Paper Citation Record · LEDGER

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions

As of 21 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 1 inbound Pith citation observation for arXiv:2511.15423.

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pith.paper-citation-record.v1
2511.15423 v5

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measured 65 of 65 reference resolution

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measured 66 of 66 standing notices

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Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-16T11:29:31.242301Z

measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-05-16T11:30:53.388330Z

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65 of 65 outbound references displayed

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Outbound references

Observation d11d753a-928f-401b-845f-a569199b6466 · outbound

This paper cites Fujii and K.-i.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Fujii and K.-i

Reference 1

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Observation 09581f8f-e018-4ebf-8e25-fba6742fc43a · outbound

This paper cites TASI Lectures on Inflation.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions TASI Lectures on Inflation

Reference 2

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Observation fb1e95e5-3b9e-491b-9619-117bb24d4044 · outbound

This paper cites Dynamics of dark energy.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Dynamics of dark energy

Reference 3

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Observation 948c2524-2c76-4ae2-8861-ca899d42636e · outbound

This paper cites Ratra and P.J.E.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Ratra and P.J.E

Reference 4

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Observation c70f33da-96b9-4c70-bbf8-c23c0f1e4f67 · outbound

This paper cites Cosmology and the Fate of Dilatation Symmetry.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Cosmology and the Fate of Dilatation Symmetry

Reference 5

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Observation 66bc7a90-f24d-450a-8bee-f22a237d7eb3 · outbound

This paper cites Cosmological Imprint of an Energy Component with General Equation of State.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Cosmological Imprint of an Energy Component with General Equation of State

Reference 6

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Observation 8f0bc107-1a07-47d7-a437-43d01770f2f3 · outbound

This paper cites Quintessence, Cosmic Coincidence, and the Cosmological Constant.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Quintessence, Cosmic Coincidence, and the Cosmological Constant

Reference 7

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Observation 5802638f-682b-4636-acef-24b8aea85c17 · outbound

This paper cites Essentials of k-essence.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Essentials of k-essence

Reference 8

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Observation b3c1a7c8-1e94-4a3c-98f2-30fc64c01496 · outbound

This paper cites Covariant Galileon.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Covariant Galileon

Reference 9

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Observation aceee6d9-5da8-453c-a3de-92a06512b5e7 · outbound

This paper cites Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors

Reference 10

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Observation f28d8262-e49f-442f-9680-e4622d436ca5 · outbound

This paper cites Cosmology of a covariant Galileon field.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Cosmology of a covariant Galileon field

Reference 11

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Observation 6995451c-7ca3-4ce6-b392-bd993dc0b409 · outbound

This paper cites Imperfect Dark Energy from Kinetic Gravity Braiding.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Imperfect Dark Energy from Kinetic Gravity Braiding

Reference 12

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Observation e4f5f763-358c-483f-8c81-59789590f3cb · outbound

This paper cites Dark Energy and Modified Gravity in Degenerate Higher-Order Scalar-Tensor (DHOST) theories: a review.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Dark Energy and Modified Gravity in Degenerate Higher-Order Scalar-Tensor (DHOST) theories: a review

Reference 13

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Observation 18aaf0c0-55c2-45c2-a5b9-2dc06d992143 · outbound

This paper cites Ostrogradsky,M´ emoires sur les ´ equations diff´ erentielles, relatives au probl` eme des isop´ erim` etres, Mem.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Ostrogradsky,M´ emoires sur les ´ equations diff´ erentielles, relatives au probl` eme des isop´ erim` etres, Mem

Reference 14

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Observation 841a6349-752a-4075-bc0f-01bdd18fa974 · outbound

This paper cites The Theorem of Ostrogradsky.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions The Theorem of Ostrogradsky

Reference 15

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Observation 8a497333-e3f0-4615-948f-65d329059a63 · outbound

This paper cites Horndeski theory and beyond: a review.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Horndeski theory and beyond: a review

Reference 16

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Observation c2a17991-3f04-4a6b-adbe-acdf954cbf59 · outbound

This paper cites Resolving the Ostrogradsky Ghost Problem for a Class of Scalar-tensor Theories.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Resolving the Ostrogradsky Ghost Problem for a Class of Scalar-tensor Theories

Reference 17

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Observation d13015c2-6ba5-4cf9-b85e-ccc9ea7d26eb · outbound

This paper cites Proof of the most general multiple-scalar field theory in Minkowski space-time free of Ostrogradski Ghost.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Proof of the most general multiple-scalar field theory in Minkowski space-time free of Ostrogradski Ghost

Reference 18

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Observation 35182df8-aabd-4879-b95c-f0e716c91960 · outbound

This paper cites The galileon as a local modification of gravity.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions The galileon as a local modification of gravity

Reference 19

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Observation 7ac675ae-fd4c-4e6e-b314-38c59a2b00cc · outbound

This paper cites Horndeski,Second-order scalar-tensor field equations in a four-dimensional space,Int.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Horndeski,Second-order scalar-tensor field equations in a four-dimensional space,Int

Reference 20

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Observation ed18a706-e9d5-447b-8549-f0ce2fccccc8 · outbound

This paper cites From k-essence to generalised Galileons.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions From k-essence to generalised Galileons

Reference 21

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This paper cites Generalized G-inflation: Inflation with the most general second-order field equations.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Generalized G-inflation: Inflation with the most general second-order field equations

Reference 22

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Observation 3e19726c-d2dd-40c0-b62a-e787277f2b05 · outbound

This paper cites Essential Building Blocks of Dark Energy.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Essential Building Blocks of Dark Energy

Reference 23

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Observation 45b5edb6-da50-408d-8375-ec96decc97a3 · outbound

This paper cites Healthy theories beyond Horndeski.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Healthy theories beyond Horndeski

Reference 24

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This paper cites Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability

Reference 25

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Observation f817e74b-45a4-4836-bd53-9defbbb4092f · outbound

This paper cites Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations

Reference 26

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This paper cites Extended Scalar-Tensor Theories of Gravity.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Extended Scalar-Tensor Theories of Gravity

Reference 27

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Observation 5b1e086a-969f-43ea-9215-16847883e1d8 · outbound

This paper cites Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order

Reference 28

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Observation 93896454-3f0a-4712-a1e0-c11173a27cfd · outbound

This paper cites Generalized disformal Horndeski theories: cosmological perturbations and consistent matter coupling.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Generalized disformal Horndeski theories: cosmological perturbations and consistent matter coupling

Reference 29

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Effective description of generalized disformal theories

Reference 30

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions The Effective Field Theory of Inflation

Reference 31

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Observation bd0febe3-abce-412b-bddf-661dc3fe4310 · outbound

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions The Effective Field Theory of Dark Energy

Reference 32

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions A unifying description of dark energy

Reference 33

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Effective Description of Higher-Order Scalar-Tensor Theories

Reference 34

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Effective Field Theory of Dark Energy: a Review

Reference 35

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Cosmological gravity probes: connecting recent theoretical developments to forthcoming observations

Reference 36

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Generalized Galileon cosmology

Reference 37

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Constraining modified theory of gravity with galaxy bispectrum

Reference 38

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Scalar-tensor theories and modified gravity in the wake of GW170817

Reference 39

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Second-order peculiar velocity field as a novel probe of scalar-tensor theories

Reference 40

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Skewness consistency relation in large-scale structure and test of gravity theory

Reference 41

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This paper cites New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies

Reference 42

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Kurtosis consistency relation in large-scale structure as a probe of gravity theories

Reference 43

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This paper cites The most general second-order field equations of bi-scalar-tensor theory in four dimensions.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions The most general second-order field equations of bi-scalar-tensor theory in four dimensions

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Second-Order Bi-Scalar-Tensor Field Equations in a Space of Four-Dimensions

Reference 45

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Multi-field G-inflation

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions New terms for scalar multi-Galileon models and application to SO(N) and SU(N) group representations

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Generalized multi-Galileons, covariantized new terms, and the no-go theorem for non-singular cosmologies

Reference 48

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Shift-symmetric $SO(N)$ multi-Galileon

Reference 49

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Lovelock,The Einstein tensor and its generalizations,J

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Efstathiou, W.J

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Observation c5756f6e-fa7b-4142-865b-80f02a8ae5ac · outbound

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions The Relation between Physical and Gravitational Geometry

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Observation 4fd04d11-1cfd-4452-9922-62e0f6a82b98 · outbound

This paper cites Disformal invariance of second order tensor-scalar theories: framing the Horndeski action.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Disformal invariance of second order tensor-scalar theories: framing the Horndeski action

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Observation a2eb3db0-92e3-4e34-bd17-047561de6e0d · outbound

This paper cites Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-03T21:33:50.193650Z

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Observation 78e66e2d-434d-45f8-b38f-d99c277de188 · outbound

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Exploring gravitational theories beyond Horndeski

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Covariant multi-galileons and their generalisation

Reference 59

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Primordial perturbations and non-Gaussianities in DBI and general multi-field inflation

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Primordial fluctuations and non-Gaussianities from multifield DBI Galileon inflation

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This paper cites Dom` enech, A.

A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Dom` enech, A

Reference 62

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Katayama,in preparation, 202X

Reference 63

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Multi-disformal invariance of nonlinear primordial perturbations

Reference 64

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Two-field disformal transformation and mimetic cosmology

Reference 65

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions On the Disformal Transformation of the Einstein-Hilbert Action

Reference 66

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A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions Degenerate Higher-Order Scalar-Tensor (DHOST) theories

Reference 67

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Observation 12616578-e177-4075-b923-dacca2d4956a · inbound

Effective geometrodynamics for renormalization-group improved black-hole spacetimes in spherical symmetry cites this paper.

Effective geometrodynamics for renormalization-group improved black-hole spacetimes in spherical symmetry A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions

Reference 93

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