QFT with Stubs

Christoph Chiaffrino; Ivo Sachs

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QFT with Stubs

Christoph Chiaffrino, Ivo Sachs

High Energy Physics - Theory · Submitted 9 Aug 2021

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim This is achieved using a version of homotopy transfer resulting in a non-polynomial action for which the quantum master equation is now well defined and will be satisfied by adding additional vertices at loop level.

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,489 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.19 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.18 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

The BV-Laplacian $\Delta$ in quantum field theory is singular, by construction, but can be regularized by deforming the classical BV-action. Taking inspiration from string theory we describe a non-local deformation of the latter by adding stubs to the interaction vertices while keeping classical BV-invariance manifest. This is achieved using a version of homotopy transfer resulting in a non-polynomial action for which the quantum master equation is now well defined and will be satisfied by adding additional vertices at loop level. The latter can be defined with the help of standard regularization schemes and is independent of the definition of $\Delta$. In particular, the determination of anomalies reduces to the standard text-book calculation. Finally, we describe how the deformed (quantum) action can be obtained as a canonical transformation. As an example, we illustrate this procedure for quantum electrodynamics.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The BV-Laplacian $\Delta$ in quantum field theory is singular, by construction, but can be regularized by deforming the classical BV-action.	background 0.99	0.16	0.12	asserted 1.00
s1	Taking inspiration from string theory we describe a non-local deformation of the latter by adding stubs to the interaction vertices while keeping classical BV-invariance manifest.	contribution 0.61	0.84	0.17	asserted 1.00
s2	This is achieved using a version of homotopy transfer resulting in a non-polynomial action for which the quantum master equation is now well defined and will be satisfied by adding additional vertices at loop level.	method 0.88	0.85	0.39	asserted 1.00
s3	The latter can be defined with the help of standard regularization schemes and is independent of the definition of $\Delta$.	result 0.67	0.55	0.12	asserted 1.00
s4	In particular, the determination of anomalies reduces to the standard text-book calculation.	interpretation 0.61	0.47	0.11	asserted 1.00
s5	Finally, we describe how the deformed (quantum) action can be obtained as a canonical transformation.	contribution 0.54	0.85	0.13	asserted 0.99
s6	As an example, we illustrate this procedure for quantum electrodynamics.	contribution 0.70	0.87	0.05	asserted 0.99

What kind of paper the classifier reports this is: method or tool 0.88 · evidence from proof or derivation 0.99.

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arXiv listing abstract v1

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full text
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references and citing sentences
relations to other papers

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P abstract

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

The BV-Laplacian $\Delta$ in quantum field theory is singular, by construction, but can be regularized by deforming the classical BV-action. Taking inspiration from string theory we describe a non-local deformation of the latter by adding stubs to the interaction vertices while keeping classical BV-invariance manifest. This is achieved using a version of homotopy transfer resulting in a non-polynomial action for which the quantum master equation is now well defined and will be satisfied by adding additional vertices at loop level. The latter can be defined with the help of standard regularization schemes and is independent of the definition of $\Delta$. In particular, the determination of anomalies reduces to the standard text-book calculation. Finally, we describe how the deformed (quantum) action can be obtained as a canonical transformation. As an example, we illustrate this procedure for quantum electrodynamics.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

The BEF Symplectic Form: A Lagrangian Perspective
hep-th 2026-04 unverdicted novelty 7.0 of 10

The BEF symplectic form is derived from L∞-Lagrangians via covariant phase space methods and coincides with the Barnich-Brandt form for second-order equations of motion.
Pressure in Wilsonian effective field theory
hep-th 2026-10 conditional novelty 6.0 of 10

Pressure computed from the effective rolling tachyon solution agrees with the bare theory only before the turning point; a complementary antirolling solution covers the rest.
Symplectic structure in open string field theory III: Electric field
hep-th 2026-04 conditional novelty 6.0 of 10

OSFT symplectic energy of a constant-electric-flux D-brane matches the DBI energy via a generalized Ellwood invariant for nonpolynomial theories.

How the literature uses it

12 arXiv papers cite this in 17 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 13 sentences without a confident label

Compares with it 1 paper

Something akin to this feature can be artificially created by deforming a polynomial theory with stubs [ref] , for which the interactions are obtained through homotopy transfer of the seed theory using a “partial propagator” and the resulting (infinitely many) vertices are related to each other iteratively.

Topological recursion for hyperbolic string field theory · Introduction · 0.86

Cites it as background 3 papers

One noticeable recent progress has been a better understanding of the so-called stub deformation [ref] .

Adding stubs to quantum string field theories · Introduction and summary · 0.86
Non-local deformations in general quantum field theories and string field theories were studied in [ref] .

The BEF Symplectic Form: A Lagrangian Perspective · Introduction · 0.85
Stubs in quantum field theory are discussed in [ref] .

Noether's theorem and Ward-Takahashi identities from homotopy algebras · Regularization with stubs · 0.89

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