Parity violating gravitational response and anomalous constitutive relations

Juan L. Ma\~nes; Manuel Valle

RECORD

Parity violating gravitational response and anomalous constitutive relations

Juan L. Mañes, Manuel Valle

High Energy Physics - Theory · Submitted 5 Nov 2012

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

The authors' main claim Our main results are two functions that parametrize the energy-momentum tensor in terms of gauge-invariant combinations of vector and tensor metric perturbations.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

Claim paper

The compiled record

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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,276 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.27 · states limitation 0.22 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.13 · compares with prior results 0.24 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We compute the parity violating part of the time-dependent gravitational response function of an ideal gas of Weyl fermions up to third order in the derivative expansion and give its full tensorial structure. Our main results are two functions that parametrize the energy-momentum tensor in terms of gauge-invariant combinations of vector and tensor metric perturbations. The zero frequency limit of these functions is related with the anomalous constitutive relations and with the full anomalous partition function in the presence of gauge and mixed anomalies. In particular, our results imply the existence of a previously unknown invariant contribution to the parity-odd partition function at third derivative order that we explicitly construct. Beyond the static limit, the gravitational response function may provide valuable insights into time-dependent phenomena driven by anomalies.

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	We compute the parity violating part of the time-dependent gravitational response function of an ideal gas of Weyl fermions up to third order in the derivative expansion and give its full tensorial structure.	contribution 0.94	0.96	0.14	asserted 1.00
s1	Our main results are two functions that parametrize the energy-momentum tensor in terms of gauge-invariant combinations of vector and tensor metric perturbations.	result 0.90	0.94	0.70	asserted 1.00
s2	The zero frequency limit of these functions is related with the anomalous constitutive relations and with the full anomalous partition function in the presence of gauge and mixed anomalies.	interpretation 0.84	0.61	0.15	asserted 0.99
s3	In particular, our results imply the existence of a previously unknown invariant contribution to the parity-odd partition function at third derivative order that we explicitly construct.	result 0.54	0.95	0.32	asserted 0.99
s4	Beyond the static limit, the gravitational response function may provide valuable insights into time-dependent phenomena driven by anomalies.	interpretation 0.84	0.14	0.07	hedged possibility 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.88.

What was examined, and what was not

sources read

arXiv listing abstract v2

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

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

We compute the parity violating part of the time-dependent gravitational response function of an ideal gas of Weyl fermions up to third order in the derivative expansion and give its full tensorial structure. Our main results are two functions that parametrize the energy-momentum tensor in terms of gauge-invariant combinations of vector and tensor metric perturbations. The zero frequency limit of these functions is related with the anomalous constitutive relations and with the full anomalous partition function in the presence of gauge and mixed anomalies. In particular, our results imply the existence of a previously unknown invariant contribution to the parity-odd partition function at third derivative order that we explicitly construct. Beyond the static limit, the gravitational response function may provide valuable insights into time-dependent phenomena driven by anomalies.

Human review

How Pith checks papers → · Full audit of this paper →

References

Forward citations

Cited by 4 Pith papers

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

Adiabatic hydrodynamics: The eightfold way to dissipation
hep-th 2015-02 conditional novelty 7.0 of 10

Hydrodynamic transport consistent with the second law splits into seven adiabatic classes plus one dissipative class, all claimed to descend from a single Abelian gauge principle.
Chern-Simons terms from thermal circles and anomalies
hep-th 2013-11 conditional novelty 7.0 of 10

A replacement rule on the anomaly polynomial generates all anomaly-induced thermodynamic response coefficients in arbitrary even dimension.
Anomaly inflow and thermal equilibrium
hep-th 2013-10 conditional novelty 6.0 of 10

A single local functional built from 'hatted' connections reproduces the anomalous part of the hydrostatic partition function in arbitrary dimension, and its derivatives give the anomaly-induced currents and stress tensor.
Anomalous Transport from Kubo Formulae
hep-th 2012-07 conditional novelty 2.0 of 10

The chiral vortical conductivity of a relativistic fluid contains a temperature-squared term proportional to the mixed gauge-gravitational anomaly, reproduced by both free-fermion and holographic calculations.

How the literature uses it

12 arXiv papers cite this in 26 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 · 21 sentences without a confident label

Uses its method or tool 1 paper

The analysis is based on the gravitational response function derived in literature [ref] .

Chiral gravitational effect in time-dependent backgrounds · Chiral gravitational effect in a dynamical background · 0.86

Compares with it 1 paper

The term proportional to $μ_5$ in Eq. [ref] actually coincides with the one derived in the previous study [ref] in the static limit of the gravitational field.

Chiral gravitational effect in time-dependent backgrounds · Chiral gravitational effect in a dynamical background · 1.00

Cites it as support 1 paper

Indeed, in the presence of $μ_5$, there can be an induced energy momentum tensor proportional to the tensor perturbation [ref] , [equation] in the Minkowski background.

Chiral effects in astrophysics and cosmology · Chiral gravitational waves · 0.97

Cites it as background 2 papers

Over the last few years, aided by various thermal field theory computations [ref] , AdS/CFT [ref] , and general hydrodynamic arguments [ref] , much progress has been made in our understanding of anomaly induced transport processes.

Anomalies and the Helicity of the Thermal State · Introduction · 0.99
Subsequently, in [ref] and [ref] it has been realized by thermal field theory computations and from general hydrodynamics arguments that anomalies induce modifications in the constitutive relations of relativistic hydrodynamics.

New Transport Properties of Anisotropic Holographic Superfluids · Introduction · 0.82

What it cites · 21 sentences without a confident label

Compares with 2 papers

Indeed, an explicit computation shows that the results in [ref] and [ref] may be rewritten as [equation] The non-linear generalization of the second term, [equation] exactly matches the form of the Bardeen-Zumino energy tensor given in [ref] when the anomalous piece of the generating functional is precisely $Γ^(1)$.

Thermodynamics, gravitational anomalies and cones · The third order generating functional · 0.89
Our result [ref] agrees with the form of the parity-odd partition function proposed in [ref] for a CPT invariant theory.

Constraints on Fluid Dynamics from Equilibrium Partition Functions · The first order generating functional · 0.99

Cites as background 7 papers

One of the most interesting and surprising developments in thermal field theory has been the recent realization that anomalies induce unexpected modifications in the constitutive relations of relativistic hydrodynamics [ref] .

Hydrodynamics with Triangle Anomalies · Introduction · 0.93
One of the most interesting and surprising developments in thermal field theory has been the recent realization that anomalies induce unexpected modifications in the constitutive relations of relativistic hydrodynamics [ref] .

Relativistic Hydrodynamics with General Anomalous Charges · Introduction · 0.93
The complete anomalous contribution to the partition function at third derivative order, together with its implications on the constitutive relations, have been recently stablished in [ref] .

Thermodynamics, gravitational anomalies and cones · The third order generating functional · 0.90

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.