Lorentz and CPT violations from Chern-Simons modifications of QED

A. A. Andrianov; P. Giacconi; R. Soldati (INFN Bologna)

RECORD

Lorentz and CPT violations from Chern-Simons modifications of QED

A. A. Andrianov, P. Giacconi, R. Soldati (INFN Bologna)

High Energy Physics - Theory · Submitted 30 Oct 2001

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

The authors' main claim As a consequence, it turns out that the requirement of keeping the maximal residual symmetry at the quantum level just corresponds to the physical renormalization prescription which naturally fixes the one-loop parity-odd induced effective action.

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arXiv IDhep-th/0110279 (version 3)

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CitationA. A. Andrianov, P. Giacconi, R. Soldati (INFN Bologna). "Lorentz and CPT violations from Chern-Simons modifications of QED." arXiv:hep-th/0110279 (2001). https://pith.science/paper/PT5SIKCJ

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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.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,386 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.08 · states limitation 0.18 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.94 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; show every role.

The possibility of a small modification of spinor Quantum Electro-Dynamics is reconsidered, in which Lorentz and CPT non-covariant kinetic terms for photons and fermions are present. The corresponding free field theory is carefully discussed. The finite one-loop parity-odd induced effective action is unambiguously calculated using the physical cutoff method, which manifestly encodes the maximal residual symmetry group allowed by the presence of the Lorentz and CPT breaking axial-vector. This very same induced effective action, which is different from those ones so far quoted in the Literature, is also re-derived by means of the dimensional regularization, provided the maximal residual symmetry is maintained in the enlarged $D$-dimensional space-time. As a consequence, it turns out that the requirement of keeping the maximal residual symmetry at the quantum level just corresponds to the physical renormalization prescription which naturally fixes the one-loop parity-odd induced effective action.

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 possibility of a small modification of spinor Quantum Electro-Dynamics is reconsidered, in which Lorentz and CPT non-covariant kinetic terms for photons and fermions are present.	background 0.77	0.22	0.07	hedged possibility 0.94
s1	The corresponding free field theory is carefully discussed.	contribution 0.73	0.77	0.02	asserted 0.87
s2	The finite one-loop parity-odd induced effective action is unambiguously calculated using the physical cutoff method, which manifestly encodes the maximal residual symmetry group allowed by the presence of the Lorentz and CPT breaking axial-vector.	result 0.40	0.93	0.18	asserted 1.00
s3	This very same induced effective action, which is different from those ones so far quoted in the Literature, is also re-derived by means of the dimensional regularization, provided the maximal residual symmetry is maintained in the enlarged $D$-dimensional space-time.	method 0.43	0.89	0.12	asserted 0.98
s4	As a consequence, it turns out that the requirement of keeping the maximal residual symmetry at the quantum level just corresponds to the physical renormalization prescription which naturally fixes the one-loop parity-odd induced effective action.	interpretation 0.91	0.88	0.62	asserted 1.00

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

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sources read

arXiv listing abstract v3

not examined

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

levels run

P abstract

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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

The possibility of a small modification of spinor Quantum Electro-Dynamics is reconsidered, in which Lorentz and CPT non-covariant kinetic terms for photons and fermions are present. The corresponding free field theory is carefully discussed. The finite one-loop parity-odd induced effective action is unambiguously calculated using the physical cutoff method, which manifestly encodes the maximal residual symmetry group allowed by the presence of the Lorentz and CPT breaking axial-vector. This very same induced effective action, which is different from those ones so far quoted in the Literature, is also re-derived by means of the dimensional regularization, provided the maximal residual symmetry is maintained in the enlarged $D$-dimensional space-time. As a consequence, it turns out that the requirement of keeping the maximal residual symmetry at the quantum level just corresponds to the physical renormalization prescription which naturally fixes the one-loop parity-odd induced effective action.

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References

Forward citations

Cited by 5 Pith papers

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

On perturbative aspects of a nonminimal Lorentz-violating QED with CPT-odd dimension-6 terms
hep-th 2026-09 conditional novelty 6.0 of 10

One-loop corrections from dimension-6 CPT-odd Lorentz-violating operators generate a Carroll-Field-Jackiw term that diverges, but is rendered finite and five-derivative when the coefficients obey special relations.
Non-Abelian aether-like term in four dimensions
hep-th 2019-08 conditional novelty 6.0 of 10

The one-loop effective action of a minimally coupled fermion-gauge system with an axial Lorentz-violating term is shown to reproduce the non-Abelian aether term, with finite triple and quartic vertices.
Lorentz violation at high energy: concepts, phenomena and astrophysical constraints
astro-ph 2005-05 conditional novelty 6.0 of 10

Helicity-resolved effective-field-theory bookkeeping tightens some and weakens other astrophysical bounds on Planck-suppressed Lorentz violation, with photon decay in 50 TeV Crab gamma rays giving |eta| below about 0.2.
Carroll-Field-Jackiw term in nonlocal Lorentz-violating QED
hep-th 2026-07 conditional novelty 5.0 of 10

In nonlocal Lorentz-violating QED with entire form factors of the Dirac operator, the induced CFJ coefficient is finite and equals the local value times a deformation function of m/Λ.
Modern tests of Lorentz invariance
gr-qc 2005-02 accept novelty 2.0 of 10

No experiment has found Lorentz violation, and the combined terrestrial and astrophysical bounds are tight enough to exclude a generic Planck-scale origin for the effect at mass dimension six or below.

How the literature uses it

9 arXiv papers cite this in 21 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 whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States a conflicting result 1 paper

We show, to all orders in perturbation theory, that a CPT-odd and Lorentz violating Chern-Simons-like term, definitively, is not radiatively induced by the axial coupling of the fermions with the constant vector $b$.

Lorentz and CPT violation in QED revisited: A missing analysis · 0.95

Papers citing it · 13 sentences without a confident label

Uses its method or tool 1 paper

As suggested in Ref. [ref] , we rely on the residual rotational symmetry in the plane perpendicular to $𝐂_χ$ to perform first the integrations over $k'_⊥$ and $ϕ$ .

Lorentz invariance violation and the CPT-odd electromagnetic response of a tilted anisotropic Weyl semimetal · The $μ$-independent contribution · 0.95

Cites it as background 7 papers

This term has been extensively studied [ref] (see also references therein), even at finite temperature [ref] .

Induced Lorentz-violating terms at finite temperature · Introduction · 0.96
A widely studied class of QED extensions introduces Lorentz- and CPT-violating interactions in the fermionic sector [ref] .

Carroll-Field-Jackiw term in nonlocal Lorentz-violating QED · INTRODUCTION · 0.91
A survey of the principal approaches regarding this issue can be found in Refs. [ref] .

Lorentz invariance violation and the CPT-odd electromagnetic response of a tilted anisotropic Weyl semimetal · Introduction · 1.00

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