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Gauge (in)dependence and background field formalism

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Peter M. Lavrov

High Energy Physics - Theory · Submitted 6 May 2018

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

The authors' main claim It is shown that the gauge invariance and gauge dependence properties of effective action for Yang-Mills theories should be considered as two independent issues in the background field formalism.

how it is stated · asserted 1.00 read the record →

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arXiv ID1805.02149 (version 5)
Pith IDODPG23H3, Pith's permanent record of this paper and its review
CitationPeter M. Lavrov. "Gauge (in)dependence and background field formalism." arXiv:1805.02149 (2018). https://pith.science/paper/ODPG23H3
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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-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,512 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.80 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.11 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v5. Results and the main claim are underlined; .

It is shown that the gauge invariance and gauge dependence properties of effective action for Yang-Mills theories should be considered as two independent issues in the background field formalism. Application of this formalism to formulate the functional renormalization group approach is discussed. It is proven that there is a possibility to construct the corresponding average effective action invariant under the gauge transformations of background vector field. Nevertheless, being gauge invariant this action remains gauge dependent on-shell.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 It is shown that the gauge invariance and gauge dependence properties of effective action for Yang-Mills theories should be considered as two independent issues in the background field formalism. result 0.80 0.83 0.78 asserted 1.00
s1 Application of this formalism to formulate the functional renormalization group approach is discussed. contribution 0.58 0.52 0.05 asserted 0.58
s2 It is proven that there is a possibility to construct the corresponding average effective action invariant under the gauge transformations of background vector field. result 0.97 0.82 0.21 asserted 0.58
s3 Nevertheless, being gauge invariant this action remains gauge dependent on-shell. result 0.90 0.77 0.38 asserted 1.00

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

What was examined, and what was not

sources read
  • arXiv listing abstract v5
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • 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

It is shown that the gauge invariance and gauge dependence properties of effective action for Yang-Mills theories should be considered as two independent issues in the background field formalism. Application of this formalism to formulate the functional renormalization group approach is discussed. It is proven that there is a possibility to construct the corresponding average effective action invariant under the gauge transformations of background vector field. Nevertheless, being gauge invariant this action remains gauge dependent on-shell.

Human review

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How the literature uses it

5 arXiv papers cite this in 9 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 · 6 sentences without a confident label

Uses its method or tool 1 paper
  • In the present work, we apply the background field method [ref] (recent advances for the gauge theories can be found in [ref] and discussion for the quantum gravities case in [ref] ) in the FRG approach as a reformulation to the quantization procedure for quantum gravity theories to study the gauge dependence problem in this kind of theory.

    Functional renormalization group approach and gauge dependence in gravity theories · Introduction · 0.90

Cites it as background 2 papers

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