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PreprintCC BY 4.0arXiv

An Algebraic Proof of Gauge-Fixing Independence

  • Jiuhe Liu
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Abstract

This paper provides an algebraic proof of the gauge-fixing independence of perturbative asymptotic expansions in a finite-dimensional model of non-Abelian gauge theory. We develop an algebraic framework using the BRST formalism and perturbation theory. Our main theorem shows that under appropriate transversality conditions, normalized expectation values of observables remain unchanged under smooth deformations of the gauge-fixing conditions that preserve these assumptions.

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Cite

BibTeXRIS
BibTeX
@misc{liu2026algebraic,
  title = {{An Algebraic Proof of Gauge-Fixing Independence}},
  author = {Jiuhe Liu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.05872},
  eprint = {2609.05872},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.05872},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - An Algebraic Proof of Gauge-Fixing Independence
AU  - Jiuhe Liu
PY  - 2026
DA  - 2026/09/05
PB  - arXiv
DO  - 10.48550/arxiv.2609.05872
UR  - https://arxiv.org/abs/2609.05872
AB  - This paper provides an algebraic proof of the gauge-fixing independence of perturbative asymptotic expansions in a finite-dimensional model of non-Abelian gauge theory. We develop an algebraic framework using the BRST formalism and perturbation theory. Our main theorem shows that under appropriate transversality conditions, normalized expectation values of observables remain unchanged under smooth deformations of the gauge-fixing conditions that preserve these assumptions.
ER  -