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PreprintCC BY 4.0arXiv

Scale Anomaly in Supersymmetric Quantum Electrodynamics: Ward Identities, Supersymmetry Breaking, and Decoupling

  • A. Yu. Petrov
  • A. R. Vieira
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Abstract

We study the breaking of the scale symmetry both within classical and quantum frameworks in the supersymmetric quantum electrodynamics (SQED) by applying a four-dimensional regularization that preserves supersymmetry. At the classical level, scale symmetry is shown to be broken by mass terms. At the quantum level, it is demonstrated to be broken by a term proportional to the SQED beta function in the massless limit. It is also shown how this anomaly manifests itself in the low- and high-energy limits and how the Appelquist-Carazzone theorem reproduces the usual quantum electrodynamics result in the limit of heavy selectrons.

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Cite

BibTeXRIS
BibTeX
@misc{petrov2026scale,
  title = {{Scale Anomaly in Supersymmetric Quantum Electrodynamics: Ward Identities, Supersymmetry Breaking, and Decoupling}},
  author = {A. Yu. Petrov and A. R. Vieira},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.28900},
  eprint = {2610.28900},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.28900},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Scale Anomaly in Supersymmetric Quantum Electrodynamics: Ward Identities, Supersymmetry Breaking, and Decoupling
AU  - A. Yu. Petrov
AU  - A. R. Vieira
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.28900
UR  - https://arxiv.org/abs/2610.28900
AB  - We study the breaking of the scale symmetry both within classical and quantum frameworks in the supersymmetric quantum electrodynamics (SQED) by applying a four-dimensional regularization that preserves supersymmetry. At the classical level, scale symmetry is shown to be broken by mass terms. At the quantum level, it is demonstrated to be broken by a term proportional to the SQED beta function in the massless limit. It is also shown how this anomaly manifests itself in the low- and high-energy limits and how the Appelquist-Carazzone theorem reproduces the usual quantum electrodynamics result in the limit of heavy selectrons.
ER  -