Batalin-Vilkovisky description of Yang-Mills theories with universal extra dimensions
Abstract
The Batalin-Vilkovisky (BV) framework is a powerful technique for quantizing a wide range of gauge systems. This formalism employs fields and antifields--introducing a symplectic structure through the antibracket--to implement BRST symmetry, which captures the essence of gauge invariance. Within this context, we study the symmetry structure of a pure Yang-Mills theory with universal extra dimensions. We construct a BRST-invariant extended action for the (4+n)-dimensional theory depending on fields and antifields, which constitutes a proper solution to the master equation. The higher-dimensional spacetime and gauge symmetries are then hidden within their four-dimensional counterparts via canonical transformations. Gauge invariances are fixed by combining gauge-fixing procedures for both the standard and Kaluza-Klein (KK) fields. This procedure is implemented covariantly in the adjoint representation of the gauge group. While the standard gauge fields are fixed using the Background Field Method (BFM), the KK gauge excitations are fixed covariantly, as they transform as matter fields. Finally, the manifest SU(N) gauge symmetry of the quantized theory is emphasized.
Related
- A Unified Description of Dirac-Cone Anisotropies in Two Dimensions
- Light Ring Stability Across Spacetime Dimensions and Theories of Gravity
- Fermionic quantum field theories as probabilistic cellular automata in three dimensions
- Uniqueness of universal quantum dimensions
- Asymptotic Safety in Gauge Theories beyond Four Dimensions: Perturbative Tests and Fixed-Point Mergers
BibTeX
@misc{ahuatziavendano2026batalinvilkovisky,
title = {{Batalin-Vilkovisky description of Yang-Mills theories with universal extra dimensions}},
author = {J. A. Ahuatzi-Avendaño and A. J. Correa-León and M. Huerta-Leal and H. Novales-Sánchez and A. Sierra-Martínez and J. J. Toscano},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.10734},
eprint = {2609.10734},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.10734},
}
RIS
TY - UNPB
TI - Batalin-Vilkovisky description of Yang-Mills theories with universal extra dimensions
AU - J. A. Ahuatzi-Avendaño
AU - A. J. Correa-León
AU - M. Huerta-Leal
AU - H. Novales-Sánchez
AU - A. Sierra-Martínez
AU - J. J. Toscano
PY - 2026
DA - 2026/09/09
PB - arXiv
DO - 10.48550/arxiv.2609.10734
UR - https://arxiv.org/abs/2609.10734
AB - The Batalin-Vilkovisky (BV) framework is a powerful technique for quantizing a wide range of gauge systems. This formalism employs fields and antifields--introducing a symplectic structure through the antibracket--to implement BRST symmetry, which captures the essence of gauge invariance. Within this context, we study the symmetry structure of a pure Yang-Mills theory with universal extra dimensions. We construct a BRST-invariant extended action for the (4+n)-dimensional theory depending on fields and antifields, which constitutes a proper solution to the master equation. The higher-dimensional spacetime and gauge symmetries are then hidden within their four-dimensional counterparts via canonical transformations. Gauge invariances are fixed by combining gauge-fixing procedures for both the standard and Kaluza-Klein (KK) fields. This procedure is implemented covariantly in the adjoint representation of the gauge group. While the standard gauge fields are fixed using the Background Field Method (BFM), the KK gauge excitations are fixed covariantly, as they transform as matter fields. Finally, the manifest SU(N) gauge symmetry of the quantized theory is emphasized.
ER -