Abstract
Abstract
The procedure of null reduction provides a concrete way of constructing field theories with Galilean invariance. We use this to examine Galilean gauge theories, viz. Galilean electrodynamics and Yang-Mills theories in spacetime dimensions 3 and 4. Different non-relativistic conformal symmetries arise in these contexts: Schrödinger symmetry in d = 3 and Galilean conformal symmetry in d = 4. A canonical analysis further reveals that the symmetries enhance to their infinite dimensional versions in phase space and pick up central extensions. In addition, for the Abelian theory, we discuss non-relativistic electro- magnetic duality in d = 3 and its difference with the d = 4 version. We also mention some quantum aspects for both Abelian and non-Abelian theories.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Galilean fermions: Classical and quantum aspects;Physical Review D;2023-06-09
2. Carrollian Yang-Mills theory;Journal of High Energy Physics;2023-05-31
3. Supersymmetric Galilean Electrodynamics;Journal of High Energy Physics;2022-09-28
4. Quantization of interacting Galilean field theories;Journal of High Energy Physics;2022-08-04