Asymptotic symmetries of SU(2) Yang-Mills-Higgs theory in Hamiltonian formulation

Author:

Janshen LenaORCID,Giulini DomenicoORCID

Abstract

Abstract We investigate the asymptotic symmetry group of a SU(2)-Yang-Mills theory coupled to a Higgs field in the Hamiltonian formulation. This extends previous work on the asymptotic structure of pure electromagnetism by Henneaux and Troessaert, and on electromagnetism coupled to scalar fields and pure Yang-Mills fields by Tanzi and Giulini. We find that there are no obstructions to global electric and magnetic charges, though that is rather subtle in the magnetic case. Again it is the Hamiltionian implementation of boost symmetries that need a careful and technically subtle discussion of fall-off and parity conditions of all fields involved.

Publisher

Springer Science and Business Media LLC

Reference26 articles.

1. M. Henneaux and C. Troessaert, Asymptotic symmetries of electromagnetism at spatial infinity, JHEP 05 (2018) 137 [arXiv:1803.10194] [INSPIRE].

2. R. Tanzi and D. Giulini, Asymptotic symmetries of Yang-Mills fields in Hamiltonian formulation, JHEP 10 (2020) 094 [arXiv:2006.07268] [INSPIRE].

3. R. Tanzi and D. Giulini, Asymptotic symmetries of scalar electrodynamics and of the abelian Higgs model in Hamiltonian formulation, JHEP 08 (2021) 117 [arXiv:2101.07234] [INSPIRE].

4. Paul Adrien Maurice Dirac, Lectures on Quantum Mechanics. Belfer Graduate School of Science (1964).

5. R. Tanzi, Hamiltonian study of the asymptotic symmetries of gauge theories, Ph.D. thesis, Center of Applied Space Technology and Microgravity (ZARM), Universität Bremen, 28359 Bremen, Germany (2021) [arXiv:2109.02350] [INSPIRE].

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