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

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Lena Janshen
  • Domenico Giulini

Research Organisations

External Research Organisations

  • University of Göttingen
  • University of Bremen
View graph of relations

Details

Original languageEnglish
Article number107
Number of pages48
JournalJournal of high energy physics
Volume2024
Issue number5
Publication statusPublished - 9 May 2024

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.

Keywords

    Gauge Symmetry, Global Symmetries, Space-Time Symmetries, Spontaneous Symmetry Breaking

ASJC Scopus subject areas

Cite this

Asymptotic symmetries of SU(2) Yang-Mills-Higgs theory in Hamiltonian formulation. / Janshen, Lena; Giulini, Domenico.
In: Journal of high energy physics, Vol. 2024, No. 5, 107, 09.05.2024.

Research output: Contribution to journalArticleResearchpeer review

Janshen L, Giulini D. Asymptotic symmetries of SU(2) Yang-Mills-Higgs theory in Hamiltonian formulation. Journal of high energy physics. 2024 May 9;2024(5):107. doi: 10.1007/JHEP05(2024)107
Download
@article{b2a78e851c5a4e04915237375b28d51a,
title = "Asymptotic symmetries of SU(2) Yang-Mills-Higgs theory in Hamiltonian formulation",
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.",
keywords = "Gauge Symmetry, Global Symmetries, Space-Time Symmetries, Spontaneous Symmetry Breaking",
author = "Lena Janshen and Domenico Giulini",
note = "Publisher Copyright: {\textcopyright} The Author(s) 2024.",
year = "2024",
month = may,
day = "9",
doi = "10.1007/JHEP05(2024)107",
language = "English",
volume = "2024",
journal = "Journal of high energy physics",
issn = "1029-8479",
publisher = "Springer Verlag",
number = "5",

}

Download

TY - JOUR

T1 - Asymptotic symmetries of SU(2) Yang-Mills-Higgs theory in Hamiltonian formulation

AU - Janshen, Lena

AU - Giulini, Domenico

N1 - Publisher Copyright: © The Author(s) 2024.

PY - 2024/5/9

Y1 - 2024/5/9

N2 - 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.

AB - 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.

KW - Gauge Symmetry

KW - Global Symmetries

KW - Space-Time Symmetries

KW - Spontaneous Symmetry Breaking

UR - http://www.scopus.com/inward/record.url?scp=85192796951&partnerID=8YFLogxK

U2 - 10.1007/JHEP05(2024)107

DO - 10.1007/JHEP05(2024)107

M3 - Article

AN - SCOPUS:85192796951

VL - 2024

JO - Journal of high energy physics

JF - Journal of high energy physics

SN - 1029-8479

IS - 5

M1 - 107

ER -