Gauge boson masses in the 3D, SU(2) gauge-Higgs model

F. Karsch, T. Neuhaus, A. Patkós, J. Rank

Research output: Contribution to journalArticle

59 Citations (Scopus)

Abstract

We study gauge boson propagators in the symmetric and symmetry broken phases of the 3D, SU(2) gauge-Higgs model. Correlation functions for the gauge fields are calculated in Landau gauge. They are found to decay exponentially at large distances leading to a non-vanishing mass for the gauge bosons. We find that the W-boson screening mass drops in the symmetry broken phase when approaching the critical temperature. In the symmetric phase the screening mass stays small and is independent of the scalar-gauge coupling (the hopping parameter). Numerical results coincide with corresponding calculations performed for the pure gauge theory. We find mw = 0.35(1)g2T in this phase which is consistent with analytic calculations based on gap equations. This is, however, significantly smaller than masses extracted from gauge-invariant vector boson correlation functions. As internal consistency check we also have calculated correlation functions for gauge-invariant operators leading to scalar and vector boson masses. Finite lattice size effects have been systematically analyzed on lattices of size L2 × Lz with L = 4 - 24 and Lz = 16 - 128.

Original languageEnglish
Pages (from-to)217-232
Number of pages16
JournalNuclear Physics B
Volume474
Issue number1
DOIs
Publication statusPublished - Aug 19 1996

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bosons
broken symmetry
screening
scalars
guy wires
gauge theory
critical temperature
operators
propagation
decay

Keywords

  • Critical behaviour
  • Electroweak phase transition
  • Lattice simulations
  • Spontaneous symmetry breaking
  • SU(2) gauge-Higgs model
  • Thermal gauge boson masses

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Gauge boson masses in the 3D, SU(2) gauge-Higgs model. / Karsch, F.; Neuhaus, T.; Patkós, A.; Rank, J.

In: Nuclear Physics B, Vol. 474, No. 1, 19.08.1996, p. 217-232.

Research output: Contribution to journalArticle

Karsch, F. ; Neuhaus, T. ; Patkós, A. ; Rank, J. / Gauge boson masses in the 3D, SU(2) gauge-Higgs model. In: Nuclear Physics B. 1996 ; Vol. 474, No. 1. pp. 217-232.
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