Gauge boson masses in the 3-D, SU(2) gauge Higgs model
Feb, 199619 pages
Published in:
- Nucl.Phys.B 474 (1996) 217-234
e-Print:
- hep-lat/9603004 [hep-lat]
Report number:
- BI-TP-96-10,
- WUB-96-5
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Abstract:
We study gauge boson propagators in the symmetric and symmetry broken phases of the 3-d, 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 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 with and .Note:
- 20 pages, LaTeX2e File, 8 Postscript figures Report-no: BI-TP 96/10, WUB 96-5
- 11.10.Wx
- 11.15.Ha
- Electroweak Phase Transition
- SU(2) gauge-Higgs model
- Lattice simulations
- Spontaneous symmetry breaking
- Critical behaviour
- Thermal gauge boson masses
- gauge field theory: SU(2)
- Higgs model
References(27)
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