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

Karsch F, Neuhaus T, Patkos A, Rank J (1996)

NUCLEAR PHYSICS B 474(1): 217-232.

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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 m(w) = 0.35(1)g(2)T 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 L(2) x L(z) with L = 4 - 24 and L(z) = 16 - 128.

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

*NUCLEAR PHYSICS B*. 1996;474(1):217-232.Karsch, F., Neuhaus, T., Patkos, A., & Rank, J. (1996). Gauge boson masses in the 3D, SU(2) gauge-Higgs model.

*NUCLEAR PHYSICS B*,*474*(1), 217-232. doi:10.1016/0550-3213(96)00224-6Karsch, F., Neuhaus, T., Patkos, A., and Rank, J. (1996). Gauge boson masses in the 3D, SU(2) gauge-Higgs model.

*NUCLEAR PHYSICS B*474, 217-232.Karsch, F., et al., 1996. Gauge boson masses in the 3D, SU(2) gauge-Higgs model.

*NUCLEAR PHYSICS B*, 474(1), p 217-232. F. Karsch, et al., “Gauge boson masses in the 3D, SU(2) gauge-Higgs model”,

*NUCLEAR PHYSICS B*, vol. 474, 1996, pp. 217-232. Karsch, F., Neuhaus, T., Patkos, A., Rank, J.: Gauge boson masses in the 3D, SU(2) gauge-Higgs model. NUCLEAR PHYSICS B. 474, 217-232 (1996).

Karsch, Frithjof, Neuhaus, Thomas, Patkos, A, and Rank, J. “Gauge boson masses in the 3D, SU(2) gauge-Higgs model”.

*NUCLEAR PHYSICS B*474.1 (1996): 217-232.
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