Lattice-continuum relations for 3d SU(N)+Higgs theories

Details Lattice-continuum relations for 3d SU(N)+Higgs theories Lattice-continuum relations for 3d SU(N)+Higgs theories

1997-05-02

arxiv.org/abs/hep-lat/9705003v1

Nucl.Phys. B513 (1998) 471-489

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages

Scientific paper

10.1016/S0550-3213(97)00709-8

3d lattice studies have recently attracted a lot of attention, especially in connection with finite temperature field theories. One ingredient in these studies is a perturbative computation of the 2-loop lattice counterterms, which are exact in the continuum limit. We extend previous such results to SU(N) gauge theories with Higgs fields in the fundamental and adjoint representations. The fundamental SU(3)xSU(2) case might be relevant for the electroweak phase transition in the MSSM, and the adjoint case for the GUT phase transition and for QCD in the high temperature phase. We also revisit the standard SU(2)xU(1) and U(1) theories.

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