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

Abstract

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.

21 pages

References in corpus (9)

• A Non-Perturbative Analysis of the Finite T Phase Transition in SU(2)xU(1) Electroweak Theory
• 3d SU(N) + adjoint Higgs theory and finite temperature QCD
• Where the electroweak phase transition ends
• Non-perturbative Debye mass in finite T QCD
• The 2-loop MSSM finite temperature effective potential with stop condensation
• Computing the Strong Sphaleron Rate
• SUSY and the Electroweak Phase Transition
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• SU(5)+Adjoint Higgs Model at Finite Temperature

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