Exact relation of lattice and continuum parameters in three-dimensional SU(2)+Higgs theories

TL;DR

This paper derives exact counterterms for lattice simulations of three-dimensional SU(2)+Higgs theories, crucial for studying high-temperature electroweak phase transitions, including scalar fields in various representations.

Contribution

It provides the exact relation between lattice and continuum parameters for SU(2)+Higgs theories, enabling precise lattice simulations of the electroweak phase transition.

Findings

Calculated exact counterterms for SU(2)+Higgs lattice theories

Included scalar fields in fundamental and adjoint representations

Discussed the U(1)+Higgs theory case

Abstract

The essential features of the high-temperature electroweak phase transition are contained in a three-dimensional super-renormalizable effective field theory. We calculate the exact counterterms needed for lattice simulations of the SU(2)-part of this theory. Scalar fields in both fundamental and adjoint representations are included. The three-dimensional U(1)+Higgs theory is also discussed.