considered lattice sizes). Within this region further increase of the cutoff is possible although we do not observe this in details due to the strong fluctuations of the gauge boson correlator. Both mentioned above regions look unphysical. Therefore we come to the conclusion that the maximal value of the cutoff admitted within lattice Electroweak theory cannot exceed the value of the order of $1$ TeV.
author:
- 'M.A.Zubkov'
title: 'How to approach continuum physics in lattice Weinberg - Salam model'
---

Introduction
============

It is well - known [@M_W_T], that the finite temperature perturbation expansion breaks down at the temperatures above the electroweak transition/crossover already for Higgs masses above about $60$ GeV. Therefore the present lower bound on the Higgs mass requires the use of nonperturbative techniques while investigating electroweak physics at high temperature.

Nambu monopoles are not described by means of a perturbation expansion around the trivial vacuum background. Therefore, nonperturbative methods should be used in order to investigate their physics. However, their mass is estimated at the Tev scale. That’s why at zero temperature and at the energies much less than $1$ Tev their effect on physical observables is negligible. However, when energy of the processes approaches $1$ 