The Higgs mechanism on the lattice

نویسنده

I. Montvay

چکیده

The lattice regularization of the Higgs sector of the standard model is summarized. The triviality bound and vacuum instability bound are described. The question of chiral gauge theories is discussed. Some aspects of the numerical simulations of the electroweak phase transition are considered. 1. Lattice regularization of the Higgs sector The masses of the elementary particles in the standard model are due to the Higgs mechanism which is the consequence of the spontaneous symmetry breaking in the scalar field sector of the theory. The spontaneous symmetry breaking is a nonperturbative phenomenon which can be well described in the framework of lattice regularization.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

سیستمهای الکترونی همبسته قوی در شبکه‌های ناکام

We give an overview of recent work on charge degrees of freedom of strongly correlated electrons on geometrically frustrated lattices. Special attention is paid to the checkerboard lattice, i.e., the two-dimensional version of a pyrochlore lattice and to the kagomé lattice. For the checkerboard lattice it is shown that at half filling when spin degrees of freedom are neglected and at quarter f...

متن کامل

Vortex Proliferation and the Dual Superconductor Scenario for Confinement: The 3D Compact U(1) Lattice Higgs Model

It is argued that the phase diagram of the 3D Compact U(1) Lattice Higgs Model is more refined than generally thought. The confined and Higgs phases are separated by a well-defined phase boundary, marked by proliferating vortices. It is shown that the confinement mechanism at work is precisely the dual superconductor scenario. c Copyright owned by the author(s) under the terms of the Creative C...

متن کامل

Infrared Abelian Dominance and Dual Higgs Mechanism in MA Gauge

We study infrared abelian dominance and the dual Higgs mechanism in the maximally abelian (MA) gauge using the lattice QCD Monte Carlo simulation. In the MA gauge, the off-diagonal gluon phase tends to be random, and the off-diagonal gluon A±μ acquires the effective mass as Moff ≃ 1.2 GeV. From the monopole current in the MA gauge, we extract the dual gluon field Bμ and estimate the dual gluon ...

متن کامل

Dual Lattice Simulations of Flux Tubes

Abelian gauge theories formulated on a space-time lattice can be used as a prototype for investigating the confinement mechanism. In U(1) lattice gauge theory it is possible to perform a dual transformation of the path integral. Simulating the obtained dual theory (which corresponds to a certain limit of a dual Higgs model) including external sources, we perform a very accurate analysis of flux...

متن کامل