A non-perturbative study of massive gauge theories

We consider a non-perturbative formulation of an SU(2) massive gauge theory on a space-time lattice, which is also a discretised gauged non-linear chiral model. The lattice model is shown to have an exactly conserved global SU(2) symmetry. If a scaling region for the lattice model exists and the lig...

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Bibliographic Details
Authors: Della Morte, Michele, Hernández Gamazo, Pilar
Format: article
Status:Versión enviada para evaluación y publicación
Publication Date:2013
Country:España
Institution:Consejo Superior de Investigaciones Científicas (CSIC)
Repository:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/125143
Online Access:http://hdl.handle.net/10261/125143
Access Level:Open access
Keyword:Higgs Physics
Lattice Gauge Field Theories
Gauge symmetry
Sigma Models
Description
Summary:We consider a non-perturbative formulation of an SU(2) massive gauge theory on a space-time lattice, which is also a discretised gauged non-linear chiral model. The lattice model is shown to have an exactly conserved global SU(2) symmetry. If a scaling region for the lattice model exists and the lightest degrees of freedom are spin one vector particles with the same quantum numbers as the conserved current, we argue that the most general effective theory describing their low-energy dynamics must be a massive gauge theory. We present results of a exploratory numerical simulation of the model and find indications for the presence of a scaling region where both a triplet vector and a scalar remain light.