On free massless (pseudo)scalar quantum field theory in 1+1-dimensional space-time
High Energy Physics - Theory
2008-11-26 v3
Abstract
We construct a consistent quantum field theory of a free massless (pseudo)scalar field in 1+1-dimensional space-times free of infrared divergences. We show that a continuous symmetry of (pseudo)scalar field translations is spontaneously broken. Goldstone bosons appear as quanta of a free massless (pseudo)scalar field. We show that the main inequality between vacuum expectation values of certain operators which has been used for the derivation of the Mermin-Wagner-Hohenberg theorem is fulfilled in the quantum field theory of a free massless (pseudo)scalar field free of infrared divergences.
Keywords
Cite
@article{arxiv.hep-th/0112184,
title = {On free massless (pseudo)scalar quantum field theory in 1+1-dimensional space-time},
author = {M. Faber and A. N. Ivanov},
journal= {arXiv preprint arXiv:hep-th/0112184},
year = {2008}
}
Comments
20 pages, Latex, no figures, the manuscript is revised according to the version accepted for publication in EPJC