On free massless (pseudo)scalar quantum field theory in 1+1-dimensional space-time

Details On free massless (pseudo)scalar quantum field theory in 1+1-dimensional space-time On free massless (pseudo)scalar quantum field theory in 1+1-dimensional space-time

2001-12-19

arxiv.org/abs/hep-th/0112184v3

Eur.Phys.J.C24:653-663,2002

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, Latex, no figures, the manuscript is revised according to the version accepted for publication in EPJC

Scientific paper

10.1007/s10052-002-0966-2

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.

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