Science-advisor
REGISTER info/FAQ
Login
username
password
     
forgot password?
register here
 
Research articles
  search articles
  reviews guidelines
  reviews
  articles index
My Pages
my alerts
  my messages
  my reviews
  my favorites
 
 
Stat
Members: 3643
Articles: 2'488'730
Articles rated: 2609

29 March 2024
 
  » arxiv » hep-th/0204237

 Article overview


On spontaneous breaking of continuous symmetry in 1+1-dimensional space-time
M. Faber ; A. N. Ivanov ;
Date 29 Apr 2002
Subject hep-th
AbstractWe analyse Coleman’s theorem asserting the absence Goldstone bosons and spontaneously broken continuous symmetry in the quantum field theory of a free massless (pseudo)scalar field in 1+1-dimensional space-time (Comm. Math. Phys. 31, 259 (1973)). We confirm that Coleman’s theorem reproduces well-known Wightman’s statement about the non-existence of a quantum field theory of a free massless (pseudo)scalar field in 1+1-dimensional space-time in terms of Wightman’s observables defined on the test functions from S(R^2). Referring to our results (Eur. Phys. J. C 24, 653 (2002)) we argue that a formulation of a quantum field theory of a free massless (pseudo)scalar field in terms of Wightman’s observables defined on the test functions from S_0(R^2) is motivated well by the possibility to remove a collective zero-mode motion of the ``center of mass’’ of a free massless (pseudo)scalar field (Eur. Phys. J. C 24, 653 (2002)) responsible for infrared divergences of the Wightman functions. We show that in the quantum field theory of a free massless (pseudo)scalar field with Wightman’s observables defined on the test functions from S_0(R^2) a continuous symmetry is spontaneously broken. Coleman’s theorem reformulated for the test functions from S_0(R^2) does not refute this result. We construct a most general version of a quantum field theory of a self-coupled massless (pseudo)scalar field with a conserved current. We show that this theory satisfies Wightman’s axioms and Wightman’s positive definiteness condition with Wightman’s observables defined on the test functions from S(R^2) and possesses spontaneously broken continuous symmetry. Nevertheless, in this theory the generating functional of Green functions exists only when the collective zero-mode is not excited by the external source.
Source arXiv, hep-th/0204237
Services Forum | Review | PDF | Favorites   
 
Visitor rating: did you like this article? no 1   2   3   4   5   yes

No review found.
 Did you like this article?

This article or document is ...
important:
of broad interest:
readable:
new:
correct:
Global appreciation:

  Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.

browser claudebot






ScienXe.org
» my Online CV
» Free


News, job offers and information for researchers and scientists:
home  |  contact  |  terms of use  |  sitemap
Copyright © 2005-2024 - Scimetrica