Coleman, Sidney and Jackiw, R. and Politzer, H. D. (1974) Spontaneous symmetry breaking in the O(N) model for large N. Physical Review D, 10 (8). pp. 2491-2499. ISSN 2470-0010. doi:10.1103/PhysRevD.10.2491. https://resolver.caltech.edu/CaltechAUTHORS:COLprd74
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Abstract
We study the O(N) generalization of the σ model in the limit of large N, for four, three, two, and one space-time dimensions. We compute the effective potential and some momentum-dependent Green's functions. In one and two dimensions, spontaneous symmetry breakdown is impossible; any asymmetric minimum inserted in the tree-approximation potential is immediately filled in by the effects of radiative corrections. This is in agreement with general theorems. In four dimensions, the model is inconsistent; it possesses a tachyon. In three dimensions, the model seems to be consistent, and offers an interesting example of some nonlinear effects associated with spontaneous symmetry breakdown that are not present in the usual (tree-approximation) models.
Item Type: | Article | ||||||
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Additional Information: | ©1974 The American Physical Society. Received 8 May 1974. Work supported in part by the National Science Foundation under Grant No. GP 40397X and the U.S. Atomic Energy Commission under Contract No. AT(11-1)-3069. | ||||||
Issue or Number: | 8 | ||||||
DOI: | 10.1103/PhysRevD.10.2491 | ||||||
Record Number: | CaltechAUTHORS:COLprd74 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:COLprd74 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 9106 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | Tony Diaz | ||||||
Deposited On: | 29 Oct 2007 | ||||||
Last Modified: | 08 Nov 2021 20:56 |
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