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Uspekhi Fizicheskikh Nauk, 2002, Volume 172, Number 7, Pages 729–741
DOI: https://doi.org/10.3367/UFNr.0172.200207a.0729
(Mi ufn2031)
 

This article is cited in 2 scientific papers (total in 2 papers)

REVIEWS OF TOPICAL PROBLEMS

Counting vacua in supersymmetric Yang–Mills theory

K. G. Selivanov

Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
References:
Abstract: The recent progress concerning the Witten index in N=1 supersymmetric Yang–Mills theory is reviewed. Since 1982 there has been a controversy in counting vacua. The original calculation of the Witten index conflicted with expectations based on the chiral symmetry breaking picture. The controversy was resolved by Witten in 1998 who discovered additional disconnected components in the space of classical vacua in Yang–Mills theory compactified on a three-dimensional torus. We review the resolution of the controversy, describe those additional vacua and the corresponding gauge fields. We also discuss how the Witten index feels the physics of confinement and chiral symmetry breaking.
Received: September 12, 2001
English version:
Physics–Uspekhi, 2002, Volume 45, Issue 7, Pages 675–686
DOI: https://doi.org/10.1070/PU2002v045n07ABEH001109
Bibliographic databases:
Document Type: Article
PACS: 02.20.-a, 11.15.-q, 11.30.Pb
Language: Russian


Citation: K. G. Selivanov, “Counting vacua in supersymmetric Yang–Mills theory”, UFN, 172:7 (2002), 729–741; Phys. Usp., 45:7 (2002), 675–686
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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