Chirally symmetric phase of supersymmetric gluodynamics

A. Kovner, M. Shifman

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93 Scopus citations

Abstract

We argue that supersymmetric gluodynamics (theory of gluons and gluinos) has a condensate-free phase. Unlike the standard phase, the discrete axial symmetry of the Lagrangian is unbroken in this phase, and the gluino condensate does not develop. Extra unconventional vacua are supersymmetric and are characterized by the presence of (bosonic and fermionic) massless bound states. A set of arguments in favor of the conjecture includes (i) an analysis of the effective Lagrangian of the Veneziano-Yankielowicz-type which we amend to properly incorporate all symmetries of the model, (ii) consideration of an unsolved problem with the Witten index, and (iii) interpretation of a mismatch between the strong-coupling and weak-coupling instanton calculations of the gluino condensate detected previously. The impact on Seiberg’s results is briefly discussed.

Original languageEnglish (US)
Pages (from-to)2396-2402
Number of pages7
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume56
Issue number4
DOIs
StatePublished - 1997

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