Chirally Symmetric Phase of Supersymmetric Gluodynamics

Details Chirally Symmetric Phase of Supersymmetric Gluodynamics Chirally Symmetric Phase of Supersymmetric Gluodynamics

1997-02-25

arxiv.org/abs/hep-th/9702174v2

Phys.Rev.D56:2396-2402,1997

Physics

High Energy Physics

High Energy Physics - Theory

Minor typos corrected; final version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.56.2396

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) 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; (iii) interpretation of a mismatch between the strong-coupling and weak coupling instanton calculations of the gluino condensate detected previously. Impact on Seiberg's results is briefly discussed.

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