Microscopic quantum superpotential in N=1 gauge theories

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dc.creatorFerrari, Frank
dc.date2007-07-26
dc.date2007-10-25
dc.date.accessioned2026-07-07T10:56:55Z
dc.date.available2026-07-07T10:56:55Z
dc.descriptionWe consider the N=1 super Yang-Mills theory with gauge group U(N), adjoint chiral multiplet X and tree-level superpotential Tr W(X). We compute the quantum effective superpotential W_mic as a function of arbitrary off-shell boundary conditions at infinity for the scalar field X. This effective superpotential has a remarkable property: its critical points are in one-to-one correspondence with the full set of quantum vacua of the theory, providing in particular a unified picture of solutions with different ranks for the low energy gauge group. In this sense, W_mic is a good microscopic effective quantum superpotential for the theory. This property is not shared by other quantum effective superpotentials commonly used in the literature, like in the strong coupling approach or the glueball superpotentials. The result of this paper is a first step in extending Nekrasov's microscopic derivation of the Seiberg-Witten solution of N=2 super Yang-Mills theories to the realm of N=1 gauge theories.
dc.description23 pages, 1 figure; typos corrected, version to appear in JHEP
dc.identifierhttps://arxiv.org/abs/0707.3885
dc.identifierhttp://arxiv.org/abs/0707.3885
dc.identifierJHEP0710:065,2007
dc.identifierdoi:10.1088/1126-6708/2007/10/065
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186577
dc.subjectHigh Energy Physics - Theory
dc.titleMicroscopic quantum superpotential in N=1 gauge theories
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