On gaugino condensation with field-dependent gauge couplings

C. P. Burgess, J. P. Derendinger, F. Quevedo, M. Quirós

Research output: Contribution to journalArticlepeer-review


We study in detail gaugino condensation in globally and locally supersymmetric Yang-Mills theories. We focus on models for which gauge-neutral matter couples to the gauge bosons only through nonminimal gauge kinetic terms, for the cases of one and several condensing gauge groups. Using only symmetry arguments, the low-energy expansion, and general properties of supersymmetry, we compute the low energy Wilson action, as well as the (2PI) effective action for the composite classical superfield U ≡ 〈Tr WαWα,〉 with Wα the supersymmetric gauge field strength. The 2PI effective action provides a firmer foundation for the approach of Veneziano and Yankielowicz, who treated the composite superfield, U, as a quantum degree of freedom. We show how to rederive the Wilson action by minimizing the 2PI action with respect to U. We determine, in both formulations and for global and local supersymmetry, the effective superpotential, W, the non-perturbative contributions to the low-energy Kähler potential, K, and the leading higher supercovariant derivative terms in an expansion in inverse powers of the condensation scale. As an application of our results we include the string moduli dependence of the super-and Kähler-potentials for simple orbifold models.

Original languageEnglish (US)
Pages (from-to)193-233
Number of pages41
JournalAnnals of Physics
Issue number1
StatePublished - Aug 25 1996

ASJC Scopus subject areas

  • General Physics and Astronomy


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