Perturbative computation of glueball superpotentials

By R. Dijkgraaf, M. Grisaru, C. Lam, C. Vafa, D. Zanon. 2002

180 citations recorded by the source corpus.

Abstract Using N =1 superspace techniques in four dimensions we show how to perturbatively compute the superpotential generated for the glueball superfield upon integrating out massive charged fields. The technique applies to arbitrary gauge groups and representations. Moreover, we show that for U ( N ) gauge theories admitting a large N expansion the computation dramatically simplifies and we prove the validity of the recently proposed recipe for computation of this quantity in terms of planar diagrams of matrix integrals.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f08f0a3b23cb859412689ba0978fd3eee6ade930

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In Nuclear and High Energy Physics

1. N. Seiberg
2. Hirosi Ooguri
3. C. Vafa
4. E. Witten
5. Y. Nakayama
6. Marcos Mariño
7. Eran Palti
8. A. Klemm

Citations in the corpus

• Chiral Rings and Anomalies in Supersymmetric Gauge Theory (2002, methodology): “For example, we determine the classical relations and quantum deformations of the chiral ring of N = 1 super Yang-Mills theory with SU(N) gauge group, showing, as one consequence, that all supersymmetric vacua of this theory have a nonzero chiral condensate.”
• The C-deformation of gluino and non-planar diagrams (2003, methodology): “The computation in [9] proceeds by noting that, in order to absorb the fermion zero modes π α , we need to bring down 2l gluino fields Wα.”
• Gravity Induced C-Deformation (2003, methodology): “16) As shown in [13] and [17] using direct field theory analysis, the effective superpotential in this case receives contributions only from planar diagrams, consistently with the topological string computation discussed in the above.”