Non-perturbative aspects in supersymmetric gauge theories

Amati, D.; Konishi, Kenichi; Meurice, Yannick; Rossi, G.C.; Veneziano, G.

doi:10.1016/0370-1573(88)90182-2

Cited by 390 publications

(543 citation statements)

References 94 publications

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“…This strategy of introducing so-called spurion fields is not new. In the context of supersymmetry it has been used, for instance in [68][69][70], to derive nonrenormalization theorems and even exact results. Another option is to not restrict the spurion superfields to constant values, in order to introduce an explicit breaking of supersymmetry [71,72].…”

Section: Duality and Holomorphymentioning

confidence: 99%

Electric-magnetic dualities in supergravity

Wit

2001

Nuclear Physics B - Proceedings Supplements

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I review electric-magnetic duality from the perspective of extended supergravity theories in four spacetime dimensions. † Invited talk given at Thirty Years of Supersymmetry, October 13 -15, 2000, Minneapolis; to be published in the proceedings. Electric-Magnetic Dualities in SupergravityBernard de Wit a a Institute for Theoretical Physics and Spinoza Institute Utrecht University, Utrecht, The Netherlands I review electric-magnetic duality from the perspective of extended supergravity theories in four spacetime dimensions.

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Section: Duality and Holomorphymentioning

confidence: 99%

Electric-magnetic dualities in supergravity

Wit

2001

Nuclear Physics B - Proceedings Supplements

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“…For m ≥ Λ there may be additional states to consider, and we are not guaranteed that vacuum rearrangements will not take place. However, we note that the arguments of Kovner and Shifman in favor of the new vacuum rely heavily on the vacuum averaging hypothesis [7] for SCI calculations.…”

Section: Discussionmentioning

confidence: 96%

“…Thus in the instanton approximation 0|Tr λ 2 |0 = 0, and one apparently has a violation of cluster decomposition. A possible resolution to this puzzle, known as the "vacuum averaging hypothesis" was proposed by Amati et al [7], within which the SCI calculation reflects an average over the vacua of the theory. This nicely explains why 0|Tr λ 2 (x) Tr λ 2 (x ′ )|0 for example is nonzero, while a direct instanton calculation of 0|Tr λ 2 |0 at strong coupling necessarily vanishes, since (for gauge group SU(2)) one obtains contributions of opposite sign from the two chirally asymmetric vacua.…”

Section: Introductionmentioning

confidence: 99%

Instantons at strong coupling, averaging over vacua, and the gluino condensate

Ritz

Vainshtein

2000

Nuclear Physics B

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We consider instanton contributions to chiral correlators, such as 0|Trλ 2 (x)Trλ 2 (x ′ )|0 , in N = 1 supersymmetric Yang-Mills theory with either light adjoint or fundamental matter. Within the former model, extraction of the gluino condensate from a connected 1-instanton diagram, evaluated at strong coupling, can be contrasted with expectations from the Seiberg-Witten solution perturbed to an N= 1 vacuum. We observe a numerical discrepancy, coinciding with that observed previously in N = 1 SQCD. Moreover, since knowledge of the vacuum structure is complete for softly broken N = 2 YangMills, this model serves as a counterexample to the hypothesis of Amati et al. that 1-instanton calculations at strong coupling can be interpreted as averaging over vacua. Within N= 1 SQCD, we point out that the connected contribution to the relevant correlators actually vanishes in the weakly coupled Higgs phase, despite having a nonzero value through infra-red effects when calculated in the unbroken phase.

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“…In contrast, perturbative calculations in field theory are typically ignorant about the vacuum state. For example, an argument as to why a direct perturbative calculation of the gaugino condensate yields zero is that the perturbative analysis averages over all vacua [42,43]. We wish to confront our results with a perturbative field theory calculation and, therefore, we must average over all inequivalent vacua, which can be equivalently expressed as the following change of renormalization scheme, 6 τ → τ + i N 2π It is interesting to observe that, in this renormalization scheme, the coupling (5.5) does not diverge for ρ = c = 0, in contrast to the exact coupling (4.12).…”

Section: Beta Functionmentioning

confidence: 99%

Perturbative and non-perturbative aspects of pure Script N = 1 super Yang-Mills theory from wrapped branes

Mück

2003

J. High Energy Phys.

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The Maldacena-Nuñez solution is generalized to include a number of integration constants, one of which controls the resolution of the singularity of the wrapped D5-brane background. Some features of the dual pure N = 1 super Yang-Mills (SYM) theory are calculated, amongst which the gluino condensate, the beta function of the gauge coupling and a brane probe potential, which is related to the Veneziano-Yankielowicz effective potential. Each integration constant has a precise meaning in the dual SYM theory, e.g., the amount of non-perturbative SYM physics captured by the gravity configuration is described by the singularity resolution parameter.

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Non-perturbative aspects in supersymmetric gauge theories

Cited by 390 publications

References 94 publications

Electric-magnetic dualities in supergravity

Electric-magnetic dualities in supergravity

Instantons at strong coupling, averaging over vacua, and the gluino condensate

Perturbative and non-perturbative aspects of pure Script N = 1 super Yang-Mills theory from wrapped branes

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