Instanton calculations versus exact results in four dimensional SUSY gauge theories

Finnell, D.; Pouliot, Philippe

doi:10.1016/0550-3213(95)00318-m

Cited by 163 publications

(271 citation statements)

References 40 publications

(79 reference statements)

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“…which exactly coincides with the first two instanton contributions as derived from the Seiberg-Witten curve [6,16,17]. After adding the perturbative piece 2πi τ 0 − 4 log 4a 2 Λ 2 , we can therefore conclude that the full dilaton-axion profile sourced by an O7 plane plus its D-instantons completely agrees with the exact coupling of the pure SU(2) N = 2 SYM theory in d = 4.…”

Section: The Pure Su(2) Theorysupporting

confidence: 77%

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Non‐perturbative gauge couplings from holography

Billó¹,

Frau²,

Giacone³

et al. 2012

Fortschritte der Physik

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Section: The Pure Su(2) Theorysupporting

confidence: 77%

“…The rest of the derivation remains as before. In particular eq.s (12) and (15) are well-defined even in the absence of the D7's, and thus formulas like (16) …”

Section: The Pure Su(2) Theorymentioning

confidence: 99%

Non‐perturbative gauge couplings from holography

Billó¹,

Frau²,

Giacone³

et al. 2012

Fortschritte der Physik

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“…Therefore, as noted in the weak coupling regime [20,23,24]. Furthermore, a gauge invariant definition of a is given by the (complex) mass of W boson supermultiplet, whose vanishing would imply restoration of SU(2).…”

Section: The Scalar Potentialmentioning

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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“…Note that in the fully quantum formula (39) the magnetic and electric charges appear symmetrically. Indeed the mass formula is invariant under the generalized duality transformations (35), modulo appropriate relabeling of magnetic and electric charges.…”

Section: Seiberg-witten Solution Of Pure N = 2 Yang-millsmentioning

confidence: 99%

“…Indeed, the SeibergWitten curves have been checked against direct instanton calculations [35], and more recently, have been rederived by an explicit instanton resummation [36].…”

Section: Seiberg-witten Solution Of Pure N = 2 Yang-millsmentioning

confidence: 99%

The Magnetic Monopoles Seventy-five Years Later

Konishi

Lecture Notes in Physics

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Non-Abelian monopoles are present in the fully quantum mechanical low-energy effective action of many solvable supersymmetric theories. They behave perfectly as pointlike particles carrying non-Abelian dual magnetic charges. They play a crucial role in confinement and in dynamical symmetry breaking in these theories. There is a natural identification of these excitations within the semiclassical approach, which involves the flavor symmetry in an essential manner. We review, in an introductory fashion, the recent development which has led to a better understanding of the nature of non-Abelian monopoles and of their role in confinement and dynamical symmetry breaking in strongly interacting theories.

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Instanton calculations versus exact results in four dimensional SUSY gauge theories

Cited by 163 publications

References 40 publications

Non‐perturbative gauge couplings from holography

Non‐perturbative gauge couplings from holography

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

The Magnetic Monopoles Seventy-five Years Later

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