Higher derivative terms in the effective action of N = 2 SUSY QCD from instantons

Alexei Yung

doi:10.1016/S0550-3213(97)00673-1

Higher derivative terms in the effective action of N = 2 SUSY QCD from instantons

Alexei Yung

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We consider N = 2 SUSY QCD with gauge group SU(2) and N_f flavours of matter with non-zero mass. Using the method of the instanton-induced effective vertex we calculate higher derivative corrections to the Seiberg-Witten result in the momentum expansion of the low energy effective Lagrangian in various regions of the modular space. Then we focus on a certain higher derivative operator on the Higgs branch. We show that the singular behaviour of this operator comes from values of the mass of matter at which the charge singularity on the Coulomb branch collides with the monopole or dyon singularity. Given the behaviour of this operator at weak coupling coming from instantons as well as its behaviour near the points of colliding singularities we find the exact solution for this operator.

Original language	English (US)
Pages (from-to)	79-102
Number of pages	24
Journal	Nuclear Physics B
Volume	512
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(97)00673-1
State	Published - Feb 16 1998
Externally published	Yes

Bibliographical note

Funding Information:
The author is grateful to M. Grisaru, T. Eguchi, I. Sachs, M. Shifinan, A. Schwimmer and A. Vainshtein for helpful discussions and to the organizers of the program "Non-perturbative aspects of Quantum Field Theory" at the Isaac Newton Institute, Cambridge, where this work was finished, for hospitality. This work is supported by the Russian Foundation for Fundamental Studies under Grant No. 96-02-18030.

Keywords

Instanton
Particle physics
Seiberg-Witten theory
Supersymmetry

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title = "Higher derivative terms in the effective action of N = 2 SUSY QCD from instantons",

abstract = "We consider N = 2 SUSY QCD with gauge group SU(2) and Nf flavours of matter with non-zero mass. Using the method of the instanton-induced effective vertex we calculate higher derivative corrections to the Seiberg-Witten result in the momentum expansion of the low energy effective Lagrangian in various regions of the modular space. Then we focus on a certain higher derivative operator on the Higgs branch. We show that the singular behaviour of this operator comes from values of the mass of matter at which the charge singularity on the Coulomb branch collides with the monopole or dyon singularity. Given the behaviour of this operator at weak coupling coming from instantons as well as its behaviour near the points of colliding singularities we find the exact solution for this operator.",

keywords = "Instanton, Particle physics, Seiberg-Witten theory, Supersymmetry",

author = "Alexei Yung",

note = "Funding Information: The author is grateful to M. Grisaru, T. Eguchi, I. Sachs, M. Shifinan, A. Schwimmer and A. Vainshtein for helpful discussions and to the organizers of the program {"}Non-perturbative aspects of Quantum Field Theory{"} at the Isaac Newton Institute, Cambridge, where this work was finished, for hospitality. This work is supported by the Russian Foundation for Fundamental Studies under Grant No. 96-02-18030.",

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T1 - Higher derivative terms in the effective action of N = 2 SUSY QCD from instantons

AU - Yung, Alexei

N1 - Funding Information: The author is grateful to M. Grisaru, T. Eguchi, I. Sachs, M. Shifinan, A. Schwimmer and A. Vainshtein for helpful discussions and to the organizers of the program "Non-perturbative aspects of Quantum Field Theory" at the Isaac Newton Institute, Cambridge, where this work was finished, for hospitality. This work is supported by the Russian Foundation for Fundamental Studies under Grant No. 96-02-18030.

PY - 1998/2/16

Y1 - 1998/2/16

N2 - We consider N = 2 SUSY QCD with gauge group SU(2) and Nf flavours of matter with non-zero mass. Using the method of the instanton-induced effective vertex we calculate higher derivative corrections to the Seiberg-Witten result in the momentum expansion of the low energy effective Lagrangian in various regions of the modular space. Then we focus on a certain higher derivative operator on the Higgs branch. We show that the singular behaviour of this operator comes from values of the mass of matter at which the charge singularity on the Coulomb branch collides with the monopole or dyon singularity. Given the behaviour of this operator at weak coupling coming from instantons as well as its behaviour near the points of colliding singularities we find the exact solution for this operator.

AB - We consider N = 2 SUSY QCD with gauge group SU(2) and Nf flavours of matter with non-zero mass. Using the method of the instanton-induced effective vertex we calculate higher derivative corrections to the Seiberg-Witten result in the momentum expansion of the low energy effective Lagrangian in various regions of the modular space. Then we focus on a certain higher derivative operator on the Higgs branch. We show that the singular behaviour of this operator comes from values of the mass of matter at which the charge singularity on the Coulomb branch collides with the monopole or dyon singularity. Given the behaviour of this operator at weak coupling coming from instantons as well as its behaviour near the points of colliding singularities we find the exact solution for this operator.

KW - Instanton

KW - Particle physics

KW - Seiberg-Witten theory

KW - Supersymmetry

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EP - 102

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-2

ER -

Higher derivative terms in the effective action of N = 2 SUSY QCD from instantons

Abstract

Bibliographical note

Keywords

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