### Abstract

The next-to-leading-order nonholomorphic contribution to the Wilsonian low-energy effective action in four-dimensional N=2 gauge theories with matter is discussed. In the semiclassical approximation, it is calculated by using the manifestly N=2 supersymmetric harmonic superspace approach. This perturbative one-loop correction is found to be in agreement with the N=1 superfield calculations of de Wit, Grisaru, and Rocek. In particular, the previously unknown numerical coefficient at the nonholomorphic contribution is determined for the SU(2) gauge group. Special attention is paid to the N=2 superconformal gauge theories, whose one-loop nonholomorphic contribution can be exact, even nonperturbatively. The coefficient in front of the next-to-leading-order term turns out to be zero in the case of the N=4 super-Yang-Mills theory, while it does not vanish in the case of finite N=2 supersymmetric gauge theories with four hypermultiplets in the fundamental representation of the gauge group.

Original language | English |
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Pages (from-to) | 1277-1283 |

Number of pages | 7 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 57 |

Issue number | 2 |

Publication status | Published - 15 Jan 1998 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

**Next-to-leading-order correction to the effective action in N=2 gauge theories.** / Ketov, Sergei V.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 57, no. 2, pp. 1277-1283.

}

TY - JOUR

T1 - Next-to-leading-order correction to the effective action in N=2 gauge theories

AU - Ketov, Sergei V.

PY - 1998/1/15

Y1 - 1998/1/15

N2 - The next-to-leading-order nonholomorphic contribution to the Wilsonian low-energy effective action in four-dimensional N=2 gauge theories with matter is discussed. In the semiclassical approximation, it is calculated by using the manifestly N=2 supersymmetric harmonic superspace approach. This perturbative one-loop correction is found to be in agreement with the N=1 superfield calculations of de Wit, Grisaru, and Rocek. In particular, the previously unknown numerical coefficient at the nonholomorphic contribution is determined for the SU(2) gauge group. Special attention is paid to the N=2 superconformal gauge theories, whose one-loop nonholomorphic contribution can be exact, even nonperturbatively. The coefficient in front of the next-to-leading-order term turns out to be zero in the case of the N=4 super-Yang-Mills theory, while it does not vanish in the case of finite N=2 supersymmetric gauge theories with four hypermultiplets in the fundamental representation of the gauge group.

AB - The next-to-leading-order nonholomorphic contribution to the Wilsonian low-energy effective action in four-dimensional N=2 gauge theories with matter is discussed. In the semiclassical approximation, it is calculated by using the manifestly N=2 supersymmetric harmonic superspace approach. This perturbative one-loop correction is found to be in agreement with the N=1 superfield calculations of de Wit, Grisaru, and Rocek. In particular, the previously unknown numerical coefficient at the nonholomorphic contribution is determined for the SU(2) gauge group. Special attention is paid to the N=2 superconformal gauge theories, whose one-loop nonholomorphic contribution can be exact, even nonperturbatively. The coefficient in front of the next-to-leading-order term turns out to be zero in the case of the N=4 super-Yang-Mills theory, while it does not vanish in the case of finite N=2 supersymmetric gauge theories with four hypermultiplets in the fundamental representation of the gauge group.

UR - http://www.scopus.com/inward/record.url?scp=0001174326&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001174326&partnerID=8YFLogxK

M3 - Article

VL - 57

SP - 1277

EP - 1283

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 2

ER -