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Published January 2018 | Submitted + Published
Journal Article Open

Two-point correlators in N = 2 gauge theories

Abstract

We consider two-point correlators in SU(N) gauge theories on R^4 with N = 2 supersymmetry and N_f massless hypermultiplets in the fundamental representation. Using localization on S_4, we compute the leading perturbative corrections to the two-point functions of chiral/anti-chiral operators made of scalar fields. The results are compared at two and three loops against direct field theory computations for some special operators whose correlators remain finite in perturbation theory at the specific loop order. In the conformal case, the match is shown up to two loops for a generic choice of operators and for arbitrary N.

Additional Information

© 2017 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Open Access funded by SCOAP³ - Sponsoring Consortium for Open Access Publishing in Particle Physics. Received 15 August 2017, Revised 31 October 2017, Accepted 5 November 2017, Available online 11 November 2017. We would like to thank M. Baggio, Z. Komargodski, G. Korchemsky and especially M. Frau for many useful discussions. The work of M.B., A.L., F.F., J.F.M. and Ya.S.S. is partially supported by the MIUR PRIN Contract 2015MP2CX4 "Non-perturbative Aspects Of Gauge Theories And Strings". The work of C.W. is partially supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0010255.

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Published - 1-s2.0-S0550321317303619-main.pdf

Submitted - 1705.02909.pdf

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Created:
August 19, 2023
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