Two-point correlators in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories

Abstract We study the two-point correlation functions of chiral/anti-chiral operators in N $$ \mathcal{N} $$ = 2 supersymmetric Yang-Mills theories on ℝ $$ \mathbb{R} $$ 4 with gauge group SU(N) and N f massless hypermultiplets in the fundamental representation. We compute them in perturbation theor...

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Main Authors: M. Billò, F. Fucito, G. P. Korchemsky, A. Lerda, J. F. Morales
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP05(2019)199
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author M. Billò
F. Fucito
G. P. Korchemsky
A. Lerda
J. F. Morales
author_facet M. Billò
F. Fucito
G. P. Korchemsky
A. Lerda
J. F. Morales
author_sort M. Billò
collection DOAJ
description Abstract We study the two-point correlation functions of chiral/anti-chiral operators in N $$ \mathcal{N} $$ = 2 supersymmetric Yang-Mills theories on ℝ $$ \mathbb{R} $$ 4 with gauge group SU(N) and N f massless hypermultiplets in the fundamental representation. We compute them in perturbation theory, using dimensional regularization up to two loops, and show that field-theory observables built out of dimensionless ratios of two-point renormalized correlators on ℝ $$ \mathbb{R} $$ 4 are in perfect agreement with the same quantities computed using localization on the four-sphere, even in the non-conformal case N f ≠ 2N.
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spelling doaj.art-3a793c87a70f4b1f8b6cdfbb565a6d102022-12-21T22:40:04ZengSpringerOpenJournal of High Energy Physics1029-84792019-05-012019515610.1007/JHEP05(2019)199Two-point correlators in non-conformal N $$ \mathcal{N} $$ = 2 gauge theoriesM. Billò0F. Fucito1G. P. Korchemsky2A. Lerda3J. F. Morales4Università di Torino, Dipartimento di Fisica and INFN — sezione di TorinoINFN — sezione di Roma Tor VergataInstitut de Physique Théorique (Unité Mixte de Recherche 3681 du CNRS), Université Paris Saclay, CNRS, CEAUniversità del Piemonte Orientale, Dipartimento di Scienze e Innovazione Tecnologica and INFN — sezione di TorinoINFN — sezione di Roma Tor VergataAbstract We study the two-point correlation functions of chiral/anti-chiral operators in N $$ \mathcal{N} $$ = 2 supersymmetric Yang-Mills theories on ℝ $$ \mathbb{R} $$ 4 with gauge group SU(N) and N f massless hypermultiplets in the fundamental representation. We compute them in perturbation theory, using dimensional regularization up to two loops, and show that field-theory observables built out of dimensionless ratios of two-point renormalized correlators on ℝ $$ \mathbb{R} $$ 4 are in perfect agreement with the same quantities computed using localization on the four-sphere, even in the non-conformal case N f ≠ 2N.http://link.springer.com/article/10.1007/JHEP05(2019)199Supersymmetric Gauge TheoryMatrix Models
spellingShingle M. Billò
F. Fucito
G. P. Korchemsky
A. Lerda
J. F. Morales
Two-point correlators in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories
Journal of High Energy Physics
Supersymmetric Gauge Theory
Matrix Models
title Two-point correlators in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories
title_full Two-point correlators in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories
title_fullStr Two-point correlators in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories
title_full_unstemmed Two-point correlators in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories
title_short Two-point correlators in non-conformal N $$ \mathcal{N} $$ = 2 gauge theories
title_sort two point correlators in non conformal n mathcal n 2 gauge theories
topic Supersymmetric Gauge Theory
Matrix Models
url http://link.springer.com/article/10.1007/JHEP05(2019)199
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AT ffucito twopointcorrelatorsinnonconformalnmathcaln2gaugetheories
AT gpkorchemsky twopointcorrelatorsinnonconformalnmathcaln2gaugetheories
AT alerda twopointcorrelatorsinnonconformalnmathcaln2gaugetheories
AT jfmorales twopointcorrelatorsinnonconformalnmathcaln2gaugetheories