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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Format: | Article |
Language: | English |
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SpringerOpen
2019-05-01
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Series: | Journal of High Energy Physics |
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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. |
first_indexed | 2024-12-16T07:04:51Z |
format | Article |
id | doaj.art-3a793c87a70f4b1f8b6cdfbb565a6d10 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-16T07:04:51Z |
publishDate | 2019-05-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
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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