Nonperturbative Renormalization of Operators in Near-Conformal Systems Using Gradient Flows

Carosso, Andrea; Hasenfratz, Anna; Neil, Ethan T.

doi:10.1103/PhysRevLett.121.201601

Title: Nonperturbative Renormalization of Operators in Near-Conformal Systems Using Gradient Flows

Journal Article · Wed Nov 14 00:00:00 EST 2018 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.121.201601· OSTI ID:1482154

Carosso, Andrea; Hasenfratz, Anna; Neil, Ethan T.

We propose a continuous real space renormalization group transformation based on gradient flow, allowing for a numerical study of renormalization without the need for costly ensemble matching. We apply our technique in a pilot study of SU(3) gauge theory with $N_{f} = 12$ fermions in the fundamental representation, finding the mass anomalous dimension to be $γ_{m} = 0.23 (6)$ , consistent with other perturbative and lattice estimates. We also present the first lattice calculation of the nucleon anomalous dimension in this theory, finding $γ_{N} = 0.05 (5)$

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Research Organization:: Univ. of Colorado, Boulder, CO (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0010005; SC0012704

OSTI ID:: 1482154

Alternate ID(s):: OSTI ID: 1607690

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Vol. 121 Journal Issue: 20; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 21 works

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Study of center and chiral symmetry realization in thermal $N = 1$ super Yang-Mills theory using the gradient flow Bergner, Georg; López, Camilo; Piemonte, Stefano Physical Review D, Vol. 100, Issue 7 https://doi.org/10.1103/physrevd.100.074501	journal	October 2019
Lattice gauge theory for physics beyond the Standard Model Brower, Richard C.; Hasenfratz, Anna; Neil, Ethan T. The European Physical Journal A, Vol. 55, Issue 11 https://doi.org/10.1140/epja/i2019-12901-5	journal	November 2019

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