Nonperturbative renormalization of the supercurrent in N=1 supersymmetric Yang-Mills theory

Bergner, G. and Costa, M. and Panagopoulos, H. and Piemonte, S. and Calero, I. Soler and Spanoudes, G. (2023) Nonperturbative renormalization of the supercurrent in N=1 supersymmetric Yang-Mills theory. PHYSICAL REVIEW D, 107 (3): 034502. ISSN 2470-0010, 2470-0029

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Abstract

In this work, we study the nonperturbative renormalization of the supercurrent operator in N = 1 supersymmetric Yang-Mills theory, using a gauge-invariant renormalization scheme (GIRS). The proposed prescription addresses successfully the unwanted mixing of the supercurrent with other operators of equal or lower dimension, which respect the same global symmetries. This mixing is introduced by the unavoidable breaking of supersymmetry on the lattice. In GIRS all gauge-noninvariant operators, which mix with the supercurrent, are excluded from the renormalization procedure. The one remaining mixing operator is accessible by numerical simulations. We present results for the renormalization of the supercurrent using GIRS. We also compute at one-loop order the conversion matrix which relates the nonperturbative renormalization factors in GIRS to the reference scheme MS.

Item Type: Article
Uncontrolled Keywords: CONTINUUM-LIMIT; LATTICE; SPACE;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 23 Mar 2024 11:55
Last Modified: 23 Mar 2024 11:55
URI: https://pred.uni-regensburg.de/id/eprint/60439

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