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

被引：1

作者：

Bergner, G. ^{[1
]}

Costa, M. ^{[2
,3
]}

Panagopoulos, H. ^{[2
]}

Piemonte, S. ^{[4
]}

Calero, I. Soler ^{[1
]}

Spanoudes, G. ^{[5
]}

机构：

[1] Univ Jena, Inst Theoret Phys, Max Wien Pl 1, D-07743 Jena, Germany

[2] Univ Cyprus, Dept Phys, POB 20537, CY-1678 Nicosia, Cyprus

[3] Cyprus Univ Technol, Dept Chem Engn, 30 Archbishop Kyprianou St, CY-3036 Limassol, Cyprus

[4] Univ Regensburg, Inst Theoret Phys, Univ Str 31, D-93040 Regensburg, Germany

[5] Cyprus Inst, Computat Based Sci & Technol Res Ctr, 20 Constantinou Kavafi St, CY-2121 Nicosia, Cyprus

来源：

PHYSICAL REVIEW D | 2023年 / 107卷 / 03期

基金：

欧盟地平线“2020”;

关键词：

CONTINUUM-LIMIT; LATTICE; SPACE;

D O I：

10.1103/PhysRevD.107.034502

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页数：15

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