Supercurrent anomaly and gauge invariance in the N=1 supersymmetric Yang-Mills theory

被引:6
|
作者
Batista, Y. R. [1 ]
Hiller, Brigitte [2 ]
Cherchiglia, Adriano [3 ]
Sampaio, Marcos [3 ]
机构
[1] Univ Fed Minas Gerais, ICEx, Dep Fis, Av Antonio Carlos 6627, BR-31270901 Belo Horizonte, MG, Brazil
[2] Univ Coimbra, Dept Phys, CFisUC, P-3004516 Coimbra, Portugal
[3] Univ Fed Abc, CCNH, Campus Santo Andre,Ave Estados 5001, BR-09210580 Santo Andre, SP, Brazil
基金
巴西圣保罗研究基金会;
关键词
ONE-LOOP ORDER; IMPLICIT REGULARIZATION; DIMENSIONAL REGULARIZATION; WARD IDENTITIES; RENORMALIZATION; SYMMETRY; AMBIGUITIES; CONSISTENCY; DIVERGENCE; DERIVATION;
D O I
10.1103/PhysRevD.98.025018
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We analyze Feynman diagram calculational issues related to the quantum breaking of supercurrent conservation in a supersymmetric non-Abelian Yang-Mills theory. For the sake of simplicity, we take a zero mass gauge field multiplet interacting with a massless Majorana spin-1/2 field in the adjoint representation of SU(2). We shed light on a long-standing controversy regarding the perturbative evaluation of the supercurrent anomaly in connection with gauge and superconformal symmetry in different frameworks. We find that only superconformal symmetry is unambiguously broken using an invariant four dimensional regularization and compare with the triangle AVV anomaly. Subtleties related to momentum routing invariance in the loops of diagrams and Clifford algebra evaluation inside divergent integrals are also discussed in connection with finite and undetermined quantities in Feynman amplitudes.
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页数:16
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