The 1/2 BPS Wilson loop in ABJ(M) at two loops: the details

被引：32

作者：

Bianchi, Marco S. ^{[1
]}

Giribet, Gaston ^{[2
,3
]}

Leoni, Matias ^{[2
,3
]}

Penati, Silvia ^{[4
,5
]}

机构：

[1] Univ Berlin, Inst Phys, Newtonstr 15, D-12489 Berlin, Germany

[2] UBA, Dept Phys, FCEyN, RA-1428 Buenos Aires, DF, Argentina

[3] Univ Buenos Aires, IFIBA, CONICET, RA-1428 Buenos Aires, DF, Argentina

[4] Univ Milano Bicocca, Dipartimento Fis, I-20126 Milan, Italy

[5] Ist Nazl Fis Nucl, Sez Milano Bicocca, I-20126 Milan, Italy

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2013年 / 10期

关键词：

Wilson; 't Hooft and Polyakov loops; Chern-Simons Theories; Matrix Models; SUPERSYMMETRIC DIMENSIONAL REGULARIZATION; CHERN-SIMONS THEORY; YANG-MILLS THEORY;

D O I：

10.1007/JHEP10(2013)085

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We compute the expectation value of the 1/2 BPS circular Wilson loop operator in ABJ(M) theory at two loops in perturbation theory. Our result turns out to be in exact agreement with the weak coupling limit of the prediction coming from localization, including finite N contributions associated to non-planar diagrams. It also confirms the identification of the correct framing factor that connects framing-zero and framing-one expressions, previously proposed. The evaluation of the 1/2 BPS operator is made technically difficult in comparison with other observables of ABJ(M) theory by the appearance of integrals involving the coupling between fermions and gauge fields, which are absent for instance in the 1/6 BPS case. We describe in detail how to analytically solve these integrals in dimensional regularization with dimensional reduction (DRED). By suitably performing the physical limit to three dimensions we clarify the role played by short distance divergences on the final result and the mechanism of their cancellation.

引用

页数：45

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