One-loop divergences in 6D. N = (1,0) SYM theory

被引：0

作者：

Buchbinder, I. L. ^{[1
,2
]}

Ivanov, E. A. ^{[3
]}

Merzlikin, B. S. ^{[1
,4
]}

Stepanyantz, K. V. ^{[5
]}

机构：

[1] Tomsk State Pedag Univ, Dept Theoret Phys, Tomsk 634061, Russia

[2] Natl Res Tomsk State Univ, Tomsk 634050, Russia

[3] JINR, Bogoliubov Lab Theoret Phys, Dubna 141980, Moscow Region, Russia

[4] Tomsk Polytech Univ, Dept Higher Math & Math Phys, Tomsk 634050, Russia

[5] Moscow MV Lomonosov State Univ, Dept Theoret Phys, Moscow 119991, Russia

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2017年 / 01期

基金：

俄罗斯科学基金会;

关键词：

Supersymmetric gauge theory; Extended Supersymmetry; Superspaces; YANG-MILLS THEORIES; SUPERSYMMETRIC FIELD-THEORIES; N=2 SUPERSPACE APPROACH; ENERGY EFFECTIVE ACTION; HARMONIC SUPERSPACE; GAUGE-THEORY; 6; DIMENSIONS; HYPERMULTIPLET; CONSTRUCTION;

D O I：

10.1007/JHEP01(2017)128

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 consider, in the harmonic superspace approach, the six-dimensional N = (1; 0) supersymmetric Yang-Mills gauge multiplet minimally coupled to a hypermultiplet in an arbitrary representation of the gauge group. Using the super field proper-time and background-field techniques, we compute the divergent part of the one-loop effective action depending on both the gauge multiplet and the hypermultiplet. We demonstrate that in the particular case of N = (1; 1) SYM theory, which corresponds to the hypermultiplet in the adjoint representation, all one-loop divergencies vanish, so that N = (1; 1) SYM theory is one-loop finite off shell.

引用

页数：19

共 50 条

[1] One-loop divergences in the 6D, N=(1,0) abelian gauge theory
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[J]. PHYSICS LETTERS B, 2016, 763 : 375 - 381
[2] On gauge dependence of the one-loop divergences in 6D, N = (1,0) and N = (1,1) SYM theories
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[J]. PHYSICS LETTERS B, 2019, 798
[3] Gauge dependence of the one-loop divergences in 6D, N = (1,0) abelian theory
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[J]. NUCLEAR PHYSICS B, 2018, 936 : 638 - 660
[4] Supergraph analysis of the one-loop divergences in 6D, N = (1,0) and N = (1,1) gauge theories
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[J]. NUCLEAR PHYSICS B, 2017, 921 : 127 - 158
[5] One-Loop Divergences in the Six-Dimensional N = (1,0) Supersymmetric Yang-Mills Theory
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[J]. PHYSICS OF PARTICLES AND NUCLEI, 2018, 49 (05) : 943 - 945
[6] Supergraph calculation of one-loop divergences in higher-derivative 6D SYM theory
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[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2020, 2020 (08)
[7] Supergraph calculation of one-loop divergences in higher-derivative 6D SYM theory
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[8] One-loop divergences in the six-dimensional N = (1,0) hypermultiplet self-coupling model
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[J]. PHYSICAL REVIEW D, 2021, 104 (10)
[9] Gauge-Dependent One-Loop Divergences in the Six-Dimensional N = (1,1) SYM Theory
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[10] On the two-loop divergences in 6D, N = (1,1) SYM theory
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