Harmonic Superspace Approach to the Effective Action in Six-Dimensional Supersymmetric Gauge Theories; Symmetry; Vol. 11, iss. 1

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Parent link:Symmetry
Vol. 11, iss. 1.— 2018.— [68,28 p.]
Korporativní autor: Национальный исследовательский Томский политехнический университет Инженерная школа неразрушающего контроля и безопасности Отделение электронной инженерии
Další autoři: Bukhbinder I. L. Iosif Lvovich, Ivanov E. A. Evgenyi, Merzlikin B. S. Boris Sergeevich, Stepanjyants K. V. Konstantin Viktorovich
Shrnutí:Title screen
We review the recent progress in studying the quantum structure of 6D , N=(1,0) , and N=(1,1) supersymmetric gauge theories formulated through unconstrained harmonic superfields. The harmonic superfield approach allows one to carry out the quantization and calculations of the quantum corrections in a manifestly N=(1,0) supersymmetric way. The quantum effective action is constructed with the help of the background field method that secures the manifest gauge invariance of the results. Although the theories under consideration are not renormalizable, the extended supersymmetry essentially improves the ultraviolet behavior of the lowest-order loops. The N=(1,1) supersymmetric Yang–Mills theory turns out to be finite in the one-loop approximation in the minimal gauge. Furthermore, some two-loop divergences are shown to be absent in this theory. Analysis of the divergences is performed both in terms of harmonic supergraphs and by the manifestly gauge covariant superfield proper-time method. The finite one-loop leading low-energy effective action is calculated and analyzed. Furthermore, in the Abelian case, we discuss the gauge dependence of the quantum corrections and present its precise form for the one-loop divergent part of the effective action.
Jazyk:angličtina
Vydáno: 2018
Témata:
On-line přístup:https://doi.org/10.3390/sym11010068
Médium: Elektronický zdroj Kapitola
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=659956

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200 1 |a Harmonic Superspace Approach to the Effective Action in Six-Dimensional Supersymmetric Gauge Theories  |f I. L. Bukhbinder [et al.] 
203 |a Text  |c electronic 
300 |a Title screen 
320 |a [References: 77 tit.] 
330 |a We review the recent progress in studying the quantum structure of 6D , N=(1,0) , and N=(1,1) supersymmetric gauge theories formulated through unconstrained harmonic superfields. The harmonic superfield approach allows one to carry out the quantization and calculations of the quantum corrections in a manifestly N=(1,0) supersymmetric way. The quantum effective action is constructed with the help of the background field method that secures the manifest gauge invariance of the results. Although the theories under consideration are not renormalizable, the extended supersymmetry essentially improves the ultraviolet behavior of the lowest-order loops. The N=(1,1) supersymmetric Yang–Mills theory turns out to be finite in the one-loop approximation in the minimal gauge. Furthermore, some two-loop divergences are shown to be absent in this theory. Analysis of the divergences is performed both in terms of harmonic supergraphs and by the manifestly gauge covariant superfield proper-time method. The finite one-loop leading low-energy effective action is calculated and analyzed. Furthermore, in the Abelian case, we discuss the gauge dependence of the quantum corrections and present its precise form for the one-loop divergent part of the effective action. 
461 |t Symmetry 
463 |t Vol. 11, iss. 1  |v [68,28 p.]  |d 2018 
610 1 |a электронный ресурс 
610 1 |a труды учёных ТПУ 
610 1 |a supersymmetry 
610 1 |a harmonic superspace 
610 1 |a quantum corrections 
610 1 |a effective action 
610 1 |a суперсимметрии 
610 1 |a суперпространство 
610 1 |a квантовые поправки 
610 1 |a эффективное действие 
701 1 |a Bukhbinder  |b I. L.  |g Iosif Lvovich 
701 1 |a Ivanov  |b E. A.  |g Evgenyi 
701 1 |a Merzlikin  |b B. S.  |c mathematician  |c research engineer, Senior Lecturer of Tomsk Polytechnic University, candidate of physico-mathematical Sciences  |f 1987-  |g Boris Sergeevich  |3 (RuTPU)RU\TPU\pers\30925  |9 15163 
701 1 |a Stepanjyants  |b K. V.  |g Konstantin Viktorovich 
712 0 2 |a Национальный исследовательский Томский политехнический университет  |b Инженерная школа неразрушающего контроля и безопасности  |b Отделение электронной инженерии  |3 (RuTPU)RU\TPU\col\23507 
801 2 |a RU  |b 63413507  |c 20190409  |g RCR 
856 4 |u https://doi.org/10.3390/sym11010068 
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