The role of field redefinition on renormalisability of a general N=12 supersymmetric gauge theories
We investigate some issues on renormalisability of non-anticommutative supersymmetric gauge theory related to field redefinitions. We study one loop corrections to N=12 supersymmetric SU(N)×U(1) gauge theory coupled to chiral matter in component formalism, and show the procedure which has been intro...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Elsevier
2015-04-01
|
Series: | Nuclear Physics B |
Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321315000607 |
_version_ | 1811256786786713600 |
---|---|
author | A.F. Kord M. Haddadi Moghaddam N. Ghasempour |
author_facet | A.F. Kord M. Haddadi Moghaddam N. Ghasempour |
author_sort | A.F. Kord |
collection | DOAJ |
description | We investigate some issues on renormalisability of non-anticommutative supersymmetric gauge theory related to field redefinitions. We study one loop corrections to N=12 supersymmetric SU(N)×U(1) gauge theory coupled to chiral matter in component formalism, and show the procedure which has been introduced for renormalisation is problematic because some terms which are needed for the renormalisability of theory are missed from the Lagrangian. In order to prove the theory is renormalisable, we redefine the gaugino and the auxiliary fields (λ,F¯), which result in a modified form of the Lagrangian in the component formalism. Then, we show the modified Lagrangian has extra terms which are necessary for renormalisability of non-anticommutative supersymmetric gauge field theories. Finally, we prove N=12 supersymmetric gauge theory is renormalisable up to one loop corrections using standard method of renormalisation; besides, it is shown the effective action is gauge invariant. |
first_indexed | 2024-04-12T17:46:33Z |
format | Article |
id | doaj.art-c60c4ab438444996958290616baac83b |
institution | Directory Open Access Journal |
issn | 0550-3213 |
language | English |
last_indexed | 2024-04-12T17:46:33Z |
publishDate | 2015-04-01 |
publisher | Elsevier |
record_format | Article |
series | Nuclear Physics B |
spelling | doaj.art-c60c4ab438444996958290616baac83b2022-12-22T03:22:39ZengElsevierNuclear Physics B0550-32132015-04-01893391407The role of field redefinition on renormalisability of a general N=12 supersymmetric gauge theoriesA.F. Kord0M. Haddadi Moghaddam1N. Ghasempour2Department of Physics, Hakim Sabzevari University (HSU), P.O. Box 397, Sabzevar, Iran; School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran; Corresponding author.Department of Physics, Hakim Sabzevari University (HSU), P.O. Box 397, Sabzevar, IranDepartment of Physics, Hakim Sabzevari University (HSU), P.O. Box 397, Sabzevar, IranWe investigate some issues on renormalisability of non-anticommutative supersymmetric gauge theory related to field redefinitions. We study one loop corrections to N=12 supersymmetric SU(N)×U(1) gauge theory coupled to chiral matter in component formalism, and show the procedure which has been introduced for renormalisation is problematic because some terms which are needed for the renormalisability of theory are missed from the Lagrangian. In order to prove the theory is renormalisable, we redefine the gaugino and the auxiliary fields (λ,F¯), which result in a modified form of the Lagrangian in the component formalism. Then, we show the modified Lagrangian has extra terms which are necessary for renormalisability of non-anticommutative supersymmetric gauge field theories. Finally, we prove N=12 supersymmetric gauge theory is renormalisable up to one loop corrections using standard method of renormalisation; besides, it is shown the effective action is gauge invariant.http://www.sciencedirect.com/science/article/pii/S0550321315000607 |
spellingShingle | A.F. Kord M. Haddadi Moghaddam N. Ghasempour The role of field redefinition on renormalisability of a general N=12 supersymmetric gauge theories Nuclear Physics B |
title | The role of field redefinition on renormalisability of a general N=12 supersymmetric gauge theories |
title_full | The role of field redefinition on renormalisability of a general N=12 supersymmetric gauge theories |
title_fullStr | The role of field redefinition on renormalisability of a general N=12 supersymmetric gauge theories |
title_full_unstemmed | The role of field redefinition on renormalisability of a general N=12 supersymmetric gauge theories |
title_short | The role of field redefinition on renormalisability of a general N=12 supersymmetric gauge theories |
title_sort | role of field redefinition on renormalisability of a general n 12 supersymmetric gauge theories |
url | http://www.sciencedirect.com/science/article/pii/S0550321315000607 |
work_keys_str_mv | AT afkord theroleoffieldredefinitiononrenormalisabilityofageneraln12supersymmetricgaugetheories AT mhaddadimoghaddam theroleoffieldredefinitiononrenormalisabilityofageneraln12supersymmetricgaugetheories AT nghasempour theroleoffieldredefinitiononrenormalisabilityofageneraln12supersymmetricgaugetheories AT afkord roleoffieldredefinitiononrenormalisabilityofageneraln12supersymmetricgaugetheories AT mhaddadimoghaddam roleoffieldredefinitiononrenormalisabilityofageneraln12supersymmetricgaugetheories AT nghasempour roleoffieldredefinitiononrenormalisabilityofageneraln12supersymmetricgaugetheories |