Radiatively induced breaking of conformal symmetry in a superpotential

Radiatively induced symmetry breaking is considered for a toy model with one scalar and one fermion field unified in a superfield. It is shown that the classical quartic self-interaction of the superfield possesses a quantum infrared singularity. Application of the Coleman-Weinberg mechanism for eff...

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Autores principales: Arbuzov, A.B., Cirilo-Lombardo, D.J.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03702693_v758_n_p125_Arbuzov
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spelling todo:paper_03702693_v758_n_p125_Arbuzov2023-10-03T15:29:45Z Radiatively induced breaking of conformal symmetry in a superpotential Arbuzov, A.B. Cirilo-Lombardo, D.J. Conformal symmetry Radiative symmetry breaking Supersymmetry Radiatively induced symmetry breaking is considered for a toy model with one scalar and one fermion field unified in a superfield. It is shown that the classical quartic self-interaction of the superfield possesses a quantum infrared singularity. Application of the Coleman-Weinberg mechanism for effective potential leads to the appearance of condensates and masses for both scalar and fermion components. That induces a spontaneous breaking of the initial classical symmetries: the supersymmetry and the conformal one. The energy scales for the scalar and fermion condensates appear to be of the same order, while the renormalization scale is many orders of magnitude higher. A possibility to relate the considered toy model to conformal symmetry breaking in the Standard Model is discussed. © 2016 The Authors. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03702693_v758_n_p125_Arbuzov
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Conformal symmetry
Radiative symmetry breaking
Supersymmetry
spellingShingle Conformal symmetry
Radiative symmetry breaking
Supersymmetry
Arbuzov, A.B.
Cirilo-Lombardo, D.J.
Radiatively induced breaking of conformal symmetry in a superpotential
topic_facet Conformal symmetry
Radiative symmetry breaking
Supersymmetry
description Radiatively induced symmetry breaking is considered for a toy model with one scalar and one fermion field unified in a superfield. It is shown that the classical quartic self-interaction of the superfield possesses a quantum infrared singularity. Application of the Coleman-Weinberg mechanism for effective potential leads to the appearance of condensates and masses for both scalar and fermion components. That induces a spontaneous breaking of the initial classical symmetries: the supersymmetry and the conformal one. The energy scales for the scalar and fermion condensates appear to be of the same order, while the renormalization scale is many orders of magnitude higher. A possibility to relate the considered toy model to conformal symmetry breaking in the Standard Model is discussed. © 2016 The Authors.
format JOUR
author Arbuzov, A.B.
Cirilo-Lombardo, D.J.
author_facet Arbuzov, A.B.
Cirilo-Lombardo, D.J.
author_sort Arbuzov, A.B.
title Radiatively induced breaking of conformal symmetry in a superpotential
title_short Radiatively induced breaking of conformal symmetry in a superpotential
title_full Radiatively induced breaking of conformal symmetry in a superpotential
title_fullStr Radiatively induced breaking of conformal symmetry in a superpotential
title_full_unstemmed Radiatively induced breaking of conformal symmetry in a superpotential
title_sort radiatively induced breaking of conformal symmetry in a superpotential
url http://hdl.handle.net/20.500.12110/paper_03702693_v758_n_p125_Arbuzov
work_keys_str_mv AT arbuzovab radiativelyinducedbreakingofconformalsymmetryinasuperpotential
AT cirilolombardodj radiativelyinducedbreakingofconformalsymmetryinasuperpotential
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