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Main Authors: Lehum, A. C., Nascimento, J. R., Neto, A. C. Pina, Petrov, A. Yu.
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2503.19575
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_version_ 1866916785507270656
author Lehum, A. C.
Nascimento, J. R.
Neto, A. C. Pina
Petrov, A. Yu.
author_facet Lehum, A. C.
Nascimento, J. R.
Neto, A. C. Pina
Petrov, A. Yu.
contents We perform the study of perturbative aspects of a three-dimensional supersymmetric Maxwell-Chern-Simons-Proca theory minimally coupled to scalar superfields. Using the superfield formalism, we derive the propagators for both gauge and matter superfields and compute the leading quantum corrections to the effective action. The presence of the Proca-like term explicitly breaks gauge invariance, modifying the structure of the gauge superfield propagator and leading to an essentially new form of quantum contributions in comparison with the usual QED. We analyze the Feynman diagrams that contribute to the quadratic part of the effective action, obtaining corrections to both the kinetic and mass terms of the scalar superfields. Furthermore, we discuss the UV behavior of the model, considering its renormalization properties and the possibility of perturbative finiteness to all loop orders, similar to supersymmetric QED$_3$. Finally, we highlight potential applications of this model in condensed matter systems and possible connections with modified supersymmetric electrodynamics and dualities in lower-dimensional theories.
format Preprint
id arxiv_https___arxiv_org_abs_2503_19575
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Perturbative aspects of the supersymmetric three-dimensional massive QED
Lehum, A. C.
Nascimento, J. R.
Neto, A. C. Pina
Petrov, A. Yu.
High Energy Physics - Theory
We perform the study of perturbative aspects of a three-dimensional supersymmetric Maxwell-Chern-Simons-Proca theory minimally coupled to scalar superfields. Using the superfield formalism, we derive the propagators for both gauge and matter superfields and compute the leading quantum corrections to the effective action. The presence of the Proca-like term explicitly breaks gauge invariance, modifying the structure of the gauge superfield propagator and leading to an essentially new form of quantum contributions in comparison with the usual QED. We analyze the Feynman diagrams that contribute to the quadratic part of the effective action, obtaining corrections to both the kinetic and mass terms of the scalar superfields. Furthermore, we discuss the UV behavior of the model, considering its renormalization properties and the possibility of perturbative finiteness to all loop orders, similar to supersymmetric QED$_3$. Finally, we highlight potential applications of this model in condensed matter systems and possible connections with modified supersymmetric electrodynamics and dualities in lower-dimensional theories.
title Perturbative aspects of the supersymmetric three-dimensional massive QED
topic High Energy Physics - Theory
url https://arxiv.org/abs/2503.19575