7 research outputs found
Spontaneous breaking of superconformal invariance in (2+1)D supersymmetric Chern-Simons-matter theories in the large N limit
In this work it is studied the spontaneous breaking of superconformal and
gauge invariances in the Abelian N=1,2 three-dimensional supersymmetric
Chern-Simons-matter theories in a large N limit. It is computed the K\"ahlerian
effective superpotential at subleading order and shown that the
Coleman-Weinberg mechanism is the responsible for the dynamical generation of a
mass scale in the N=1 model. This effect appears due to two-loop diagrams that
are logarithmic divergent. In particular, the Coleman-Weinberg mechanism fails
when we lift the N=1 to N=2 Supersymmetric Chern-Simons-Matter model, like what
happens in a perturbative expansion in the coupling constants.Comment: 10 pages, 2 figures, PLB versio
Equivalence between supersymmetric self-dual and Maxwell-Chern-Simons models coupled to a matter spinor superfield
We study the duality of the supersymmetric self-dual and Maxwell-Chern-Simons
theories coupled to a fermionic matter superfield, using a master action. This
approach evades the difficulties inherent to the quartic couplings that appear
when matter is represented by a scalar superfield. The price is that the
spinorial matter superfield represents a unusual supersymmetric multiplet,
whose main physical properties we also discuss.Comment: v2, 16 pages, elsarticle.cls, accepted for publication in PL
Two-loop corrections to the Carroll-Field-Jackiw term in a CPT-odd Lorentz-violating scalar QED
In this study, we systematically calculate one-loop corrections to the Lorentz-violating vertices within the framework of CPT-odd Quantum Electrodynamics, encompassing scalar and photon fields in arbitrary gauge. Additionally, we ascertain the finite two-loop corrections to the Carroll-Field-Jackiw term. Furthermore, we analyze the UV divergent component of the two-loop Lorentz-violating correction in the self-energy of the scalar field
Gauge invariance and the CPT and Lorentz violating induced ChernâSimons-like term in extended QED
Abstract The radiative induction of the CPT and Lorentz violating ChernâSimons (CS) term is reassessed. The massless and massive models are studied. Special attention is given to the preservation of gauge symmetry at higher orders in the background vector b ” when radiative corrections are considered. Both the study of the odd and even parity sectors of the complete vacuum polarization tensor at one-loop order and a non-perturbative analysis show that this symmetry must be preserved by quantum corrections. As a complement we obtain the result that transversality of the polarization tensor does not fix the value of the coefficient of the induced CS term