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We present the scalar field effective potential for nonrelativistic self-interacting scalar and fermion fields coupled to an Abelian Chern-Simons gauge field. Fermions are non-minimally coupled to the gauge field via a Pauli interaction.…

High Energy Physics - Theory · Physics 2009-10-22 D. Caenepeel , F. Gingras , M. Leblanc , D. G. C. McKeon

We present the effective potential for nonrelativistic matter coupled to non-Abelian Chern-Simons gauge fields. We perform the calculation using a functional method in constant background fields to satisfy Gauss's law and to simplify the…

High Energy Physics - Theory · Physics 2011-07-19 D. Caenepeel , M. Leblanc

The three-dimensional Abelian Chern-Simons theory coupled to a scalar and a fermionic field of arbitrary charge is considered in order to study conformal symmetry breakdown and the effective potential stability. We present an improved…

High Energy Physics - Theory · Physics 2014-11-21 A. G. Dias , A. F. Ferrari

We develop a superfield approach to the effective potential in the supersymmetric Chern-Simons theory coupled to matter, and, in Landau gauge, calculate the one-loop Kahlerian effective potential and give some qualitative prescriptions for…

High Energy Physics - Theory · Physics 2013-05-30 M. Gomes , A. C. Lehum , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

We study the nonrelativistic limit of the quantum theory of a Chern-Simons field minimally coupled to a scalar field with quartic self-interaction. The renormalization of the relativistic model, in the Coulomb gauge, is discussed. We employ…

High Energy Physics - Theory · Physics 2014-11-18 M. Gomes , J. M. C. Malbouisson , A. J. da Silva

We investigate two-loop quantum corrections to non-minimally coupled Maxwell-Chern-Simons theory. The non-minimal gauge interaction represents the magnetic moment interaction between the charged scalar and the electromagnetic field. We show…

High Energy Physics - Theory · Physics 2009-10-31 M. E. Carrington , W. F. Chen , G. Kunstatter , J. Mottershead

We investigate the two-loop effective potential for both minimally and non-minimally coupled Maxwell-Chern-Simons theories. The non-minimal gauge interaction represents the magnetic moment interaction between a charged scalar and the…

High Energy Physics - Phenomenology · Physics 2009-11-07 D. S. Irvine , M. E. Carrington , G. Kunstatter , D. Pickering

We compute two-loop low-energy effective actions in Abelian Chern-Simons matter models with N=2 and N=3 supersymmetry up to four-derivative order. Calculations are performed with a slowly-varying gauge superfield background. Though the…

High Energy Physics - Theory · Physics 2015-06-17 I. L. Buchbinder , B. S. Merzlikin , I. B. Samsonov

In this work, we study the three-dimensional non-Abelian noncommutative supersymmetric Chern-Simons model with the U(N) gauge group. Using a superfield formulation, we prove that, for the pure gauge theory, the Green functions are one-loop…

High Energy Physics - Theory · Physics 2008-11-26 A. F. Ferrari , M. Gomes , A. Yu. Petrov , A. J. da Silva

The three dimensional N=2 supersymmetric Chern-Simons theory coupled to matter fields, possibly deformed by a superpotential, give rise to a large class of exactly conformal theories with Lagrangian descriptions. These theories can be…

High Energy Physics - Theory · Physics 2011-05-05 Davide Gaiotto , Xi Yin

The renormalization of effective potential for the noncommutative scalar field theory is investigated to the two-loop approximation. It is seen that the nonplanar diagram does not appear in the one-loop potential. However, nonplanar diagram…

High Energy Physics - Theory · Physics 2009-10-31 Wung-Hong Huang

The Maxwell-Chern-Simons gauge theory with charged scalar fields is analyzed at two loop level. The effective potential for the scalar fields is derived in the closed form, and studied both analytically and numerically. It is shown that the…

High Energy Physics - Theory · Physics 2009-10-30 Pang-Ning Tan , Bayram Tekin , Yutaka Hosotani

2+1 dimensional massless scalar QED with $(\phi^*\phi)^3$ scalar self-coupling is modified by the addition of a non- minimal Chern-Simons term that couples the dual of the electromagnetic field strength to the covariant current of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. E. Carrington , G. Kunstatter

This study examines on-shell supersymmetry breaking in the Abelian $\mathcal{N}=1$ Chern-Simons-matter model within a three-dimensional spacetime. The classical Lagrangian is scale-invariant, but two-loop radiative corrections to the…

High Energy Physics - Theory · Physics 2023-05-22 A. C. Lehum

It is shown how to couple non-relativistic matter with a Chern--Simons gauge field that belongs to a non-compact group. We treat in some details the $SL(2,{\bf R})$ and the Poincar\'e $ISO(2,1)$ groups. For suitable self-interactions, we…

High Energy Physics - Theory · Physics 2009-10-22 Daniel Cangemi

Exact constant solutions of field equations in the classical nonabelian SU(2) field theory with the Chern-Simons topological mass in 2+1-dimensional space-time have been obtained. One-loop contributions of boson and fermion fluctuations to…

High Energy Physics - Theory · Physics 2007-05-23 V. Ch. Zhukovsky , N. A. Peskov

We apply a soft version of the BPHZ subtraction scheme to the computation of two-loop corrections from an Abelian Chern-Simons field coupled to (massive) scalar matter with a $\lambda(\Phi^\dag\Phi)^2$ and $\nu(\Phi^\dag\Phi)^3$…

High Energy Physics - Theory · Physics 2009-10-31 L. C. de Albuquerque , M. Gomes , A. J. da Silva

Subject of this work is a class of Chern-Simons field theories with non-semisimple gauge group, which may well be considered as the most straightforward generalization of an Abelian Chern-Simons field theory. As a matter of fact these…

High Energy Physics - Theory · Physics 2014-11-18 Franco Ferrari

We formulate a generic three-dimensional superfield higher-derivative gauge theory coupled to the matter, which, in certain cases reduces to the three-dimensional scalar super-QED, or supersymmetric Maxwell-Chern-Simons or Chern-Simons…

High Energy Physics - Theory · Physics 2013-08-29 F. S. Gama , J. R. Nascimento , A. Yu. Petrov

We study a noncommutative nonrelativistic theory in 2+1 dimensions of a scalar field coupled to the Chern-Simons field. In the commutative situation this model has been used to simulate the Aharonov-Bohm effect in the field theory context.…

High Energy Physics - Theory · Physics 2014-11-18 M. A. Anacleto , M. Gomes , A. J. da Silva , D. Spehler
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