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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 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

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

In three dimensional Maxwell-Chern-Simons massless scalar electrodynamics with $ \phi^6$ coupling, the $U(1)$ symmetry is spontaneously broken at two loop order regardless of the presence or absence of the Maxwell term. Dimensional…

High Energy Physics - Theory · Physics 2015-06-26 Pang-Ning Tan , Bayram Tekin , Yutaka Hosotani

We consider the model of a massless charged scalar field, in (2+1) dimensions, with a self interaction of the form $lambda (\phi^* \phi)^3$ and interacting with a Chern Simons field. We calculate the renormalization group $\beta$ functions…

High Energy Physics - Theory · Physics 2008-11-26 V. S. Alves , M. Gomes , S. L. V. Pinheiro , A. J. da Silva

We study an extreme non-static limit of 2+1-dimensional QED obtained by making a dimensional reduction so that all fields are spatially uniform but time dependent. This dimensional reduction leads to a 0+1-dimensional field theory that…

High Energy Physics - Theory · Physics 2009-10-31 Ashok Das , Gerald Dunne

We study the effect of a (3+1)-dimensional Chern-Simons electrodynamics on the equations governing the dynamics of magnetized plasma and fields. In this model, the Chern-Simons (CS) part consists of a dynamical pseudo-scalar field whose…

General Relativity and Quantum Cosmology · Physics 2016-06-29 Patrick Das Gupta

The catalysis of chiral symmetry breaking in the massless weakly coupled QED in a magnetic field is studied. It is shown that the effect is due to the dimensional reduction $D\to D-2$ in the dynamics of fermion pairing in a magnetic field.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Igor A. Shovkovy

The mechanism of dimensional transmutation is discussed in the context of Maxwell-Chern-Simons scalar QED. The method used is non-perturbative. The effective potential describes a broken symmetry state. It is found that the symmetry…

High Energy Physics - Theory · Physics 2015-06-26 F. S. Nogueira , N. F. Svaiter

We consider a general class of non-local MCS models whose usual minimal coupling to a conserved current is supplemented with a (non-minimal) magnetic Pauli-type coupling. We find that the considered models exhibit a self-duality whenever…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. Chandelier , Y. Georgelin , T. Masson , J. -C. Wallet

We present the one-loop scalar field effective potential for the $N=2$ supersymmetric nonrelativistic self-interacting matter fields coupled to an Abelian Chern-Simons gauge field and for its generalization when bosonic matter fields are…

High Energy Physics - Theory · Physics 2007-05-23 D. Caenepeel , M. Leblanc

The catalysis of chiral symmetry breaking by a magnetic field in the massless weak-coupling phase of QED is studied. The dynamical mass of a fermion (energy gap in the fermion spectrum) is shown to depend essentially nonanalytically on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Valery P. Gusynin

Using the nonperturbative Schwinger-Dyson equation, we show that chiral symmetry in weak-coupling massless QED is dynamically broken by a constant but arbitrarily strong external magnetic field.

High Energy Physics - Theory · Physics 2015-06-26 C. N. Leung , Y. J. Ng , A. W. Ackley

We consider massless three-dimensional $\mathcal{N}=1$ supersymmetric quantum electrodynamics (QED) with $N_f$ flavours of electrons. Within the dimensional reduction scheme, we compute the critical exponents corresponding to both the…

High Energy Physics - Theory · Physics 2023-02-15 S. Metayer , S. Teber

Antisymmetric tensor fields with chiral couplings to quarks and leptons may induce spontaneous electroweak symmetry breaking in a model without a ``fundamental'' Higgs scalar. No microscopic local mass term for the chiral tensors or…

High Energy Physics - Phenomenology · Physics 2009-11-11 C. Wetterich

The effects of an external field on the dynamics of chiral symmetry breaking are studied using quenched, ladder QED as our model gauge field theory. It is found that a uniform external magnetic field enables the chiral symmetry to be…

High Energy Physics - Theory · Physics 2009-10-31 C. N. Leung

We describe a (first, to the best of our knowledge) essentially soluble example of dynamical symmetry breaking phenomenon in a 3+1 dimensional gauge theory without fundamental scalar fields: QED in a constant magnetic field.

High Energy Physics - Theory · Physics 2009-10-31 V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

Using the nonperturbative Schwinger-Dyson equation, we show that chiral symmetry is dynamically broken in QED at weak couplings when an external magnetic field is present, and that chiral symmetry is restored at temperatures above $T_c…

High Energy Physics - Theory · Physics 2016-09-06 D. -S. Lee , C. N. Leung , Y. J. Ng

We study {\it analytically} the physical and mathematical properties of spatially regular massless scalar field configurations which are non-minimally coupled to the electromagnetic field of a spherically symmetric charged reflecting shell.…

General Relativity and Quantum Cosmology · Physics 2021-06-16 Shahar Hod

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
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