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We study the quantum mechanics of a system of topologically interacting particles in 2+1 dimensions, which is described by coupling the particles to a Chern-Simons gauge field of an inhomogeneous group. Analysis of the phase space shows…

高能物理 - 理论 · 物理学 2009-10-31 F. A. Bais , N. M. Muller

Relying on the redefined vacuum state approach, and based on one-particle three-loop Feynman diagrams, partial third-order interelectronic corrections to the valence electron energy shift are investigated in Li-like ions. The idea is to…

原子物理 · 物理学 2023-10-20 R. N. Soguel , S. Fritzsche

A U(N) Chern-Simons theory on noncommutative $\mathbb{R}^{3}$ is constructed as a $\q$-deformed field theory. The model is characterized by two symmetries: the BRST-symmetry and the topological linear vector supersymmetry. It is shown that…

高能物理 - 理论 · 物理学 2009-10-31 A. A. Bichl , J. M. Grimstrup , V. Putz , M. Schweda

We examine the accuracy of an intrinsically one-dimensional quantum electrodynamics to predict accurately the forces and charges of a three-dimensional system that has a high degree of symmetry and therefore depends effectively only on a…

原子物理 · 物理学 2015-12-09 Q. Z. Lv , N. D. Christensen , Q. Su , R. Grobe

As a precursor to work on QCD, we study the dressed electron in QED nonperturbatively. The calculational scheme uses an invariant mass cutoff, discretized light-cone quantization, a Tamm--Dancoff truncation of the Fock space, and a small…

高能物理 - 唯象学 · 物理学 2007-05-23 J. R. Hiller , S. J. Brodsky

In this note, we review some new results we recently obtained about the infrared physics of 3d $\mathcal{N}=2$ SQCD with a unitary gauge group, in particular in the presence of a non-zero Fayet-Iliopoulos parameter and with generic values…

高能物理 - 理论 · 物理学 2023-12-11 Cyril Closset , Osama Khlaif

One discusses the issue of low-energy electron-electron bound states in the Maxwell-Chern-Simons model coupled to QED3 with spontaneous breaking of a local U(1)-symmetry. The scattering potential, in the non-relativistic limit, steaming…

高能物理 - 理论 · 物理学 2011-08-17 H. Belich , O. M. Del Cima , M. M. Ferreira , J. A. Helayel-Neto

A new perturbational approach to spectral and thermal properties of strongly correlated electron systems is presented: The Anderson model is reexamined for $U\to\infty$\,, and it is shown that an expansion of Green's functions with respect…

凝聚态物理 · 物理学 2009-10-22 Jan Brinckmann

In Lorentz violating quantum electrodynamics (QED) it is known that a radiatively induced Chern-Simons term appears in the effective action for the gauge field, which is finite but undetermined. This ambiguity is shown to be absent in a…

高能物理 - 理论 · 物理学 2012-08-22 Adolfo G. Grushin

We study the effect of a Chern-Simons term in a theory with discrete gauge group H, which in (2+1)-dimensional space time describes (non-abelian) anyons. As in a previous paper, we emphasize the underlying algebraic structure, namely the…

高能物理 - 理论 · 物理学 2015-06-26 F. Alexander Bais , Peter van Driel , Mark de Wild Propitius

We consider a fibrillar medium with a continuous distribution of two-level atoms coupled to quantized electromagnetic fields. Perturbation theory is developed based on the current algebra satisfied by the atomic operators. The one-loop…

高能物理 - 理论 · 物理学 2009-10-30 Andre' Leclair

We consider an alternative quantization of the electromagnetic field around the Chern-Simons state $\psi_{CS}$ which is a zero energy solution of quantum electrodynamics. The solution determines a stochastic process which is a random…

高能物理 - 理论 · 物理学 2025-04-07 Z. Haba

$SU(N)$ Yang-Mills theory in three dimensions, with a Chern-Simons term of level $k$ (an integer) added, has two dimensionful coupling constants, $g^2 k$ and $g^2 N$; its possible phases depend on the size of $k$ relative to $N$. For $k \gg…

高能物理 - 理论 · 物理学 2014-11-18 John M. Cornwall

We apply the noncommutative fields method for gauge theory in three dimensions where the Chern-Simons term is generated in the three-dimensional electrodynamics. Under the same procedure, the Chern-Simons term is shown to be cancelled in…

高能物理 - 理论 · 物理学 2008-11-26 J. R. Nascimento , A. Yu. Petrov , R. F. Ribeiro

The pseudoscalar particles pions, kaons and the $\eta$-particle are considerably lighter than the other hadrons such as protons or neutrons. Their lightness was understood as a consequence of approximate chiral symmetry breaking. This led…

高能物理 - 唯象学 · 物理学 2023-02-14 B. Ananthanarayan , M. S. A. Alam Khan , Daniel Wyler

We study a non-Abelian Chern-Simons gauge theory in $ 2+ 1$ dimensions with the inclusion of an anomalous magnetic interaction. For a particular relation between the Chern-Simons (CS) mass and the anomalous magnetic coupling the equations…

高能物理 - 理论 · 物理学 2009-10-28 Armando Antillón , Joaquín Escalona , Gabriel Germán , Manuel Torres

The symmetry studies of Maxwell equations gave new insight on the nature of electromagnetic (EM) field. Tey are reviewed in the work presented. It is drawing the attention on the following aspects. EM-field has in general case quaternion…

数学物理 · 物理学 2013-07-11 Dmitri Yerchuck , Alla Dovlatova , Andrey Alexandrov

In the present paper we study some new classical Lorentz violating effects in planar electrodynamics due to the presence of stationary point-like field sources. Starting from the Carroll-Field-Jackiw model defined in (3+1) dimensions, which…

高能物理 - 理论 · 物理学 2024-01-11 L. H. C. Borges , A. F. Ferrari , P. H. O. da Silva , F. A. Barone

We study the gauge covariance of the fermion propagator in Maxwell-Chern-Simons planar quantum electrodynamics (QED$_3$) considering four-component spinors with parity-even and parity-odd mass terms both for fermions and photons. Starting…

高能物理 - 唯象学 · 物理学 2008-12-18 A. Bashir , A. Raya , S. Sanchez-Madrigal

We develop a field theory formalism for the disordered interacting electron liquid in the dynamical Keldysh formulation. This formalism is an alternative to the previously used replica technique. In addition it naturally allows for the…

无序系统与神经网络 · 物理学 2009-10-31 Alex Kamenev , Anton Andreev