The first part of this paper is a review of the author’s work with S. Bahcall which gave an elementary derivation of the Chern Simons description of the Quantum Hall effect for filling fraction 1/n. The notation has been modernized to conform with standard gauge theory conventions. In the second part arguments are given to support the claim that abelian non– commutative Chern Simons theory at l...

Spontaneous CPT breaking arising in string theory has been suggested as a possible observable experimental signature in neutral-meson systems. We provide a theoretical framework for the treatment of lowenergy effects of spontaneous CPT violation and the attendant partial Lorentz breaking. The analysis is within the context of conventional relativistic quantum mechanics and quantum field theory ...

Perturbative expansions of relativistic quantum field theories typically contain ultraviolet divergences requiring regularization and renormalization. Many different regularization techniques have been developed over the years, but most regularizations require severe mutilation of the logical foundations of the theory. In contrast, breaking Lorentz invariance, while it is certainly a radical st...

New facilities for antiproton and ion research at GSI will give a unique possibility to observe the Coulomb glory phenomenon predicted by Demkov and coauthors [1, 2]. The effect consists in a prominent maximum of the differential cross section (DCS) in the backward direction at a certain energy of the incident particle, provided the interaction with the target is represented by a screened Coulo...

Abstract We consider relativistic U(1) gauge theories in 2 + 1 dimensions, with Nb species of complex bosons and Nf species of Dirac fermions at finite temperature. The quantum phase transition between the Higgs and Coulomb phases is described by a conformal field theory (CFT). At large Nb and Nf , but for arbitrary values of the ratio Nb/Nf , we present computations of various critical exponen...

The spin degrees of freedom for the relativistic particle are described by either Lorentz group variables (classically) or Grassmann variables (pseudo-classically). The relationship between those two descriptions are given. In doing that, appropriate constraints are constructed to put into the lagrangian. Especially a natural relation of Lorentz group variables and Grassmann variables is obtain...

We analyze the supersymmetry and the shape invariance of the potentials of the (1+1) relativistic oscillators we have recently proposed [1, 2]. In the general relativity, the geometric models play the role of kinematics, helping us to understand the characteristics of the classical or quantum free motion on a given background. One of the simplest (1+1) geometric models is that of the quantum re...

In quantum gauge theory of gravity, the gravitational field is represented by gravitational gauge field. The field strength of gravitational gauge field has both gravitoelectric component and gravitomagnetic component. In classical level, gauge theory of gravity gives out classical Newtonian gravitational interactions in a relativistic form. Besides, it gives out gravitational Lorentz force whi...

In this work we revisit the famous Fermi two-atom problem, which concerns how relativistic causality impacts atomic transition probabilities, using tools from quantum information and algebraic field theory. The problem has sparked different analyses many directions angles since proposed solution by Buchholz Yngvason [Phys. Rev. Lett. 73, 613 (1994)]. Some of these employ various approximations,...

The low-lying excitations of a quantum Hall state on a disk geometry are edge excitations. Their dynamics is governed by a conformal field theory on the cylinder defined by the disk boundary and the time variable. We give a simple and detailed derivation of this conformal field theory for integer filling, starting from the microscopic dynamics of (2 + 1)-dimensional non-relativistic electrons i...