Quantum field theory on toroidal topology: Algebraic structure and applications

FC Khanna, APC Malbouisson, JMC Malbouisson… - Physics Reports, 2014 - Elsevier
The development of quantum theory on a torus has a long history, and can be traced back to
the 1920s, with the attempts by Nordström, Kaluza and Klein to define a fourth spatial …

Transport of Dirac quasiparticles in graphene: Hall and optical conductivities

VP Gusynin, SG Sharapov - Physical Review B—Condensed Matter and …, 2006 - APS
The analytical expressions for both diagonal and off-diagonal ac and dc conductivities of
graphene placed in an external magnetic field are derived. These conductivities exhibit …

Finite-size effects on the phase diagram of difermion condensates in two-dimensional<? format?> four-fermion interaction models

LM Abreu, APC Malbouisson, JMC Malbouisson - Physical Review D …, 2011 - APS
We investigate finite-size effects on the phase structure of chiral and difermion condensates
at finite temperature and density in the framework of the two-dimensional large-N Nambu …

Finite size effects in the Gross-Neveu model with isospin chemical potential

D Ebert, KG Klimenko, AV Tyukov, VC Zhukovsky - Physical Review D …, 2008 - APS
The properties of the two-flavored Gross-Neveu model in the (1+ 1)-dimensional R 1× S 1
spacetime with compactified space coordinate are investigated in the presence of the …

Finite-size effects on the chiral phase diagram of four-fermion models in four dimensions

LM Abreu, APC Malbouisson, JMC Malbouisson… - Nuclear Physics B, 2009 - Elsevier
We study the size dependence of the dynamical symmetry breaking in the four-dimensional
Nambu–Jona-Lasinio model. We show that the presence of boundaries reduces the chiral …

Nambu-Jona-Lasinio model in a magnetic background: Size-dependent effects

LM Abreu, APC Malbouisson, JMC Malbouisson - Physical Review D …, 2011 - APS
We investigate finite-size effects on the chiral transition at finite temperature and density in
the framework of the Nambu-Jona-Lasinio model in the presence of an external magnetic …

The finite-temperature relativistic Landau problem and the relativistic quantum Hall effect

CG Beneventano, EM Santangelo - Journal of Physics A …, 2006 - iopscience.iop.org
This paper presents a study of the free energy and particle density of the relativistic Landau
problem, and their relevance to the quantum Hall effect. First we study the zero-temperature …

Phase structure of difermion condensates in the Nambu–Jona-Lasinio model: The size-dependent properties

LM Abreu, APC Malbouisson… - Europhysics …, 2010 - iopscience.iop.org
We investigate finite-size effects on the phase structure of difermion condensates at finite
temperature and density in the framework of the two-dimensional large-N limit Nambu–Jona …

Relativistic Landau problem at finite temperature

CG Beneventano, EM Santangelo - Journal of Physics A …, 2006 - iopscience.iop.org
We study the zero temperature Casimir energy and fermion number for Dirac fields in a (2+
1)-dimensional Minkowski space-time, in the presence of a uniform magnetic field …

Zeta functions of Dirac and Laplace-type operators over finite cylinders

K Kirsten, P Loya, J Park - Annals of Physics, 2006 - Elsevier
In this paper, a complete description of the zeta functions and corresponding zeta
determinants for Dirac and Laplace-type operators over finite cylinders using the contour …