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We study a system of fermions interacting with a gauge field which can be used to describe either spin liquid or $\nu=1/2$ Quantum Hall state. We propose a generalized model with a dimensionless parameter $N$. We evaluate the properties of…

Condensed Matter · Physics 2007-05-23 L. B. Ioffe , D. Lidsky , B. L. Altshuler

We examine Friedmann-Robertson-Walker models in three spacetime dimensions. The matter content of the models is composed of a perfect fluid, with a $\gamma$-law equation of state, and a homogeneous scalar field minimally coupled to gravity…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Norman Cruz , Cristian Martinez

We present simulations of the Einstein-Maxwell-Klein-Gordon system on compactified hyperboloidal slices. To the best of our knowledge, this is the first time that this setup is evolved with a common formulation like BSSN/Z4. Hyperboloidal…

General Relativity and Quantum Cosmology · Physics 2025-11-10 João D. Álvares , Alex Vaño-Viñuales

Dimensionality aspects of non-minimal electromagnetic couplings are investigated. By means of the Foldy-Wouthuysen transformation, we attain (non-)relativistic interactions related to the non-minimal coupling in three-dimensional spacetime,…

High Energy Physics - Theory · Physics 2021-05-25 M. G. Campos , L. P. R. Ospedal

The (1+1)-dimensional bosonization relations for fermionic mass terms are derived by choosing a specific gauge in an enlarged gauge-invariant theory containing both fermionic and bosonic fields. The fermionic part of the generating…

High Energy Physics - Theory · Physics 2009-10-22 P. H. Damgaard , H. B. Nielsen , R. Sollacher

A functional integral approach is developed to discuss the bosonisation of the massive Thirring and the massive Schwinger models in arbitrary D-dimensions. It is found that these models, to {\it all} orders in the inverse fermi mass,…

High Energy Physics - Theory · Physics 2009-10-28 R. Banerjee

The infrared properties of QED are investigated within the framework of the Dyson-Schwinger equations. Our study finds that, independently of the value of the coupling constant, requiring the photon self-energy to be finite for any momenta,…

High Energy Physics - Phenomenology · Physics 2025-11-05 Orlando Oliveira

The Maxwell-covariant particle model is formulated in tensorial extended D=4 space-time (x_mu, z_{mu nu}) parametrized by ten-dimensional coset of D=4 Maxwell group, with added auxiliary Weyl spinors lambda_alpha, y^alpha. We provide the…

High Energy Physics - Theory · Physics 2015-06-11 Sergey Fedoruk , Jerzy Lukierski

We study the bosonization of massless fermions in three-dimensional space-time. Using the path-integral approach as well as the operator formalism, we investigate new duality relations between fermionic and bosonic theories. In particular,…

High Energy Physics - Theory · Physics 2013-08-09 E. F. Moreno , F. A. Schaposnik

We study a massive Thirring-like model in 2-dimensional space-time, which contains fermions with arbitrary number (N) of different species. This model is an extension of that of a previous paper, where we have considered two-species case.…

High Energy Physics - Theory · Physics 2007-05-23 Jiro Sakamoto , Yasuaki Fukuoka

We investigate the global properties of black brane solutions of a three-parameter Einstein-Maxwell model nonminimally coupled to a scalar with exponential potential. The black brane solutions of this model have recently been investigated…

General Relativity and Quantum Cosmology · Physics 2015-06-11 S. Mignemi

We consider the functional Schrodinger equation for a self interacting scalar field in an expanding geometry. By performing a time dependent scale transformation on the argument of the field we derive a functional Schrodinger equation whose…

General Relativity and Quantum Cosmology · Physics 2009-10-22 F. Braghin , C. Martin , D. Vautherin

We study an interacting $\lambda\,\phi^4_{\star}$ scalar field defined on Snyder-de Sitter space. Due to the noncommutativity as well as the curvature of this space, the renormalization of the two-point function differs from the commutative…

High Energy Physics - Theory · Physics 2021-04-01 S. A. Franchino-Viñas , S. Mignemi

We study the null asymptotic structure of Einstein-Maxwell theory in three-dimensional (3D) spacetimes. Although devoid of bulk gravitational degrees of freedom, the system admits a massless photon and can therefore accommodate…

High Energy Physics - Theory · Physics 2024-04-03 Jorrit Bosma , Marc Geiller , Sucheta Majumdar , Blagoje Oblak

We relate the reduced density matrices of quadratic bosonic and fermionic models to their Green's function matrices in a unified way and calculate the scaling of bipartite entanglement of finite systems in an infinite universe exactly. For…

Statistical Mechanics · Physics 2007-05-23 Thomas Barthel , Ming-Chiang Chung , Ulrich Schollwoeck

This paper is concerned with the time-dependent Maxwell's equations for a plane interface between a negative material described by the Drude model and the vacuum, which fill, respectively, two complementary half-spaces. In a first paper, we…

Analysis of PDEs · Mathematics 2021-10-14 Maxence Cassier , Christophe Hazard , Patrick Joly

We propose the bosonization of a many-body fermion theory in D spatial dimensions through a noncommutative field theory on a (2D-1)-dimensional space. This theory leads to a chiral current algebra over the noncommutative space and…

High Energy Physics - Theory · Physics 2009-11-11 Alexios P. Polychronakos

We study some consequences of dimensionally reducing systems with massless fermions and Abelian gauge fields from 3+1 to 2+1 dimensions. We first consider fermions in the presence of an external Abelian gauge field. In the reduced theory,…

High Energy Physics - Theory · Physics 2009-10-31 C. D. Fosco , A. Lopez , F. A. Schaposnik

Exact particle-like static, spherically and/or cylindrically symmetric solutions to the equations of interacting scalar and electromagnetic field system have been obtained within the scope of general relativity. In particular, we considered…

General Relativity and Quantum Cosmology · Physics 2014-11-17 B. Saha

The Buchholz' scattering theory of waves in two dimensional massless models suggests a natural definition of a scattering amplitude. We compute such a scattering amplitude for charged infraparticles that live in the GNS representation of…

Mathematical Physics · Physics 2022-09-28 Wojciech Dybalski , Jens Mund