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Catalysis of dynamical symmetry breaking by a constant magnetic field in (3+1) dimensions is considered. We use the three flavour Nambu -- Jona-Lasinio type model with 't Hooft and eight-quark interaction terms. It is shown that the…

High Energy Physics - Phenomenology · Physics 2007-06-22 A. A. Osipov , B. Hiller , A. H. Blin , J. da Providencia

An extended Nambu-Jona-Lasinio (NJL) model with chiral group $U(2)\times U(2)$ and spin-0 and spin-1 four quark interactions is used to develop the gauge covariant approach to the diagonalization of the $\pi-a_1$ mixing in the presence of…

High Energy Physics - Phenomenology · Physics 2019-12-02 A. A. Osipov , B. Hiller , P. M. Zhang

A simple unified closed form derivation of the non-linearities of the Einstein, Yang-Mills and spinless (e.g., chiral) meson systems is given. For the first two, the non-linearities are required by locality and consistency; in all cases,…

General Relativity and Quantum Cosmology · Physics 2014-11-04 S. Deser

Consistent interactions that can be added to a free, Abelian gauge theory comprising a BF model and a finite set of massless real scalar fields are constructed from the deformation of the solution to the master equation based on specific…

High Energy Physics - Theory · Physics 2016-07-06 Constantin Bizdadea , Solange-Odile Saliu

In this study we prove that the Pauli interaction -- which is associated with a length parameter -- emerges when the minimal coupling recipe is applied to the non-degenerate version of the Dirac Lagrangian. The conventional Dirac Lagrangian…

General Relativity and Quantum Cosmology · Physics 2024-08-12 J. Struckmeier , D. Vasak , A. Redelbach , H. Stöcker

We discuss the symmetry properties of the reparametrization invariant model of an interacting relativistic particle where the electromagnetic field is taken as the constant background field. The direct coupling between the relativistic…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

In this work we employ a field theoretical approach to explain the nature of the non-conserved spin current in spintronics. In particular, we consider the usual U(1) gauge theory for the electromagnetism at classical level in order to…

High Energy Physics - Theory · Physics 2017-09-14 R. F. Sobreiro , V. J. Vasquez Otoya

Both non-Abelian gauge fields and minimally interacting massless matter fields are localized on a domain wall in the five-dimensional spacetime. Field-dependent gauge coupling naturally gives a position-dependent coupling to localize…

High Energy Physics - Theory · Physics 2014-05-07 Masato Arai , Filip Blaschke , Minoru Eto , Norisuke Sakai

We study the perturbative phase diagram of semi-simple fermionic gauge theories resembling the Standard Model. We investigate an $SU(N)$ gauge theory with $M$ Dirac flavors where we gauge first an $SU(M)_L$ and then an $SU(2)_L \subset…

High Energy Physics - Theory · Physics 2016-02-19 Jacob Kamuk Esbensen , Thomas A. Ryttov , Francesco Sannino

Starting from relativistic quantum field theories, describing interacting nucleons and pions coupled to the dynamical electromagnetic field, the pion degrees of freedom are eliminated by means of functional integration. Apart from taking…

Nuclear Theory · Physics 2009-10-30 H. W. L. Naus

The normal phase of the high-$T_c$ cuprates is apparently not described by Fermi liquid theory. It has been proposed that a dynamically generated gauge field must appear in the effective field theory. Even a simple spinon-gauge system is…

Condensed Matter · Physics 2009-10-22 Joseph Polchinski

We consider fermionic dense matter under a magnetic field, where fermions couple minimally to gauge fields, and calculate anomalous currents at one loop. We find anomalous currents are spontaneously generated along the magnetic field but…

High Energy Physics - Theory · Physics 2011-06-16 Deog Ki Hong

It is considered a mechanism of dynamical symmetry breaking for extended Ue(1)xUg(1) containing, one vector gauge field 'A' (photon) and one pseudo-vector gauge field 'C' (pseudo-photon). By choosing a particular solution of the equations…

High Energy Physics - Theory · Physics 2007-07-09 P. Castelo Ferreira

Using an effective-field-theory (nonlinear sigma model) description of interacting electrons in a disordered metal ring enclosing magnetic flux, we calculate the moments of the persistent current distribution, in terms of interacting…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 H. J. Bussemaker , T. R. Kirkpatrick

We study the effects of correlations on a one dimensional ring threaded by a uniform magnetic flux. In order to describe the interaction between particles, we work in the framework of the U $\infty$ Hubbard and $t$-$J$ models. We focus on…

Condensed Matter · Physics 2009-10-28 V. Ferrari , G. Chiappe

The magnetic moment and vanishing charge of a Dirac neutrino are physically observable quantities and must not depend on the choice of gauge in a consistent quantum field theory. We verify this statement explicitly at the one loop level in…

High Energy Physics - Phenomenology · Physics 2013-08-02 Wen-Tao Hou , Yi Liao , Hong-Jun Liu

Non-commutative electrodynamics obtained through the Seiberg-Witten map ceases to have equivalent action-level and equation-level realizations once fixed external currents are introduced, and in the action-level construction associated with…

High Energy Physics - Theory · Physics 2026-04-21 J. Manuel Cabrera , A. G. Andarcia Caballero , J. M. Paulin Fuentes

Some spontaneously broken gauge theories with left couplings to fermions, like the abelian model that we propose here, can be endowed with a composite scalar sector and Wess-Zumino field ; their quantization in the functionnal integral…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Machet

A special class of Dirac-Pauli equations with time-like vector potentials of external field is investigated. A new exactly solvable relativistic model describing anomalous interaction of a neutral Dirac fermion with a cylindrically…

Quantum Physics · Physics 2018-09-05 Elena Ferraro , Antonino Messina , A. G. Nikitin

The gauge coupling constants in the electroweak standard model can be written as mass ratios, e.g. the coupling constant for isospin interactions $g_2^2=2{m_W^2\over m^2}\sim 2({80\over169})^2\sim{1\over 2.3}$ with the mass of the charged…

High Energy Physics - Theory · Physics 2009-11-11 Heinrich Saller