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In [1] a new bosonization procedure has been illustrated, which allows to express a fermionic gaussian system in terms of commuting variables at the price of introducing an extra dimension. The Fermi-Bose duality principle established in…

Disordered Systems and Neural Networks · Physics 2009-11-07 Franco Ferrari

It is shown that parity operator plays an interesting role in Dirac equation in (1+2) dimensions and can be used for defining chiral currents. It is shown that the "anomalous" current induced by an external gauge field can be related to the…

High Energy Physics - Phenomenology · Physics 2015-06-11 Riazuddin

Leading order higher-spin corrections to the linearized higher-spin black brane are analyzed in four dimensions. It is shown that the static solution that respects planar symmetry exists in the bosonic case at given order. Its higher-spin…

High Energy Physics - Theory · Physics 2022-02-09 V. E. Didenko , A. V. Korybut

Based on the gauge invariant variables proposed in our previous paper [K. Nakamura, Prog. Theor. Phys. vol.110 (2003), 723.], some formulae of the perturbative curvatures of each order are derived. We follow the general framework of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Kouji Nakamura

We discuss how to obtain the nonrelativistic limit of a self-consistent relativistic effective field theory for dynamic problems. It is shown that the standard v/c expansions yields Galilean invariance only to first order in v/c, whereas…

Nuclear Theory · Physics 2008-11-26 A. Sulaksono , P. -G. Reinhard , T. J. Buervenich , P. O. Hess , J. A. Maruhn

We present a complementary approach to the standard Vasiliev framework for nonlinear higher-spin interactions in four dimensions, aimed at identifying their minimally nonlocal form. Our proposal introduces a generating system for…

High Energy Physics - Theory · Physics 2026-01-16 V. E. Didenko

Persistent currents in disordered mesoscopic rings threaded by a magnetic flux are calculated using exact diagonalization methods in the one-dimensional (1D) case and self-consistent Hartree-Fock treatments for two dimensional (2D) systems.…

Condensed Matter · Physics 2008-02-03 Georges Bouzerar , Didier Poilblanc

We find the conserved current associated to invariance under generalised diffeomorphisms in double field theory. This can be used to define a generalised Komar integral. We comment on its applications to solutions, in particular to the…

High Energy Physics - Theory · Physics 2017-10-31 Chris D. A. Blair

This is the second part of a two part paper. In this part, we evaluate the previously unevaluated local densities at dyadic places which appear in the density theorem stated in the first part. For this part, we introduce an invariant, the…

Number Theory · Mathematics 2007-05-23 Anthony C. Kable , Akihiko Yukie

Various formulas for currents with arbitrary spin are worked out in general space-time dimension, in the free field limit and, at the bare level, in presence of interactions. As the n-dimensional generalization of the (conformal) vector…

High Energy Physics - Theory · Physics 2009-10-31 D. Anselmi

This paper studies formulations of second-order elliptic partial differential equations in nondivergence form on convex domains as equivalent variational problems. The first formulation is that of Smears \& S\"uli [SIAM J.\ Numer.\ Anal.\…

Numerical Analysis · Mathematics 2017-01-17 Dietmar Gallistl

The functional Schrodinger picture formulation of quantum field theory and the variational Gaussian approximation method based on the formulation are briefly reviewed. After presenting recent attempts to improve the variational…

High Energy Physics - Theory · Physics 2008-02-03 Jae Hyung Yee

As an alternative to the covariant Ostrogradski method, we show that higher-derivative relativistic Lagrangian field theories can be reduced to second differential-order by writing them directly as covariant two-derivative theories…

High Energy Physics - Theory · Physics 2008-11-26 F. J. de Urries , J. Julve , Eduardo J. S. Villaseñor

We give a new expression for the supercurrent and its conservation in curved ${\cal N}=1$, $D=4$ superspace using the superconformal approach. The first component of the superfield, whose lowest component is the vector auxiliary field gives…

High Energy Physics - Theory · Physics 2017-09-13 Sergio Ferrara , Marine Samsonyan , Magnus Tournoy , Antoine Van Proeyen

Recent investigation of locality problem for higher-spin fields led to a vertex reconstruction procedure that involved elements of contraction of the original Vasiliev interaction algebra. Inspired by these results we propose the…

High Energy Physics - Theory · Physics 2022-12-08 V. E. Didenko

Models for polarization drag - mechanical analog of the Faraday effect - are extended to include inertial corrections to the dielectrics properties of the rotating medium in its rest-frame. Instead of the Coriolis-Faraday term originally…

Plasma Physics · Physics 2023-06-26 Julien Langlois , Renaud Gueroult

Extending the Gaussian covariant hydrodynamics approach [1] using torsion as an auxiliary field we formulate a fluctuating hydrodynamics with spin which is covariant with respect to pseudo-gauge transformations as well as generally…

High Energy Physics - Theory · Physics 2026-04-10 David Montenegro , Mariana Julia Pereira Dos Dores Savioli , Giorgio Torrieri

We construct asymptotic solutions of the functional Schroedinger equation for a scalar field in the Gaussian approximation at large proper time. These solutions describe the late proper time stages of the expansion of a meson gas with boost…

High Energy Physics - Theory · Physics 2009-10-30 D. Vautherin , T. Matsui

We propose the relativistic point particle models invariant under the bosonic counterpart of SUSY. The particles move along the world lines in four dimensional Minkowski space extended by $N$ commuting Weyl spinors. The models provide after…

High Energy Physics - Theory · Physics 2007-05-23 Sergey Fedoruk , Jerzy Lukierski

In 2001, Zinoviev proposed a gauge-invariant formulation for a massive bosonic field with spin $s \geq 2$ in a spacetime of constant curvature. In this paper we carry out the Faddeev-Popov quantisation of this theory in $d$-dimensional…

High Energy Physics - Theory · Physics 2023-10-03 John H. Fegebank , Sergei M. Kuzenko
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