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Multicomplex numbers of order n have an associated trigonometry (multisine functions with (n-1) parameters) leading to a natural extension of the sine-Gordon model. The parameters are constrained from the requirement of local current…

High Energy Physics - Theory · Physics 2008-11-26 P. Baseilhac , S. Galice , P. Grangé , M. Rausch de Traubenberg

Self-dual gauge potentials admit supersymmetric couplings to higher-spin fields satisfying interacting forms of the first order Dirac--Fierz equation. The interactions are governed by conserved currents determined by supersymmetry. These…

High Energy Physics - Theory · Physics 2009-10-28 Ch. Devchand , V. Ogievetsky

We consider a set of gauge invariant terms in higher order effective Lagrangians of the strongly interacting scalar of the electroweak theory. The terms are introduced in the framework of the hidden gauge symmetry formalism. The usual gauge…

High Energy Physics - Phenomenology · Physics 2009-10-22 L. Marleau , H. Omari

In (2+1) dimensions, we consider the model of a $N$ flavor, two-component fermionic field interacting through a Chern-Simons field besides a four fermion self-interaction which consists of a linear combination of the Gross-Neveu and…

High Energy Physics - Theory · Physics 2009-10-31 V. S. Alves , M. Gomes , S. V. L. Pinheiro , A. J. da Silva

We propose Chern-Simons models of fractional-spin fields interacting with ordinary tensorial higher-spin fields and internal color gauge fields. For integer and half-integer values of the fractional spins, the model reduces to finite sets…

High Energy Physics - Theory · Physics 2015-06-17 Nicolas Boulanger , Per Sundell , Mauricio Valenzuela

Recently it has been suggested that junctions between materials with different parity violating properties would be characterized by diffusion layers, analogous to those in the p-n junction. This remark is amplified by a fuller…

Condensed Matter · Physics 2016-08-31 Mark Burgess , Margaret Carrington

A didactic and systematic derivation of Noether point symmetries and conserved currents is put forward in special relativistic field theories, without a priori assumptions about the transformation laws. Given the Lagrangian density, the…

General Physics · Physics 2016-03-17 Fernando Haas

Topological phases of matter can be classified by using Clifford algebras through Bott periodicity. We consider effective topological field theories of quantum Hall systems and topological insulators that are Chern-Simons and BF field…

Strongly Correlated Electrons · Physics 2017-09-11 Özgür Açık , Ümit Ertem

Being gauge non-invariant, a Chern-Simons (2k-1)-form seen as a Lagrangian of gauge theory on a (2k-1)-dimensional manifold leads to the gauge conservation law of a modified Noether current.

High Energy Physics - Theory · Physics 2007-05-23 G. Sardanashvily

The properties of the multisoliton solutions of the (2+1)-dimensional Maxwell-Chern-Simons-Skyrme model are investigated numerically. Coupling to the Chern-Simons term allows for existence of the electrically charge solitons which may also…

High Energy Physics - Theory · Physics 2017-02-15 A. Samoilenka , Ya. Shnir

We show how the stability conditions for a system of interacting fermions that conventionally involve variations of thermodynamic potentials can be rewritten in terms of one- and two-particle correlators. We illustrate the applicability of…

Strongly Correlated Electrons · Physics 2024-08-09 A. Kowalski , M. Reitner , L. Del Re , M. Chatzieleftheriou , A. Amaricci , A. Toschi , L. de' Medici , G. Sangiovanni , T. Schäfer

We extend our study of deriving the local gauge invariance with spontaneous symmetry breaking in the context of an effective field theory by considering self-interactions of the scalar field and inclusion of the electromagnetic interaction.…

High Energy Physics - Theory · Physics 2018-12-05 D. Djukanovic , J. Gegelia , Ulf-G. Meißner

We review the construction of consistent higher-spin theories based on Chern-Simons actions. To this end we first introduce the required higher-spin algebras and discuss curvature and torsion tensors in an unconstrained way. Finally we…

High Energy Physics - Theory · Physics 2008-11-26 Johan Engquist , Olaf Hohm

We study the symmetry breaking and restoration behavior of a self-interacting charged scalar field theory under the influence of a constant electric field and finite temperature. Our study is performed in the context of the optimized…

High Energy Physics - Phenomenology · Physics 2025-01-07 William R. Tavares , Rudnei O. Ramos , Ricardo L. S. Farias , Sidney S. Avancini

In a four-dimensional space I shall construct all of the conformally invariant, scalar-vector-tensor field theories that are consistent with conservation of charge, and flat space compatible. By the last assumption I mean that the…

General Relativity and Quantum Cosmology · Physics 2018-01-29 Gregory W. Horndeski

Fracton phases of matter constitute an interesting point of contact between condensed matter and high-energy physics. The limited mobility property of fracton quasiparticles finds applications in many different contexts, including quantum…

High Energy Physics - Theory · Physics 2024-11-01 Erica Bertolini , Alberto Blasi , Nicola Maggiore , Daniel Sacco Shaikh

We identify a redundancy between two- and three-nucleon contact interactions at the fourth and fifth order of the chiral expansion respectively. In particular we show that tensor-type and spin-orbit three-nucleon contact interactions…

Nuclear Theory · Physics 2021-01-04 L. Girlanda , A. Kievsky , L. E. Marcucci , M. Viviani

The purpose of this paper is to explore, in a space of four-dimensions, the possible forms that second-order, bi-scalar-vector-tensor field equations derivable from a variational principle can assume. In order to restrict this enormous…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Gregory W. Horndeski

We investigate the phase diagram of spinless fermions on a square lattice with nearest-neighbor interaction, using the recently developed projective truncation approximation in Green's function equation of motion. For attractive…

Strongly Correlated Electrons · Physics 2022-02-03 Kou-Han Ma , Ning-Hua Tong

Chern-Simons theory can be defined on a cell complex, such as a network of bubbles, which is not a (Hausdorff) manifold. Requiring gauge invariance determines the action, including interaction terms at the intersections, and imposes a…

High Energy Physics - Theory · Physics 2008-11-03 Steven Willison , Jorge Zanelli