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Due to the fact that only matter fields have phase, frequently is believed that the gauge principle can induce gauge fields only in quantum systems. But this is not necessary. This paper, of pedagogical scope, presents a classical system…

High Energy Physics - Theory · Physics 2007-05-23 Luis Alberto Sanchez , Jorge Mahecha

We study properties of classical reparametrization-invariant matter systems, mainly the relativistic particle and its d-brane generalization. The corresponding matter Lagrangian naturally contains background interaction fields, such as a…

Mathematical Physics · Physics 2007-05-23 Vesselin G. Gueorguiev

We show that in supersymmetric pure Yang Mills theories with arbitrary simple gauge group, the spontaneous breaking of chiral fermionic and bosonic charge by the associated gaugino and gauge boson condensates implies the spontaneous…

High Energy Physics - Theory · Physics 2009-10-30 M. Leibundgut , P. Minkowski

General structure of classical reparametrization-invariant matter systems, mainly the relativistic particle and its $d$-brane generalization, are studied. The exposition is in close analogy with the relativistic particle in an…

Mathematical Physics · Physics 2007-05-23 V. G. Gueorguiev

We propose a general action describing the dynamics of lightlike (LL) p-branes in any odd (p+1) world-volume dimensions. Next, we consider self-consistent coupling of \textsl{LL}-membranes (p=2) to D=4 Einstein-Maxwell system plus a D=4…

High Energy Physics - Theory · Physics 2011-09-27 E. I. Guendelman , A. Kaganovich , E. Nissimov , S. Pacheva

A specific class of gauge theories is geometrically described in terms of fermions. In particular, it is shown how the geometrical frame presented naturally includes spontaneous symmetry breaking of Yang-Mills gauge theories without making…

Mathematical Physics · Physics 2015-06-26 Juergen Tolksdorf , Torsten Thumstaedter

We review recent progress in a fully dynamical Lagrangian description of the supergravity-superbrane interaction. It suggests that the interacting superfield action, when it exists, is gauge equivalent to the component action of dynamical…

High Energy Physics - Theory · Physics 2007-05-23 Igor A. Bandos , Jose A. de Azcarraga , Jose M. Izquierdo , Jerzy Lukierski

Spontaneous symmetry breaking is examined by regarding it as a phenomenon in the eternal intermediate state due to sequential perturbations. The concept of the relativistic many-body state is applied to this intermediate state occurring in…

High Energy Physics - Theory · Physics 2023-09-29 Shun-ichiro Koh

The theory of gauge fields in Theoretical Physics poses several mathematical problems of interest in Differential Geometry and in Field Theory. Below we tackle one of these problems: The existence of a finite system of generators of…

Mathematical Physics · Physics 2019-03-04 Marco Castrillón López , Jaime Muñoz Masqué , Eugenia Rosado María

We address some new issues concerning spontaneous symmetry breaking. We define classical Higgs fields for gauge-natural invariant Yang--Mills type Lagrangian field theories through the requirement of the existence of {\em canonical}…

Mathematical Physics · Physics 2021-01-07 Marcella Palese , Ekkehart Winterroth

We show how to cast an interacting system of M--branes into manifestly gauge-invariant form using an arrangement of higher-dimensional Dirac surfaces. Classical M--theory has a cohomologically nontrivial and noncommutative set of gauge…

High Energy Physics - Theory · Physics 2009-11-10 J. Kalkkinen , K. S. Stelle

In this paper, using a model of N=2 supergravity - vector multiplets interaction with the scalar field geometry $SU(1,m)/SU(m)\otimes U(1)$ as an example, we show that even when the geometry is fixed one can have a whole family of the…

High Energy Physics - Theory · Physics 2010-04-06 Yu. M. Zinoviev

A version of the kappa-symmetric super D-p-brane action is presented in which the tension is a dynamical variable, equal to the flux of a p-form worldvolume gauge field. The Lagrangian is shown to be invariant under all (super)isometries of…

High Energy Physics - Theory · Physics 2009-10-31 E. Bergshoeff , P. K. Townsend

We derive the second variation Lagrangian of the Randall-Sundrum model with two branes, study its gauge invariance and diagonalize it in the unitary gauge. We also show that the effective four-dimensional theory looks different on different…

High Energy Physics - Theory · Physics 2009-11-07 Edward E. Boos , Yuri A. Kubyshin , Mikhail N. Smolyakov , Igor P. Volobuev

We present a new Lagrangian formulation of General Relativity with cosmological constant, coupled to Yang-Mills gauge theory. The formulation has a manifest color/kinematics-dual structure, both in the choice of fundamental fields and in…

General Relativity and Quantum Cosmology · Physics 2024-10-25 Yasha Neiman

Coupling gauge fields to the chiral currents from an effective Lagrangian for pseudoscalar mesons naturally gives rise to a species doubling phenomenon similar to that seen with fermionic fields in lattice gauge theory.

High Energy Physics - Lattice · Physics 2009-10-28 Michael Creutz , Michel Tytgat

The low-energy and low-momentum dynamics of systems with a spontaneously broken continuous symmetry is dominated by the ensuing Nambu-Goldstone bosons. It can be conveniently encoded in a model-independent effective field theory whose…

High Energy Physics - Phenomenology · Physics 2014-08-19 Jens O. Andersen , Tomas Brauner , Christoph P. Hofmann , Aleksi Vuorinen

Spontaneous symmetry breaking is a general principle, that constitutes the underlying concept of a vast number of physical phenomena ranging from ferromagnetism and superconductivity in condensed matter physics to the Higgs mechanism in the…

High Energy Physics - Theory · Physics 2015-03-13 Tomas Brauner

We consider real and complex scalar fields non-minimally coupled to gravity in the bulk spacetime and study their impact on the brane upon acquiring a non-vanishing vacuum expectation value. When examining the case of the complex scalar…

High Energy Physics - Theory · Physics 2008-11-26 Orfeu Bertolami , Carla Carvalho

In this work the spontaneous symmetry breaking in certain nonlinear theories with second-class constraints is explored. Using the Dirac's method we perform an analysis of the constraints and the counting of the degrees of freedom. The…

High Energy Physics - Theory · Physics 2022-09-14 C. A. Escobar , Román Linares