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Generalizing Deser's work on pure $SU(2)$ gauge theory, we consider scalar, spinor and vector matter fields transforming under arbitrary representations of a non-Abelian, compact, semisimple internal Lie group which is a global symmetry of…

General Physics · Physics 2019-01-28 Aniket Basu , Parthasarathi Majumdar , Indrajit Mitra

Relativistic spin-1/2 particles in curved spacetime are naturally described by Dirac theory, which is a dynamical and Lorentz-invariant field theory. In this work, we propose a non-dynamical fermion theory in 3+1 dimensions dubbed spinor…

High Energy Physics - Theory · Physics 2016-07-20 Giandomenico Palumbo

The Poisson gauge algebra is a semi-classical limit of complete non-commutative gauge algebra. In the present work we formulate the Poisson gauge theory which is a dynamical field theoretical model having the Poisson gauge algebra as a…

High Energy Physics - Theory · Physics 2021-09-08 Vladislav G. Kupriyanov

A description of how a theory of gravity can be considered as a gauge theory (in the sense of Trautman) of the Poincare' group is given. As a result, it is shown that a gauge theory of this kind is consistent with the Equivalence Principle…

Differential Geometry · Mathematics 2010-01-07 A. Spiro , S. Tantucci

Double field theory describes a massless subsector of closed string theory with both momentum and winding excitations. The gauge algebra is governed by the Courant bracket in certain subsectors of this double field theory. We construct the…

High Energy Physics - Theory · Physics 2014-11-20 Olaf Hohm , Chris Hull , Barton Zwiebach

We present a compact, self-contained review of the conventional gauge theoretical approach to gravitation based on the local Poincare group of symmetry transformations. The covariant field equations, Bianchi identities and conservation laws…

General Relativity and Quantum Cosmology · Physics 2010-03-25 S. A. Ali , C. Cafaro , S. Capozziello , Ch. Corda

Starting with a Hilbert space endowed with a representation of a unitary Lie algebra and an action of a generalized Dirac operator, we develop a mathematical concept towards gauge field theories. This concept shares common features with the…

High Energy Physics - Theory · Physics 2008-02-03 Raimar Wulkenhaar

This conference proceedings contribution emphasizes the emergent hadron mass paradigm, which accounts for the majority of the visible mass in the universe, beyond the Higgs boson mechanism. The study delves into the Landau gauge gluon…

High Energy Physics - Phenomenology · Physics 2024-09-05 Jorge Segovia

In this short review, we explain how and in which sense the causal action principle for causal fermion systems gives rise to classical gravity and the Einstein equations. Moreover, methods are presented for going beyond classical gravity,…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Felix Finster

The inaction approach introduced previously for phi^4 is generalized to gauge theories. It combines the advantages of the effective field theory and causal approaches to quantum fields. Also, it suggests ways to generalizing gauge theories.

High Energy Physics - Theory · Physics 2015-06-11 Grigorii Pivovarov

We generalize previous work by considering a novel gravitational model with an action given by an arbitrary function of the Ricci scalar, the matter Lagrangian density, a scalar field and a kinetic term constructed from the gradients of the…

General Relativity and Quantum Cosmology · Physics 2013-02-06 Tiberiu Harko , Francisco S. N. Lobo , Olivier Minazzoli

We review some recent work on nonperturbative properties of fermions and connections with chiral gauge theories. In particular, we consider one of the ultimate goals of this program: the understanding of the actual fermion mass spectrum. It…

High Energy Physics - Phenomenology · Physics 2009-10-22 R. Shrock

The gauge theory is the most important type of the field theory, in which the interactions of the elementary particles are described by the exchange of the gauge bosons.In this article, the gauge theory is reexamined as geometry of the…

General Physics · Physics 2016-11-29 Kozo Koizumi

We will consider the least-order torsional completion of gravity for a spacetime filled with fermionic Dirac matter fields, and we study the effects of the background-induced non-linear potentials for the matter field themselves in view of…

General Relativity and Quantum Cosmology · Physics 2014-12-16 Luca Fabbri

A covariant version of the non-abelian Dirac-Born-Infeld-Myers action is presented. The non-abelian degrees of freedom are incorporated by adjoining to the (bosonic) worldvolume of the brane a number of anticommuting fermionic directions…

High Energy Physics - Theory · Physics 2009-11-11 P. S. Howe , U. Lindstrom , L. Wulff

We show that after the Seiberg-Witten map is performed the action for noncommutative field theories can be regarded as a coupling to a field dependent gravitational background. This gravitational background depends only on the gauge field.…

High Energy Physics - Theory · Physics 2009-11-07 Victor O. Rivelles

We study the Poincar\'e gauge theory of gravity with the most general Lagrangian quadratic in curvature and torsion, focusing on the possible interaction of the axial torsion with the electromagnetic field. From the analysis of the closed…

General Relativity and Quantum Cosmology · Physics 2024-10-03 Mariya Iv. Trukhanova , Yu. N. Obukhov

We figure out the explicit expression for the trace of the field equations associated to generic higher derivative theories of gravity endowed with Lagrangians depending upon the metric and its Riemann tensor, together with arbitrary order…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Jun-Jin Peng , Hua Li

We study the coupling of fermions to Yang-Mills matrix models in the framework of emergent noncommutative gravity. It is shown that the matrix model action provides an appropriate coupling for fermions to gravity, albeit with a non-standard…

High Energy Physics - Theory · Physics 2010-02-16 Daniela Klammer , Harold Steinacker

The quasiclassical theory of massless chiral fermions is considered. The effective action is derived using time-dependent variational principle which provides a clear interpretation of relevant canonical variables. As a result their…

High Energy Physics - Theory · Physics 2019-09-04 K. Andrzejewski , Y. Brihaye , C. Gonera , J. Gonera , P. Kosiński , P. Maślanka