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An exact representation of the Euclidean fermion determinant in two dimensions for centrally symmetric, finite-ranged Abelian background fields is derived. Input data are the wave function inside the field's range and the scattering phase…

High Energy Physics - Theory · Physics 2009-11-10 M. P. Fry

We have studied free higher spin gauge fields through an investigation of their Hamiltonian dynamics. Over a flat space-time, their Hamiltonian constraints were identified and solved through the introduction of prepotentials, enjoying both…

Mathematical Physics · Physics 2017-10-04 Amaury Leonard

The Ashtekar-Barbero-Immirzi formulation of General Relativity is extended to include spinor matter fields. Our formulation applies to generic values of the Immirzi parameter and reduces to the Ashtekar-Romano-Tate approach when the Immirzi…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Simone Mercuri

This work deals with new classes of spinors of mass dimension one in Minkowski spacetime. In order to accomplish it, the Lounesto classification scheme and the inversion theorem are going to be used. The algebraic framework shall be…

High Energy Physics - Theory · Physics 2015-06-19 C. H. Coronado Villalobos , J. M. Hoff da Silva , Roldao da Rocha

We consider a self-consistent axially symmetric system supported by a classical nonlinear spinor field minimally coupled to electric and magnetic Maxwell fields. The presence of the nonlinearity of the spinor field ensures the existence of…

High Energy Physics - Theory · Physics 2023-10-03 Vladimir Dzhunushaliev , Vladimir Folomeev

We study a complex Dirac field in the chiral representation minimally coupled to gravity in 3+1 dimensions in the context of Einstein-Cartan theory. Generically the matter content gravitates in two different ways: On the one hand, the…

General Relativity and Quantum Cosmology · Physics 2015-03-12 Adolfo Toloza

We investigate the possibility to construct a generalization of the Standard Model, which we call the Maximal Mass Model because it contains a limiting mass $M$ for its fundamental constituents. The parameter $M$ is considered as a new…

High Energy Physics - Phenomenology · Physics 2012-07-24 V. G. Kadyshevsky , M. D. Mateev , V. N. Rodionov , A. S. Sorin

We first exhibit in the commutative case the simple algebraic relations between the algebra of functions on a manifold and its infinitesimal length element $ds$. Its unitary representations correspond to Riemannian metrics and Spin…

High Energy Physics - Theory · Physics 2009-10-30 A. Connes

We study the Fermi level structure of (2+1)-dimensional strongly interacting electron systems in external magnetic field using the AdS/CFT correspondence. The gravity dual of a finite density fermion system is a Dirac field in the…

High Energy Physics - Theory · Physics 2015-06-15 E. Gubankova , J. Brill , M. Cubrovic , K. Schalm , P. Schijven , J. Zaanen

We extend the recently developed kinematical framework for diffeomorphism invariant theories of connections for compact gauge groups to the case of a diffeomorphism invariant quantum field theory which includes besides connections also…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Thomas Thiemann

We study static configurations of dark matter coupled to a scalar field responsible for the dark energy of the Universe. The dark matter is modelled as a Fermi gas within the Thomas-Fermi approximation. The mass of the dark matter particles…

Astrophysics · Physics 2009-11-13 N. Brouzakis , N. Tetradis

A model for the Universe is proposed whose constituents are: (a) a dark energy field modeled by a fermionic field non-minimally coupled with the gravitational field, (b) a matter field which consists of pressureless baryonic and dark matter…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. O. Ribas , F. P. Devecchi , G. M. Kremer

We extend ideas developed for the loop representation of quantum gravity to diffeomorphism-invariant gauge theories coupled to fermions. Let P -> Sigma be a principal G-bundle over space and let F be a vector bundle associated to P whose…

High Energy Physics - Theory · Physics 2015-06-26 John C. Baez , Kirill V. Krasnov

In the de Sitter ambient space formalism the massless fields, which include the linear gravity and massless minimally coupled scalar field, can be written in terms of two separate parts: a massless conformally coupled scalar field and a…

General Relativity and Quantum Cosmology · Physics 2017-12-29 M. V. Takook

A concise description is presented of the basic features of the formalism of non-canonical spacetime volume-forms and its application in modified gravity theories and cosmology. The well known unimodular gravity theory appears as a very…

General Relativity and Quantum Cosmology · Physics 2021-01-08 David Benisty , Eduardo I. Guendelman , Alexander Kaganovich , Emil Nissimov , Sventlana Pacheva

In this article, we propose different background models of extended theories of gravity, which are minimally coupled to the SM fields, to explain the possibility of genesis of dark matter without affecting the SM particle sector. We modify…

High Energy Physics - Phenomenology · Physics 2016-09-14 Sayantan Choudhury , Manibrata Sen , Soumya Sadhukhan

We study the Fermi level structure of 2+1-dimensional strongly interacting electron systems in external magnetic field using the AdS/CFT correspondence. The gravity dual of a finite density fermion system is a Dirac field in the background…

High Energy Physics - Theory · Physics 2013-05-29 E. Gubankova , J. Brill , M. Cubrovic , K. Schalm , P. Schijven , J. Zaanen

We consider the torsional completion of gravity with electrodynamics for Dirac matter fields; we will see that these Dirac matter field equations will develop torsionally-induced non-linear interactions, which can be manipulated in order to…

General Relativity and Quantum Cosmology · Physics 2014-10-07 Luca Fabbri

A local supersymmetric action for a (2+1)-dimensional system including gravity, the electromagnetic field and a Dirac spin-1/2 field is presented. The action is a Chern-Simons form for a connection of the OSp(2|2) group. All the fields…

High Energy Physics - Theory · Physics 2015-05-30 Pedro D. Alvarez , Mauricio Valenzuela , Jorge Zanelli

The classical probe dynamics of the eleven-dimensional massless superparticles in the background geometry produced by N source M-momenta is investigated in the framework of N-sector DLCQ supergravity. We expand the probe action up to the…

High Energy Physics - Theory · Physics 2016-08-25 Seungjoon Hyun , Youngjai Kiem , Hyeonjoon Shin