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The construction of a gauge field theory for elementary particles usually starts by promoting global invariance of the matter action to a local one, this in turn implying the introduction of gauge fields. We present here a procedure that…

Mathematical Physics · Physics 2011-10-19 C. A. Garcia Canal , F. A. Schaposnik

A new formalism for spinors on curved spaces is developed in the framework of variational calculus on fibre bundles. The theory has the same structure of a gauge theory and describes the interaction between the gravitational field and…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Lorenzo Fatibene , Marco Ferraris , Mauro Francaviglia , Marco Godina

We show that a spin-$5/2$ field can be consistently coupled to gravitation without cosmological constant in five-dimensional spacetimes. The fermionic gauge "hypersymmetry" requires the presence of a finite number of additional fields,…

High Energy Physics - Theory · Physics 2020-07-01 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso

We consider a nonlinear generalization of Cauchy-Riemann eqs. to the algebra of biquaternions. From here we come to "universal generating equations" (1) which deal with 2-spinor and gauge fields and form the basis of some unified algebraic…

General Relativity and Quantum Cosmology · Physics 2019-07-25 V. V. Kassandrov , J. A. Rizcalla

The interaction of matter with gravity in two dimensional spacetimes can be supplemented with a geometrical force analogous to a Lorentz force produced on a surface by a constant perpendicular magnetic field. In the special case of constant…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Daniel Cangemi

We reexamine canonical quantization of the gauged Rarita-Schwinger theory using the extended theory, incorporating a dimension $\frac{1}{2}$ auxiliary spin-$\frac{1}{2}$ field $\Lambda$, in which there is an exact off-shell gauge…

High Energy Physics - Theory · Physics 2017-12-19 Stephen L. Adler , Marc Henneaux , Pablo Pais

The idea of gauge theories of gravity predicts that there should exist not only the massless graviton but also massive particles carrying the gravitational force. We study the cosmology in a quadratic gravity with dynamical torsion where…

High Energy Physics - Theory · Physics 2020-06-17 Katsuki Aoki , Shinji Mukohyama

We show that the Wigner equations describing the continuous spin representations can be obtained as a limit of massive higher-spin field equations. The limit involves a suitable scaling of the wave function, the mass going to zero and the…

High Energy Physics - Theory · Physics 2009-11-11 X. Bekaert , J. Mourad

In this work we present the general differential geometry of a background in which the space-time has both torsion and curvature with internal symmetries being described by gauge fields, and that is equipped to couple spinorial matter…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Luca Fabbri

We discuss the classical continuum limit of the string field theory dual to the $\mathrm{SU}(N)$ lattice gauge theory and investigate various fundamental phenomena in the continuum theory at the mean-field level. Our construction of the…

High Energy Physics - Theory · Physics 2025-04-08 Kiyoharu Kawana

We study gauge theories of background fields associated to BRST quantized spinning particle models and identify background-independent algebraic structures which allow to systematically reduce the spectrum of fields and subject some of them…

High Energy Physics - Theory · Physics 2023-01-03 Maxim Grigoriev , Adiel Meyer , Ivo Sachs

We review our recent exact solution to four-dimensional higher spin gauge theory invariant under a higher spin extension of SO(3,1) and we comment on its cosmological interpretation. We find an effective Einstein-scalar field theory that…

High Energy Physics - Theory · Physics 2007-05-23 E. Sezgin , P. Sundell

A description of motion is proposed, adapted to the composite bundle interpretation of Poincar\'e Gauge Theory. Reference frames, relative positions and time evolution are characterized in gauge-theoretical terms. The approach is…

General Relativity and Quantum Cosmology · Physics 2014-03-21 Romualdo Tresguerres

We consider a supersymmetric extension of quantum gauge theory based on a vector multiplet containing supersymmetric partners of spin 3/2 for the vector fields. The constructions of the model follows closely the usual construction of gauge…

High Energy Physics - Theory · Physics 2009-11-07 Dan Radu Grigore , Gunter Scharf

During the last five decades, gravity, as one of the fundamental forces of nature, has been formulated as a gauge theory of the Weyl-Cartan-Yang-Mills type. The present text offers commentaries on the articles from the most prominent…

General Relativity and Quantum Cosmology · Physics 2022-05-10 Milutin Blagojević , Friedrich W. Hehl

The Poincar\'e gauge gravity (PGG) with the underlying vector fields of tetrads and spin-connections is perhaps the best theory candidate for gravitation to be unified with the other three elementary forces of nature. There is a clear…

General Relativity and Quantum Cosmology · Physics 2017-05-03 J. L. Chkareuli

We present a simple unifying gauge theoretical formulation of gravitational theories in two dimensional spacetime. This formulation includes the effects of a novel matter-gravity coupling which leads to an extended de Sitter symmetry…

High Energy Physics - Theory · Physics 2009-10-22 Daniel Cangemi , Gerald Dunne

We derive Einstein's equations from a linear theory in flat space-time using free-field gauge invariance and universal coupling. The gravitational potential can be either covariant or contravariant and of almost any density weight. We adapt…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. Brian Pitts , W. C. Schieve

Powerful general arguments allow only a few families of long-range interactions, exemplified by gauge field theories of electromagnetism and gravity. However, all of these arguments presuppose that massless fields have zero spin scale…

High Energy Physics - Theory · Physics 2023-04-07 Philip Schuster , Natalia Toro , Kevin Zhou

We develop a gauge theory for diffusive and precessional spin dynamics in two-dimensional electron gas with disorder. Our approach reveals a direct connections between the absence of the equilibrium spin current and strong anisotropy in the…

Other Condensed Matter · Physics 2010-05-19 I. V. Tokatly , E. Ya. Sherman
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