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We consider conformally invariant form of the actions in Einstein, Weyl, Einstein-Cartan and Einstein-Cartan-Weyl space in general dimensions($>2$) and investigate the relations among them. In Weyl space, the observational consistency…

General Relativity and Quantum Cosmology · Physics 2010-11-23 Tae Yoon Moon , Joohan Lee , Phillial Oh

We study the physical consequences of two diffferent but closely related perturbation schemes applied to the Einstein-Maxwell equations. In one case the starting space-time is flat while in the other case it is Schwarzschild. In both cases…

General Relativity and Quantum Cosmology · Physics 2009-02-09 T. M. Adamo , E. T. Newman

We consider the Lagrangian density for a free Maxwell field, in which the electromagnetic field tensor minimally couples to the affine connection, in the Einstein-Cartan-Sciama-Kibble theory of gravity. We derive the formulae for the…

General Relativity and Quantum Cosmology · Physics 2011-10-06 Nikodem J. Poplawski

Within a spin-gauge theory of gravity unified with the electroweak interaction we start with totally symmetric left- and right-handed fermions and explain the parity violation by symmetry breaking in such a way that the $W^{\pm}$-bosons…

General Relativity and Quantum Cosmology · Physics 2010-11-11 A. Geitner , H. Dehnen

Possible geometric frameworks for a unified theory of gravity and electromagnetism are investigated: General relativity is enlarged by allowing for an arbitrary complex linear connection and by constructing an extended spinor derivative…

High Energy Physics - Theory · Physics 2007-05-23 Kenichi Horie

Evans developed a classical unified field theory of gravitation and electromagnetism on the background of a spacetime obeying a Riemann-Cartan geometry. In an accompanying paper I, we analyzed this theory and summarized it in nine…

Classical Physics · Physics 2008-11-26 Friedrich W. Hehl , Yuri N. Obukhov

In recent work minimal theories allowing the variation of the cosmological constant by means of a balancing torsion, have been proposed. It was found that such theories contain parity violating homogeneous and isotropic solutions, due to a…

General Relativity and Quantum Cosmology · Physics 2021-12-21 Stephon Alexander , Leah Jenks , Pavel Jiroušek , João Magueijo , Tom Złośnik

The "parity" anomaly -- more accurately described as an anomaly in time-reversal or reflection symmetry -- arises in certain theories of fermions coupled to gauge fields and/or gravity in a spacetime of odd dimension. This anomaly has…

High Energy Physics - Theory · Physics 2016-12-07 Edward Witten

This paper develops a detailed lattice-continuum correspondence for all common examples of Abelian gauge theories, with and without matter. These rules for extracting a continuum theory out of a lattice one represent an elementary way to…

High Energy Physics - Theory · Physics 2021-08-31 Djordje Radicevic

We show that the parametric resonance of gravitational waves occurs due to the axion coherent oscillation and the circular polarization of gravitational waves is induced by the Chern-Simons coupling. However, we have never observed these…

General Relativity and Quantum Cosmology · Physics 2018-07-06 Daiske Yoshida , Jiro Soda

We generalize Einstein's General Relativity (GR) by assuming that all matter (including macro-objects) has quantum effects. An appropriate theory to fulfill this task is Gauge Theory Gravity (GTG) developed by the Cambridge group. GTG is a…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Da-Ming Chen

The starting point of this work is the original Einstein action, sometimes called the Gamma squared action. Continuing from our previous results, we study various modified theories of gravity following the Palatini approach. The metric and…

General Relativity and Quantum Cosmology · Physics 2023-09-29 Christian G. Boehmer , Erik Jensko

A class of theories of gravitation that naturally incorporates preferred frames of reference is presented. The underlying space-time geometry consists of a partial parallelization of space-time and has properties of Riemann-Cartan as well…

General Relativity and Quantum Cosmology · Physics 2015-06-25 C. Kohler

A cosmological gauge field with isotropic stress-energy introduces parity violation into the behavior of gravitational waves. We show that a primordial spectrum of inflationary gravitational waves develops a preferred handedness, left- or…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-10 Jannis Bielefeld , Robert R. Caldwell

This paper undertakes a study of the nature of the force associated with the local U (1) gauge symmetry of a non-relativistic quantum particle. To ensure invariance under local U (1) symmetry, a matter field must couple to a gauge field. We…

Mathematical Physics · Physics 2008-03-05 V. Colussi , S. Wickramasekara

In this work I show by a first principles calculation that quantum states describing massive relativistic free spinning particles obey kinematical conditions whose origin can be traced to parity as a good quantum number. These conditions…

High Energy Physics - Phenomenology · Physics 2022-12-05 Mauro Napsuciale

The interaction of fermion spin with spacetime can be non-universal, leading to a new interaction beyond the Standard Model, independent of gravitation. Fermions generate spacetime torsion, which can be integrated out in favor of a…

High Energy Physics - Phenomenology · Physics 2024-06-03 Arnab Chakraborty , Amitabha Lahiri

Within the context of a $5D$ space-time, we construct a unified theory of gravity and electromagnetism from which the Einstein field equations and Maxwell equations emerge, with homogenous Maxwell equations appearing naturally. We also…

General Relativity and Quantum Cosmology · Physics 2010-06-17 A. Borzou , H. R. Sepangi

Unconventional lattice fermions with high degeneracies beyond Weyl and Dirac fermions have attracted intensive attention in recent years. In this paper, attention is drawn to the pseudospin-1 Maxwell fermions and the $(2+1)$ dimensional…

Strongly Correlated Electrons · Physics 2020-08-26 Jiang Zhou , Xiaosi Qi , Yajie Wu , Su-Peng Kou

In this work a tetrad theory of gravity, invariant under conformal transformations, is investigated. The action of the theory is similar to the action of Maxwell's electromagnetism. The role of the electromagnetic gauge potential is played…

General Relativity and Quantum Cosmology · Physics 2012-06-28 J. W. Maluf , F. F. Faria