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A manifestly gauge invariant formulation of the coupling of the Maxwell theory with an Einstein Cartan geometry is given, where the space time torsion originates from a massless Kalb-Ramond field augmented by suitable U(1) Chern Simons…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Parthasarathi Majumdar , Soumitra SenGupta

The possibility of parity violation in a gravitational theory with torsion is extensively explored in four and higher dimensions. In the former case,we have listed our conclusions on when and whether parity ceases to be conserved, with both…

High Energy Physics - Theory · Physics 2009-11-07 Biswarup Mukhopadhyaya , Somasri Sen , Soumitra SenGupta , Saurabh Sur

In a consistent heterotic string theory, the Kalb-Ramond field, which is the source of spacetime torsion, is augmented by Yang-Mills and gravitational Chern-Simons terms. When compactified to 4-dimensions and in the field theory limit, such…

High Energy Physics - Theory · Physics 2011-05-25 Srijit Bhattacharjee , Ayan Chatterjee

In a space-time with torsion, the action for the gravitational field can be extended with a parity-violating piece. We show how to obtain such a piece from geometry itself, by suitably modifying the affine connection so as to include a…

High Energy Physics - Theory · Physics 2011-08-17 Biswarup Mukhopadhyaya , Soumitra Sengupta

We study the consequences of spacetime torsion coexisting with gravity in the bulk in scenarios with large extra dimensions. Having linked torsion with the Kalb-Ramond antisymmetric tensor field arising in string theories, we examine its…

High Energy Physics - Phenomenology · Physics 2009-11-07 Biswarup Mukhopadhyaya , Somasri Sen , Soumitra SenGupta

A variant of an earlier proposal by the author and SenGupta, to describe four dimensional Maxwell electrodynamics in Einstein-Cartan spacetimes through a Kalb-Ramond field as an intermediary, is shown to lead to a new Maxwell-Kalb-Ramond…

High Energy Physics - Theory · Physics 2009-11-07 Parthasarathi Majumdar

We study parity violation in $2+1$-dimensional gauge theories coupled to massive fermions. Using the $\zeta$-function regularization approach we evaluate the ground state fermion current in an arbitrary gauge field background, showing that…

High Energy Physics - Theory · Physics 2015-06-26 R. E. Gamboa Saravi , G. L. Rossini , F. A. Schaposnik

Gauge fields are described on an Riemann-Cartan space-time by means of tensor-valued differential forms and exterior calculus. It is shown that minimal coupling procedure leads to a gauge invariant theory where gauge fields interact with…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Alberto Saa

We consider in detail the problem of gauge dependence that exists in relativistic perturbation theory, going beyond the linear approximation and treating second and higher order perturbations. We first derive some mathematical results…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Marco Bruni , Sabino Matarrese , Silvia Mollerach , Sebastiano Sonego

Gravitational wave physics can probe theories that extend beyond General Relativity. Motivated by the attention on the Kalb-Ramond field as a dark matter candidate, in this work, we study a parity violating dimension four operator which…

General Relativity and Quantum Cosmology · Physics 2025-10-30 Tucker Manton , Stephon Alexander

One of the interesting features about field theories in odd dimensions is the induction of parity violating terms and well-defined {\em finite} topological actions via quantum loops if a fermion mass term is originally present and…

High Energy Physics - Theory · Physics 2015-06-26 R. Delbourgo , A. B. Waites

Static spherically symmetric solution in a background spacetime with torsion is derived explicitly. The torsion considered here is identified with the field strength of a second rank antisymmetric tensor field namely the Kalb-Ramond field…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Soumitra SenGupta , Saurabh Sur

We draw attention to a novel type of geometric gauge invariance relating the autoparallel equations of motion in different Riemann-Cartan spacetimes with each other. The novelty lies in the fact that the equations of motion are invariant…

General Relativity and Quantum Cosmology · Physics 2011-03-17 H. Kleinert , A. Pelster

By calculating the Newman-Penrose Weyl tensor components of a perturbed spherically symmetric space-time with respect to invariantly defined classes of null tetrads, we give a physical interpretation, in terms of gravitational radiation, of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Brien C. Nolan

It is well-known that parity symmetry is broken in the weak interaction but conserved for Einstein's general relativity and Maxwell's electromagnetic theory. Nevertheless, parity symmetry could also be violated in the…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Hao-Jie Lin , Tao Zhu , Shao-Jun Zhang , Anzhong Wang

Chern-Simons modified gravity is an effective extension of general relativity that captures leading-order, gravitational parity violation. Such an effective theory is motivated by anomaly cancelation in particle physics and string theory.…

High Energy Physics - Theory · Physics 2015-05-13 Stephon Alexander , Nicolas Yunes

It is shown that the violation of unitarity observed in space/time noncommutative field theories is due to an improper definition of quantum field theory on noncommutative spacetime.

High Energy Physics - Theory · Physics 2009-01-27 D. Bahns , S. Doplicher , K. Fredenhagen , G. Piacitelli

Recently, gravitational gauge theories with torsion have been discussed by an increasing number of authors from a classical as well as from a quantum field theoretical point of view. The Einstein-Cartan(-Sciama-Kibble) Lagrangian has been…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Peter Baekler , Friedrich W. Hehl

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

Violation of unitarity for noncommutative field theory on compact space-times is considered. Although such theories are free of ultraviolet divergences, they still violate unitarity while in a usual field theory such a violation occurs when…

High Energy Physics - Theory · Physics 2009-01-07 M. Chaichian , A. Demichev , P. Presnajder , A. Tureanu
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