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We discuss the different possibilities of constructing the various energy-momentum tensors for noncommutative gauge field models. We use Jackiw's method in order to get symmetric and gauge invariant stress tensors--at least for commutative…

High Energy Physics - Theory · Physics 2009-11-07 J. M. Grimstrup , B. Kloiböck , L. Popp , V. Putz , M. Schweda , M. Wickenhauser

We derive the variational principle and Noether's theorem in generally covariant field theory in an explicitly coordinate-independent way by means of the exterior calculus over the space-time manifold. We then focus on the symmetry of…

General Relativity and Quantum Cosmology · Physics 2014-04-10 Ermis Mitsou

It is well-known that Noether currents in the classical four-dimensional $\mathcal{N}=1$ supersymmetric Yang--Mills theory (4D $\mathcal{N}=1$ SYM), i.e., the $U(1)_A$ current, the supersymmetry (SUSY) current and the energy-momentum…

High Energy Physics - Lattice · Physics 2015-06-11 Hiroshi Suzuki

We consider a quantum spinless nonrelativistic charged particle moving in the $xy$ plane under the action of a time-dependent magnetic field, described by means of the linear vector potential ${\bf A}=B(t)\PG{-y(1+\alpha),x(1-\alpha)}/2$,…

Quantum Physics · Physics 2021-11-30 V. V. Dodonov , M. B. Horovits

Energy momentum tensor of a quantized massless bulk spin-$\frac{1}{2}$ field in five dimensional warped cosmological spacetimes is studied. The four dimensional part of our model represents a warped cosmological thick brane and the scale of…

General Relativity and Quantum Cosmology · Physics 2020-08-25 Suman Ghosh

We derive maps relating the currents and energy-momentum tensors in noncommutative (NC) gauge theories with their commutative equivalents. Some uses of these maps are discussed. Especially, in NC electrodynamics, we obtain a generalization…

High Energy Physics - Theory · Physics 2007-05-23 Rabin Banerjee , Choonkyu Lee , Hyun Seok Yang

We construct the energy-momentum tensor for the gauge fields which describe the collective excitations of the quark-gluon plasma. We rely on the description of the collective modes that we have derived in previous works. By using the…

High Energy Physics - Phenomenology · Physics 2011-07-19 Jean-Paul Blaizot , Edmond Iancu

In this paper, we define energy-momentum density as a product of the complex vector electromagnetic field and its complex conjugate. We derive an equation for the spacetime derivative of the energy-momentum density. We show that the scalar…

Classical Physics · Physics 2008-07-10 Quirino M. Sugon , Daniel J. McNamara

Discussions are made on the relationship between physical states and gauge independence in QED. As the first candidate take the LSZ-asymptotic states in a covariant canonical formalism to investigate gauge independence of the (Belinfante's)…

High Energy Physics - Theory · Physics 2009-10-30 Taro Kashiwa , Naoki Tanimura

M\o ller's Tetrad Theory of Gravitation is examined with regard to the energy-momentum complex. The energy-momentum complex as well as the superpotential associated with M\o ller's theory are derived. M\o ller's field equations are solved…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. I. Mikhail , M. I. Wanas , Ahmed Hindawi , E. I. Lashin

Within the Lagrange formalism we show that the gauge invariant total energy-momentum tensor for gravitational interactions is zero. If the equations of motion are satisfied the energy tensor is conserved.

Mathematical Physics · Physics 2007-05-23 Walter Wyss

A purely algebraic construction of super-energy tensors for arbitrary fields is presented in any dimensions. These tensors have good mathematical and physical properties, and they can be used in any theory having as basic arena an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. M. M. Senovilla

On $Spin^c$ manifolds, we study the Energy-Momentum tensor associated with a spinor field. First, we give a spinorial Gauss type formula for oriented hypersurfaces of a $Spin^c$ manifold. Using the notion of generalized cylinders, we derive…

Differential Geometry · Mathematics 2015-05-20 Roger Nakad

We investigate the energy of a theory with a unit vector field (the "aether") coupled to gravity. Both the Weinberg and Einstein type energy-momentum pseudotensors are employed. In the linearized theory we find expressions for the energy…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Christopher Eling

Expressions for the quantum fluctuations of energy density have been derived for the subsystems consisting of hot relativistic gas of particles with spin-$\frac{1}{2}$ and mass $m$. Our expressions for the fluctuation depend on the form of…

Quantum Physics · Physics 2021-11-10 Rajeev Singh

Differential conservation laws in Lagrangian field theory are usually related to symmetries of a Lagrangian density and are obtained if the Lie derivative of a Lagrangian density by a certain class of vector fields on a fiber bundle…

General Relativity and Quantum Cosmology · Physics 2008-02-03 G. Giachetta , G. Sardanashvily

We derive a generalized Minkowski Energy Momentum Tensor for a monochromatic wave in a lossless medium exhibiting temporal and spatial dispersion. The Energy Momentum Tensor is then related to familiar expressions for energy density and…

General Physics · Physics 2016-04-11 Chris Fietz

Vacuum expectation values of the energy-momentum tensor for a conformally coupled scalar field is investigated in de Sitter (dS) spacetime in presence of a curved brane on which the field obeys the Robin boundary condition with coordinate…

High Energy Physics - Theory · Physics 2009-11-10 A. A. Saharian , M. R. Setare

Axion electrodynamics is based upon the Lagrangian of the electromagnetic (EM) field plus its interaction with the axions, and is accordingly a physically open system. It means that the four-divergence of the EM energy-momentum tensor is…

High Energy Physics - Phenomenology · Physics 2022-11-01 Iver H. Brevik , Moshe M. Chaichian

The aim of this paper is to present a comprehensive theory of spintronics phenomena based on the concept of effective gauge field, the spin gauge field. An effective gauge field generally arises when we change a basis to describe system and…

Mesoscale and Nanoscale Physics · Physics 2018-12-04 Gen Tatara