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General relativity can be cast as a gauge theory by introducing a tetrad field and a spin-connection. This formalism was extended by replacing the tetrad field with a mixed tensor field independent of the metric tensor in order to develop a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 E. F. Ferrari

Noether's theorem and the invariances of the Willmore functional are used to derive conservation laws that are satisfied by the critical points of the Willmore energy subject to generic constraints. We recover in particular previous results…

Differential Geometry · Mathematics 2014-09-25 Yann Bernard

The electric field of a uniformly accelerated charge shows a plane of discontinuity, where the field extending only on one side of the plane, terminates abruptly on the plane with a finite value. This indicates a non-zero divergence of the…

Classical Physics · Physics 2020-10-09 Ashok K. Singal

We present a comprehensive analysis of the implications of conformal invariance for 3-point functions of the stress-energy tensor, conserved currents and scalar operators in general dimension and in momentum space. Our starting point is a…

High Energy Physics - Theory · Physics 2019-01-01 Adam Bzowski , Paul McFadden , Kostas Skenderis

We show that the "defective" terms in the expression that Dondera [Phys. Rev. D 98, 096008 (2018)] obtained for the momentum of the retarded field of an accelerating point charge are mathematically well justified. The repair should not be…

Classical Physics · Physics 2020-06-24 V. Hnizdo , G. Vaman

New aspects of the complex sine-Gordon theory are addressed through the reformulation of the theory in terms of the gauged Wess-Zumino-Witten action. A dual transformation between the theory for the coupling constant $\b > 0$ and the theory…

High Energy Physics - Theory · Physics 2015-06-26 Q-Han Park , H. J. Shin

We begin to investigate the question of what modifications in energy-momentum tensor can yield correct MOND regime. As a starting study, we refrain from insisting on an action principle and focus exclusively on the equations of motion. The…

General Relativity and Quantum Cosmology · Physics 2014-12-17 Durmus Ali Demir , Canan Nurhan Karahan

We construct a conserved, symmetric energy-momentum (pseudo-)tensor for Chern-Simons modified gravity, thus demonstrating that the theory is Lorentz invariant. The tensor is discussed in relation to other gravitational energy-momentum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 David Guarrera , A. J. Hariton

We clarify two issues related to the so-called $D$-term in matrix elements of the energy-momentum tensor. First, we show that in a stable system, the $D$-term can have either sign, contrary to claims that it must be negative. Second, we…

High Energy Physics - Phenomenology · Physics 2023-09-21 Andrzej Czarnecki , Yizhuang Liu , Syed Navid Reza

Aspects of parity-preserving, three-dimensional conformal field theories (CFTs) with a global $U(1)$ symmetry in the presence of a background magnetic field are investigated. A local effective action is constructed to four-derivative order,…

High Energy Physics - Theory · Physics 2025-05-21 Christopher P. Herzog , William H. Pannell , Biswajit Sahoo , Andreas Stergiou

In this work we investigate the matrix elements of the energy-momentum tensor for massless on-shell states in four-dimensional unitary, local, and Poincar\'e covariant quantum field theories. We demonstrate that these matrix elements can be…

High Energy Physics - Theory · Physics 2020-12-10 Cédric Lorcé , Peter Lowdon

A consistency condition of general relativity as an effective field theory in Minkowskian background uniquely fixes the value of the cosmological constant. In two-loop calculations, including the interaction of gravitons with matter fields,…

High Energy Physics - Theory · Physics 2024-05-16 E. Epelbaum , J. Gegelia , Ulf-G. Meißner , L. Neuhaus

The perturbative approach to quantum field theory using retarded functions is extended to noncommutative theories. Unitarity as well as quantized equations of motion are studied and seen to cause problems in the case of space-time…

High Energy Physics - Theory · Physics 2009-11-10 Tobias Reichenbach

This paper is aimed to elaborate the problem of energy-momentum in General Relativity. In this connection, we use the prescriptions of Einstein, Landau-Lifshitz, Papapetrou and M\"{o}ller to compute the energy-momentum densities for two…

General Relativity and Quantum Cosmology · Physics 2014-11-17 M. Sharif , Tasnim Fatima

The standard calculation of vacuum energy or zero point energy is in strong disagreement with observation. We suggest that this discrepancy is caused by the incomplete quantization of standard field theory. The vacuum energy calculation for…

General Physics · Physics 2012-09-24 Jan M. Greben

We present a general framework where the effective field theory of single field inflation is extended by the inclusion of operators with mass dimension 3 and 4 in the unitary gauge. These higher dimensional operators introduce quartic and…

High Energy Physics - Theory · Physics 2018-03-06 Amjad Ashoorioon , Roberto Casadio , Michele Cicoli , Ghazal Geshnizjani , Hyung J. Kim

We discuss the structure of 2D conformal field theories (CFT) at central charge c=0 describing critical disordered systems, polymers and percolation. We construct a novel extension of the c=0 Virasoro algebra, characterized by a number b…

Disordered Systems and Neural Networks · Physics 2015-06-25 V. Gurarie , A. W. W. Ludwig

We construct a generalization of the cyclic $\lambda$-deformed models of \cite{Georgiou:2017oly} by relaxing the requirement that all the WZW models should have the same level $k$. Our theories are integrable and flow from a single UV point…

High Energy Physics - Theory · Physics 2020-09-11 George Georgiou , Georgios P. D. Pappas , Konstantinos Sfetsos

We construct the gravitational energy-momentum tensor in general relativity through the Noether theorem. In particular, we explicitly demonstrate that the constructed quantity can vary as a tensor under the general coordinate…

General Relativity and Quantum Cosmology · Physics 2016-01-20 Kazuharu Bamba , Katsutaro Shimizu

We confront Cardy's suggested c-function for four-dimensional field theories with the spontaneous breaking of chiral symmetries in asymptotically free vectorlike gauge theories with fermions transforming according to different…

High Energy Physics - Theory · Physics 2009-11-07 R. D. Ball , P. H. Damgaard