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For the general theory of nonlinear electrodynamics (NLED), we prove that causality implies both the Dominant Energy Condition (DEC) and, surprisingly, the Strong Energy Condition (SEC). This has implications for gravitational applications,…

High Energy Physics - Theory · Physics 2024-04-16 Jorge G. Russo , Paul K. Townsend

Classical Electrodynamics is not a consistent theory because of its field inadequate behaviour in the vicinity of their sources. Its problems with the electron equation of motion and with non-integrable singularity of the electron self…

High Energy Physics - Theory · Physics 2008-02-03 Manoelito M. de Souza

The averaged null energy condition (ANEC) requires that the integral over a complete null geodesic of the stress-energy tensor projected onto the geodesic tangent vector is never negative. This condition is sufficient to prove many…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Noah Graham , Ken D. Olum

The Quantum Null Energy Condition (QNEC) is a new local energy condition that a general Quantum Field Theory (QFT) is believed to satisfy, relating the classical null energy condition (NEC) to the second functional derivative of the…

High Energy Physics - Theory · Physics 2018-07-04 Christian Ecker , Daniel Grumiller , Wilke van der Schee , Philipp Stanzer

In this work, we develop the Raychaudhuri equation in $f(\bar{R},\bar{T})$ gravity in the setting of a non-canonical theory, namely K-essence theory. We solve the modified Raychaudhuri equation for the additive form of $f(\bar{R},\bar{T})$,…

General Relativity and Quantum Cosmology · Physics 2025-06-06 Arijit Panda , Debashis Gangopadhyay , Goutam Manna

We establish a connection between the averaged null energy condition (ANEC) and the monotonicity of the renormalization group, by studying the light-ray operator $\int du T_{uu}$ in quantum field theories that flow between two conformal…

High Energy Physics - Theory · Physics 2023-09-27 Thomas Hartman , Grégoire Mathys

The vacuum Einstein equations admit a formulation closely analogous to the source-free Maxwell theory. In particular, the linearized equations exhibit an electric-magnetic duality symmetry. We develop a framework that makes this analogy…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Adrian del Rio , Javier Olmedo , António Torres Manso

We study a possibility of anisotropic scale invariant cosmology. It is shown that within the conventional Einstein gravity, the violation of the null energy condition is necessary. We construct an example based on a ghost condensation model…

High Energy Physics - Theory · Physics 2011-03-04 Yu Nakayama

Considering the nonlinear electromagnetic field coupled to Einstein gravity in the presence of cosmological constant, we obtain a new class of $d$-dimensional magnetic brane solutions. This class of solutions yields a spacetime with a…

High Energy Physics - Theory · Physics 2014-11-21 Seyed Hossein Hendi

We study effective field theories (EFTs) enjoying (maximal) biform symmetries. These are defined by the presence of a conserved (electric) current that has the symmetries of a Young tableau with two columns of equal length. When these…

High Energy Physics - Theory · Physics 2023-03-22 Kurt Hinterbichler , Diego M. Hofman , Austin Joyce , Grégoire Mathys

We revisit the question of whether classical general relativity obeys, beyond the linearised order, an analogue of the global U(1) electric-magnetic duality of Maxwell theory, with the Riemann tensor playing the role analogous to the field…

High Energy Physics - Theory · Physics 2024-05-02 Ricardo Monteiro

Considerable interest has recently been expressed regarding the issue of whether or not quantum field theory on a fixed but curved background spacetime satisfies the averaged null energy condition (ANEC). A comment by Wald and Yurtsever…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Matt Visser

We construct a gravity dual for scale invariant but non-conformal field theories with a cyclic renormalization group flow. A slight modification of our construction gives a gravity dual of discretely scale invariant field theories. The…

High Energy Physics - Theory · Physics 2012-02-07 Yu Nakayama

We examine the averaged null energy condition~(ANEC) for strongly coupled fields, along the event horizon of an evaporating black hole by using the AdS/CFT duality. First, we consider a holographic model of a $3$-dimensional evaporating…

High Energy Physics - Theory · Physics 2022-04-13 Akihiro Ishibashi , Kengo Maeda

We review extensions of the AdS/CFT correspondence to gauge/ gravity dualities with N=1 supersymmetry. In particular, we describe the gauge/gravity dualities that emerge from placing D3-branes at the apex of the conifold. We consider first…

High Energy Physics - Theory · Physics 2007-05-23 Christopher P. Herzog , Igor R. Klebanov , Peter Ouyang

We provide a unified treatment of electric-magnetic duality, at the action level and with manifest Lorentz invariance, for massive, massless as well as partially-massless gravitons propagating in maximally symmetric spacetimes of any…

High Energy Physics - Theory · Physics 2018-07-13 Nicolas Boulanger , Andrea Campoleoni , Ignacio Cortese

Recently, Larry Ford and Tom Roman have discovered that in a flat cylindrical space, although the stress-energy tensor itself fails to satisfy the averaged null energy condition (ANEC) along the (non-achronal) null geodesics, when the…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Ulvi Yurtsever

We exploit the AdS/CFT correspondence to investigate thermalization in an N=2 strongly coupled gauge theory including massless fundamental matter (quark). More precisely, we consider the response of a zero temperature state of the gauge…

High Energy Physics - Theory · Physics 2016-06-29 S. Amiri-Sharifi , M. Ali-Akbari , A. Kishani-Farahani , N. Shafie

We prove the Quantum Null Energy Condition (QNEC), a lower bound on the stress tensor in terms of the second variation in a null direction of the entropy of a region. The QNEC arose previously as a consequence of the Quantum Focussing…

High Energy Physics - Theory · Physics 2016-01-20 Raphael Bousso , Zachary Fisher , Jason Koeller , Stefan Leichenauer , Aron C. Wall

We prove a conjectured lower bound on $\left< T_{--}(x) \right>_\psi$ in any state $\psi$ of a relativistic QFT dubbed the Quantum Null Energy Condition (QNEC). The bound is given by the second order shape deformation, in the null…

High Energy Physics - Theory · Physics 2020-03-04 Srivatsan Balakrishnan , Thomas Faulkner , Zuhair U. Khandker , Huajia Wang