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It is shown how quantum field theory at finite temperature can be used to set up self-consistent and gauge invariant equations for cosmological perturbations sustained by an ultrarelativistic plasma. While in the collisionless case, the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Anton K. Rebhan

We study planar noncommutative theories such that the spatial coordinates ${\hat x}_1$, ${\hat x}_2$ verify a commutation relation of the form: $[{\hat x}_1, {\hat x}_2] = i \theta ({\hat x}_1,{\hat x}_2)$. Starting from the operatorial…

High Energy Physics - Theory · Physics 2009-11-10 C. D. Fosco , G. Torroba

A proof is given for the Fourier transform for functions in a quantum mechanical Hilbert space on a non-compact manifold in general relativity. In the (configuration space) Newton-Wigner representation we discuss the spectral decomposition…

General Physics · Physics 2020-04-23 L. P. Horwitz

We analyze the spatial coherence of the electromagnetic field emitted by a half-space at temperature T close to the interface. An asymptotic analysis allows to identify three different contributions to the cross-spectral density tensor in…

Optics · Physics 2009-11-06 C. Henkel , K. Joulain , R. Carminati , J. -J. Greffet

A noncommutative and non-anticommutative quantum field theory is formulated in a superspace, in which the superspace coordinates satisfy noncommutative and non-anticommutative relations. A perturbative scalar field theory is investigated in…

High Energy Physics - Theory · Physics 2009-10-31 J. W. Moffat

A plane monochromatic wave will not appear monochromatic to a noninertial observer. We show that this feature leads to a `thermal' ambience in an accelerated frame {\it even in classical field theory}. When a real, monochromatic, mode of a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. Srinivasan , L. Sriramkumar , T. Padmanabhan

Gott spacetime has closed timelike curves, but no locally anomalous stress-energy. A complete orthonormal set of eigenfunctions of the wave operator is found in the special case of a spacetime in which the total deficit angle is $2\pi$. A…

High Energy Physics - Theory · Physics 2009-10-22 David G. Boulware

Symmetry-breaking phases in many-fermion systems are characterized by anomalous functions that represent transient processes during which some properties of free particles, such as spin or charge, are not conserved. Connecting the…

Strongly Correlated Electrons · Physics 2025-10-09 Václav Janiš , Mukesh Khanore , Antonín Klíč

We discuss the extension of dimensional reduction in thermal field theory at high temperature to real-time correlation functions. It is shown that the perturbative corrections to the leading classical behavior of a scalar bosonic field…

High Energy Physics - Phenomenology · Physics 2009-10-30 B. J. Nauta , Ch. G. van Weert

The propagator of a scalar field on a stationary slowly varying in space gravitational background is derived retaining only the second derivatives of the metric. The corresponding one-loop effective action is constructed. The propagator and…

General Relativity and Quantum Cosmology · Physics 2013-03-13 P. O. Kazinski

We reexamine physical causal propagators for scalar and pseudoscalar bound states at finite temperature in a chiral $U_L(1)\times U_R(1)$ NJL model, defined by four-point amputated functions subtracted through the gap equation, and prove…

High Energy Physics - Theory · Physics 2008-11-26 Bang-Rong Zhou

We analyze the commutation relations of light-ray operators in conformal field theories. We first establish the algebra of light-ray operators built out of higher spin currents in free CFTs and find explicit expressions for the…

High Energy Physics - Theory · Physics 2022-03-09 Gregory P. Korchemsky , Alexander Zhiboedov

We study the symmetry breaking and restoration behavior of a self-interacting charged scalar field theory under the influence of a constant electric field and finite temperature. Our study is performed in the context of the optimized…

High Energy Physics - Phenomenology · Physics 2025-01-07 William R. Tavares , Rudnei O. Ramos , Ricardo L. S. Farias , Sidney S. Avancini

The assumption that the vacuum is the minimum energy state, invariant under unitary transformations, is fundamental to quantum field theory. However, the assertion that the conservation of charge implies that the equal time commutator of…

Mathematical Physics · Physics 2008-11-20 Gerald E. Marsh

We apply the quasi-local stress-energy tensor formalism to the Casimir effect of a scalar field confined between conducting planes located in a static spacetime. We show that the surface energy vanishes for both Neumann and Dirichlet…

High Energy Physics - Theory · Physics 2022-10-07 Borzoo Nazari

I discuss the possibility of using classical field theory to approximate hot, real-time quantum field theory. I calculate, in a scalar theory, the classical two point and four point function in perturbation theory. The counterterms needed…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gert Aarts

The in-in path integral of a scalar field propagating in a fixed background is formulated in a suitable function space. The free kinetic operator, whose inverse gives the propagators of the in-in perturbation theory, becomes essentially…

High Energy Physics - Theory · Physics 2015-04-21 Ali Kaya

The asymptotic expansion of the heat-kernel for small values of its argument has been studied in many different cases and has been applied to 1-loop calculations in Quantum Field Theory. In this thesis we consider this asymptotic behavior…

Mathematical Physics · Physics 2014-10-29 Pablo Pisani

We derive norm bounds that imply the convergence of perturbation theory in fermionic quantum field theory if the propagator is summable and has a finite Gram constant. These bounds are sufficient for an application in renormalization group…

Mathematical Physics · Physics 2015-06-26 Manfred Salmhofer , Christian Wieczerkowski

We explore the spectral properties of the time-dependent Maxwell's equations for a plane interface between a metamaterial represented by the Drude model and the vacuum, which fill respectively complementary half-spaces. We construct…

Analysis of PDEs · Mathematics 2016-10-11 Maxence Cassier , Christophe Hazard , Patrick Joly
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