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The retarded Green function for linear field perturbations of black hole spacetimes is notoriously difficult to calculate. One of the difficulties is due to a Dirac-$\delta$ divergence that the Green function possesses when the two…

General Relativity and Quantum Cosmology · Physics 2019-11-27 Marc Casals , Brien C. Nolan , Adrian C. Ottewill , Barry Wardell

This is a short review on the thermal, spectral representation in the real-time version of the finite temperature quantum field theory. After presenting a clear derivation of the spectral representation, we discuss the properties of its…

High Energy Physics - Theory · Physics 2007-05-23 Sourav Sarkar , B. K. Patra , V. J. Menon , S. Mallik

A variational formulation for the calculation of interacting fermion systems based on the density-matrix functional theory is presented. Our formalism provides for a natural integration of explicit many-particle effects into standard…

Strongly Correlated Electrons · Physics 2013-05-29 Peter E. Bloechl , Christian F. J. Walther , Thomas Pruschke

Explicit solution of a Green function in a non-renormalizable toy model demonstrates that Green functions of the interacting theory fall off much faster than at the tree level at large momenta. This suggests a method of calculations in…

High Energy Physics - Theory · Physics 2007-07-03 H. S. Sharatchandra

The progress of the last decade in perturbative quantum field theory at high temperature and density made possible by the use of effective field theories and hard-thermal/dense-loop resummations in ultrarelativistic gauge theories is…

High Energy Physics - Phenomenology · Physics 2010-01-15 Ulrike Kraemmer , Anton Rebhan

We present a systematic semiclassical procedure to compute the partition function for scalar field theories at finite temperature. The central objects in our scheme are the solutions of the classical equations of motion in imaginary time,…

High Energy Physics - Phenomenology · Physics 2010-02-03 A. Bessa , C. A. A. de Carvalho , E. S. Fraga , F. Gelis

The equivalence between thermal field theory and the Boltzmann transport equation is investigated at higher orders in the context of quantum electrodynamics. We compare the contributions obtained from the collisionless transport equation…

High Energy Physics - Theory · Physics 2015-03-04 F. T. Brandt , R. B. Ferreira , J. F. Thuorst

Using Wigner transforms of Green functions, we discuss non-equilibrium generalizations of spectral functions and occupation numbers. We develop methods for computing time-dependent spectral functions in conformal field theories…

High Energy Physics - Theory · Physics 2014-02-04 V. Balasubramanian , A. Bernamonti , B. Craps , V. Keränen , E. Keski-Vakkuri , B. Müller , L. Thorlacius , J. Vanhoof

We give an analysis of the spin-weighted Green's functions well-defined in a conical space. We apply these results in the case of a straight cosmic string and in the Rindler space in order to determine generally the Euclidean Green's…

General Relativity and Quantum Cosmology · Physics 2009-10-28 B. Linet

The flow of a thermoelectric current through a semiconductor of submicron dimensions is analyzed. The rate of surface relaxation of the energy is assumed to be much higher than the rate of electron-electron collisions. Under these…

Condensed Matter · Physics 2007-05-23 Yu. G. Gurevich , G. N. Logvinov , O. Yu. Titov

Thermofield dynamics has proven to be a very useful theory in high-energy physics, particularly since it permits the treatment of both time- and temperature-dependence on an equal footing. We here show that it also has an excellent…

Chemical Physics · Physics 2020-05-14 Gaurav Harsha , Thomas M. Henderson , Gustavo E. Scuseria

We present a new method for calculating the Green functions for a lattice scalar field theory in $D$ dimensions with arbitrary potential $V(\phi)$. The method for non-perturbative evaluation of Green functions for $D \! = \! 1$ is…

High Energy Physics - Theory · Physics 2009-10-28 Y. Sumino

The basic mathematical properties of Green's functions used in statistical mechanics as well as the equations defining these functions and the techniques of solving these equations are reviewed. An approach is presented called the…

Statistical Mechanics · Physics 2007-05-23 V. I. Yukalov

A formalism is discussed which simplifies the calculation of Feynman diagrams at finite temperature.

Nuclear Theory · Physics 2009-10-22 P. A. Henning

It is argued that the derivative expansion is a suitable method to deal with finite temperature field theory, if it is restricted to spatial derivatives only. Using this method, a simple and direct calculation is presented for the…

High Energy Physics - Theory · Physics 2009-11-07 L. L. Salcedo

In the present article we intend to accomplish a rigorous analysis which allows to elaborate useful symbolic and numerical codes leading to an accurate evaluation of the thermal radiation. We will consider the case of the electromagnetic…

Mathematical Physics · Physics 2009-03-01 C. Stoica

In this paper we study three different functional approaches to classical thermal field theory, which turn out to be the classical counterparts of three well-known different formulations of quantum thermal field theory: the Closed-Time Path…

High Energy Physics - Theory · Physics 2011-03-07 E. Gozzi , R. Penco

The thermal expectation values of all possible bosonic generalised retarded functions evaluated at zero energy are studied. The relationship of such functions to calculational schemes, technical problems and physical applications is…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. S. Evans

Current results in high temperature gauge theories obtained in the context of the perturbative method of resumming hard thermal loops are reviewed. Beyond leading order properties of the gluon excitation, and the recent (controversial)…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Baier

In these lectures we present a few topics in Quantum Field Theory in detail. Some of them are conceptual and some more practical. They have been selected because they appear frequently in current applications to Particle Physics and String…

High Energy Physics - Theory · Physics 2013-02-21 Luis Alvarez-Gaume , Miguel A. Vazquez-Mozo
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