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The calculation of one loop integrals at finite temperature requires the evaluation of certain series, which converge very slowly or can even be divergent. Here we review a new method, recently devised by the author, for obtaining…

High Energy Physics - Theory · Physics 2007-05-23 Paolo Amore

In this proceedings we present a state-of-the-art method of calculating thermodynamic potential at finite temperature and finite chemical potential, using Hard Thermal Loop perturbation theory (HTLpt) up to next-to-next-leading-order…

High Energy Physics - Phenomenology · Physics 2016-03-03 Aritra Bandyopadhyay , Najmul Haque , Munshi G. Mustafa , Michael Strickland , Nan Su

While it is possible to find examples of field theories with a spontaneously broken symmetry at high temperature, in renormalizable supersymmetric models any internal symmetry gets always restored. Recently, a counterexample was suggested…

High Energy Physics - Phenomenology · Physics 2009-10-28 Borut Bajc , Alejandra Melfo , Goran Senjanovic

We investigate the grand potential of the one-dimensional Hubbard model in the high temperature limit, calculating the coefficients of the high temperature expansion ($\beta$-expansion) of this function up to order $\beta^4$ by an…

Condensed Matter · Physics 2016-08-31 I. C. Charret , E. V. Correa Silva , S. M. de Souza , M. T. Thomaz , A. T. Costa , O. Rojas Santos

Finite-temperature quantum field theory provides the foundation for many important phenomena in the Standard Model and extensions, including phase transitions, baryogenesis, and gravitational waves. Methods are developed to enable…

High Energy Physics - Phenomenology · Physics 2024-01-11 D. Harnett , Siyuan Li , T. G. Steele

One of the most intriguing features of string thermodynamics is thermal duality, which relates the physics at temperature T to the physics at inverse temperature 1/T. Unfortunately, the traditional definitions of thermodynamic quantities…

High Energy Physics - Theory · Physics 2007-05-23 Keith R. Dienes , Michael Lennek

In this paper we revisit and update the computation of thermal corrections to the stability of the electroweak vacuum in the Standard Model. At zero temperature, we make use of the full two-loop effective potential, improved by three-loop…

High Energy Physics - Phenomenology · Physics 2017-03-15 Luigi Delle Rose , Carlo Marzo , Alfredo Urbano

A finite temperature and density effect of Wilson loop elements on non-simply connected space is investigated in the model suggested by Hosotani. Using one-loop calculations it is shown that the value of an "order parameter" does not shift…

High Energy Physics - Theory · Physics 2012-06-28 Kiyoshi Shiraishi

The thermal conductivity of pionic medium has been evaluated with the help of its standard expression from the relaxation time approximation, where inverse of pion relaxation time or pion thermal width has been obtained from the imaginary…

Nuclear Theory · Physics 2015-07-08 Sabyasachi Ghosh

The Casimir effect at finite temperature is investigated for a dilute dielectric ball; i.e., the relevant internal and free energies are calculated. The starting point in this study is a rigorous general expression for the internal energy…

High Energy Physics - Theory · Physics 2009-10-31 V. V. Nesterenko , G. Lambiase , G. Scarpetta

A systematically improvable wave function is proposed for the numerical solution of strongly correlated systems. With a stochastic optimization method, based on the auxiliary field quantum Monte Carlo technique, an effective temperature…

Strongly Correlated Electrons · Physics 2022-03-22 Sandro Sorella

The hard-thermal-loop perturbation theory (HTLpt) framework is used to calculate the thermodynamic functions of a quark-gluon plasma to three-loop order. This is the highest order accessible by finite temperature perturbation theory applied…

High Energy Physics - Phenomenology · Physics 2015-03-19 Jens O. Andersen , Lars E. Leganger , Michael Strickland , Nan Su

Hierarchical equations of motion approach with the Drude-Lorentz spectral density has been widely employed in investigating quantum dissipative phenomena. However, it is often computationally costly for low-temperature systems because a…

Chemical Physics · Physics 2020-05-22 Akihito Ishizaki

The poor convergence of quantum field theory at finite temperature has been one of the main obstacles in the practical applications of thermal QCD for decades. Here we briefly review the progress of hard-thermal-loop perturbation theory…

High Energy Physics - Phenomenology · Physics 2012-04-03 Nan Su

In hot non-Abelian gauge theories, processes characterized by the momentum scale $g^2 T$ (such as electroweak baryon number violation in the very early universe) are non-perturbative. An effective theory for the soft ($|\vec{p}|\sim g^2 T$)…

High Energy Physics - Phenomenology · Physics 2008-11-26 Dietrich Bodeker

Starting from renormalised Effective Lagrangian, in the presence of an external Chromo-Electric field at finite temperature, the expression for thermal coupling constant ($\alpha = (g^2)/(4 \pi)$) as a function of temperature and external…

High Energy Physics - Theory · Physics 2007-05-23 Avijit K. Ganguly

Recently a new integral equation describing the thermodynamics of the 1D Heisenberg model was discovered by Takahashi. Using the integral equation we have succeeded in obtaining the high temperature expansion of the specific heat and the…

Statistical Mechanics · Physics 2009-11-07 Masahiro Shiroishi , Minoru Takahashi

We consider the Casimir effect for a sphere in front of a plane at finite temperature for scalar and electromagnetic fields and calculate the limiting cases. For small separation we compare the exact results with the corresponding ones…

Quantum Physics · Physics 2015-03-13 M. Bordag , I. Pirozhenko

A diathermal wall between two heat baths at different temperatures can be mimicked by a layer of independent spin pairs with some internal energy and where each spin $\sigma_a$ is flipped by thermostat $a$ ($a=1,2$). The transition rates…

Statistical Mechanics · Physics 2015-05-06 Françoise Cornu , Michel Bauer

We compute the effective potential for $\phi^4$ theory with a squeezed coherent state type of construct for the ground state. The method essentially consists in optimising the basis at zero and finite temperatures. The gap equation becomes…

High Energy Physics - Phenomenology · Physics 2008-11-26 Amruta Mishra , Hiranmaya Mishra