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Low-order perturbation corrections to the electronic grand potential, internal energy, chemical potential, and entropy of a gas of noninteracting, identical molecules at a nonzero temperature are determined numerically as the…

Chemical Physics · Physics 2019-10-21 Punit K. Jha , So Hirata

We study the optimized perturbation theory (OPT) at finite temperature, which is a self-consistent resummation method. Firstly, we generalize the idea of the OPT to optimize the coupling constant in lambda phi^4 theory, and give a proof of…

High Energy Physics - Phenomenology · Physics 2014-11-17 S. Chiku

We study the O(N) linear sigma model with spontaneous symmetry breaking, using a Hartree-like ansatz with a classical field and variational masses. We go beyond the Hartree approximation by including the two-loop contribution, the sunset…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Baacke , S. Michalski

We study conformal field theories with finite group symmetries with spontaneous symmetry breaking (SSB) phases that persist at all temperatures. We work with two $\lambda \phi^4$ theories coupled through their mass terms. The two $\lambda…

High Energy Physics - Theory · Physics 2023-06-22 Pedro Liendo , Junchen Rong , Haoyu Zhang

We have developed a thorough and accurate method of determining anharmonic free energies, the temperature dependent effective potential technique (TDEP). It is based on \emph{ab initio} molecular dynamics followed by a mapping onto a model…

Statistical Mechanics · Physics 2013-10-14 Olle Hellman , Peter Steneteg , Igor A. Abrikosov , Sergei I. Simak

We calculate the effective tachyonic potential in closed string field theory up to the quartic term in the tree approximation. This involves an elementary four-tachyon vertex and a sum over the infinite number of Feynman graphs with an…

High Energy Physics - Theory · Physics 2010-11-01 Alexander Belopolsky

We present a lattice computation of the effective potential for O(2)-invariant $(\lambda\Phi^4)_4$ theory in the region of bare parameters corresponding to a classically scale-invariant theory. As expected from ``triviality'' and as in the…

High Energy Physics - Lattice · Physics 2007-05-23 A. Agodi , G. Andronico , M. Consoli

I show that there is a unique and well behaved derivative expansion of an effective action at finite temperature. The result is true for all formalisms including the popular Closed Time Path and Imaginary Time methods.

High Energy Physics - Phenomenology · Physics 2007-05-23 T. S. Evans

The finite temperature one-loop effective potential for a scalar field defined on an ultrastatic spacetime, whose spatial part is a compact hyperbolic manifold, is studied. Different analytic expressions, especially valuable at low and high…

High Energy Physics - Theory · Physics 2011-08-17 Guido Cognola , Klaus Kirsten , Luciano Vanzo , Sergio Zerbini

We present a formalism for local composite operators. The corresponding effective potential is unique, multiplicatively renormalizable, it is the sum of 1PI diagrams and can be interpreted as an energy-density. First we apply this method to…

High Energy Physics - Theory · Physics 2009-11-07 K. Knecht , H. Verschelde

This is a more detailed version of our recent paper where we proposed, from first principles, a direct method for evaluating the exact fermion propagator in the presence of a general background field at finite temperature. This can, in…

High Energy Physics - Theory · Physics 2010-03-12 Ashok Das , J. Frenkel

Assuming that tunnel effect between two degenerate bare minima occurs, in a scalar field theory at finite volume, this article studies the consequences for the effective potential, to all loop orders. Convexity is achieved only if the two…

High Energy Physics - Theory · Physics 2016-08-24 Jean Alexandre

We examine a very simple model for which the leading contribution to the one-loop effective potential at finite temperature is uniquely defined despite the presence of the Landau terms. In addition we report on the usual non-analyticity at…

High Energy Physics - Phenomenology · Physics 2007-05-23 Marcelo Hott , Georgios Metikas

Thermal duality, which relates the physics of closed strings at temperature T to the physics at the inverse temperature 1/T, is one of the most intriguing features of string thermodynamics. Unfortunately, the classical definitions of…

High Energy Physics - Theory · Physics 2009-11-10 Keith R. Dienes , Michael Lennek

Under the Ansatz that the occupation times of a system with finitely many states are given by the Gibbs distribution, an effective temperature is uniquely determined (up to a choice of scale), and may be computed de novo, without any…

Statistical Mechanics · Physics 2009-04-27 Steve Huntsman

We investigate the renormalizability of the classical $\phi^4$ theory at finite temperature. We calculate the time-dependent two point function to two loop order and show that it can be rendered finite by the counterterms of the classical…

High Energy Physics - Phenomenology · Physics 2009-10-30 Gert Aarts , Jan Smit

We study the Landau pole in the lambda phi^4 field theory at non-zero and large temperatures. We show that the position of the thermal Landau pole Lambda_L(T) is shifted to higher energies with respect to the zero temperature Landau pole…

High Energy Physics - Phenomenology · Physics 2009-12-31 H. J. de Vega , M. Simionato

The chiral phase transition is investigated within the framework of thermal field theory using the O(N) linear sigma model as an effective theory. We calculate the thermal effective potential by using the Cornwall-Jackiw-Tomboulis formalism…

High Energy Physics - Phenomenology · Physics 2007-05-23 Nicholas Petropoulos

Dynamical fermions induce via the fermion determinant a gauge-invariant effective action. In principle, this effective action can be added to the usual gauge action in simulations, reproducing the effects of closed fermion loops. Using…

High Energy Physics - Lattice · Physics 2016-08-31 Peter N. Meisinger , Michael C. Ogilvie

The finite-temperature effective potential of the O(N) linear \sigma model is studied, with emphasis on the implications for the investigation of hot hadron dynamics. The contributions from all the ``bubble diagrams'' are fully taken into…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Amelino-Camelia