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The thermodynamics of a scalar field with a quartic interaction is studied within the linear delta expansion (LDE) method. Using the imaginary-time formalism the free energy is evaluated up to second order in the LDE. The method generates…

High Energy Physics - Phenomenology · Physics 2009-01-05 R. L. S. Farias , G. Krein , R. O. Ramos

We discuss the thermodynamics of the O(N) model across the corresponding phase transition using the two-loop Phi-derivable approximation of the effective potential and compare our results to those obtained in the literature within the…

High Energy Physics - Phenomenology · Physics 2013-06-04 Gergely Markó , Urko Reinosa , Zsolt Szép

We obtain the effective potential at finite temperature within the left-right symmetric model. We take the Higgs sector to consist of two doublets and calculate its finite temperature effective potential up to the order of…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Choi , R. R. Volkas

The Hartree ensemble approximation is studied in the ``symmetric phase'' of 1+1 dimensional lambda phi^4 theory. In comparison with the ``broken phase'' studied previously, it is shown that the dynamical evolution of observables such as the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Mischa Salle , Jan Smit

Self-consistent Hartree-Fock approximation combined with solutions of the Bethe-Salpeter equation offers a powerful tool for studies of strong correlation effects arising in condensed matter models, nuclear physics, quantum field theories,…

Strongly Correlated Electrons · Physics 2024-02-06 I. S. Tupitsyn , N. V. Prokof'ev

At high temperatures a four dimensional field theory is reduced to a three dimensional field theory. In this letter we consider the $\phi^4$ theory whose parameters are chosen so that a thermal phase transition occurs at a high temperature.…

High Energy Physics - Phenomenology · Physics 2015-06-25 Hidenori Sonoda

Scalar field theory at finite temperature is investigated via an improved renormalization group prescription which provides an effective resummation over all possible non-overlapping higher loop graphs. Explicit analyses for the lambda…

High Energy Physics - Theory · Physics 2009-10-28 Sen-Ben Liao , Michael Strickland

The effective potential for the local composite operator $\phi^{2}(x)$ in $\lambda \phi^{4}$-theory is investigated at finite temperature in an approach based on path-integral linearisation of the $\phi^4 $-interaction. At zero temperature,…

High Energy Physics - Phenomenology · Physics 2009-10-22 K. Langfeld , L. v. Smekal , H. Reinhardt

We formulate a self-consistent Hartree-Fock theory for a spin-1 Bose gas at finite temperature and apply it to characterizing the phase diagram. We find that spin coherence between thermal atoms in different magnetic sub-levels develops via…

Quantum Gases · Physics 2015-06-04 Yuki Kawaguchi , Nguyen Thanh Phuc , P. Blair Blakie

Abst\-ract: A hierarchy of effective three-dimensional theories of finite temperature electroweak matter is studied. First an integration over non-static modes leads to an effective theory containing a gauge field $A_{i}^{a}$, an adjoint…

High Energy Physics - Phenomenology · Physics 2009-10-22 A. Jakovác , K. Kajantie , A. Patkós

We use an optimised hopping parameter expansion for the free energy (linear delta expansion) to study the phase transitions at finite temperature and finite charge density in a global U(1) scalar Higgs sector on the lattice at large lattice…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. S. Evans , H. F. Jones , D. Winder

A procedure is proposed to study QFT at zero or at finite temperature by a sequence of real space renormalization group (RG) or blockspin transformations. They transform to effective theories on coarser and coarser lattices.The ultimate aim…

High Energy Physics - Lattice · Physics 2007-05-23 U. Kerres

We study the phase transition of a real scalar phi^4 theory in the two-loop Phi-derivable approximation using the imaginary time formalism, extending our previous (analytical) discussion of the Hartree approximation. We combine Fast Fourier…

High Energy Physics - Phenomenology · Physics 2015-06-05 Gergely Markó , Urko Reinosa , Zsolt Szép

The widely used thermal Hartree-Fock (HF) theory is generalized to include the effect of electron correlation while maintaining its quasi-independent-particle framework. An electron-correlated internal energy (or grand potential) is…

Statistical Mechanics · Physics 2024-08-22 So Hirata

We study the thermodynamics of the electroweak theory at a finite lepton number density. The phase diagram of the theory is calculated by relating the full 4-dimensional theory to a 3-dimensional effective theory which has been previously…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Gynther

The temperature dependance of the action in the thin-wall and thick-wall limits is obtained analytically for the $\phi^6$ scalar potential. The nature of the phase transition is investigated from the quantum tunnelling regime at low…

High Energy Physics - Theory · Physics 2009-11-13 Hatem Widyan

The decay rate for a particle in a metastable cubic potential is investigated in the quantum regime by the Euclidean path integral method in semiclassical approximation. The imaginary time formalism allows one to monitor the system as a…

Statistical Mechanics · Physics 2008-04-22 Marco Zoli

Starting from the Phi-derivable approximation scheme at leading-loop order, the thermodynamical potential in a hot scalar theory, as well as in QED and QCD, is expressed in terms of hard thermal loop propagators. This nonperturbative…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andre Peshier

The effective potential is a widely used phenomenological tool to investigate phase transitions occurring in the early Universe at finite temperature. In the standard perturbative treatment the potential becomes complex in some region of…

High Energy Physics - Phenomenology · Physics 2023-11-10 Károly Seller

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