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We present a self--consistent solution of the finite temperature gap--equation for $\lambda \Phi^4$ theory beyond the Hartree-Fock approximation using a composite operator effective action. We find that in a spontaneously broken theory not…

High Energy Physics - Phenomenology · Physics 2009-10-28 Herbert Nachbagauer

We present a self-consistent calculation of the finite temperature effective potential for $\lambda \phi^4$ theory, using the composite operator effective potential in which an infinite series of the leading diagrams is summed up. Our…

High Energy Physics - Phenomenology · Physics 2009-10-22 G. Amelino-Camelia , S. -Y. Pi

We calculate the explicit expression of the effective potential in a $\lambda\phi^4$ theory at finite temperature in a static universe for arbitrary spacetime dimensions (2\leq D < 5). To study the combined effects of the temperature and…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Hattori , M. Hayashi , T. Inagaki , Y. Kitadono

In order to investigate the nature of the phase transition, we study the finite temperature effective potential for the $\lambda \Phi^4$ theory in the Hartree-Fock approximation, which sums up all the daisy and superdaisy diagrams.

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Amelino-Camelia , So-Young Pi

The method of the effective action for the composite operators $\Phi^2(x)$ and $\Phi^4(x)$ is applied to the termodynamics of the scalar quantum field with $\lambda\Phi^4$ interaction. An expansion of the finite temperature effective…

High Energy Physics - Theory · Physics 2015-06-26 Anna Okopińska

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

We calculate the effective potential of the scalar theory at finite temperature under the super-daisy approximation, after expressing its derivative with respect to mass square in terms of the full propagator. This expression becomes the…

High Energy Physics - Theory · Physics 2009-10-30 Jiro Arafune , Kenzo Ogure , Joe Sato

We investigate the effective potential for a scalar $\Phi^{4}$ theory with spontaneous symmetry breaking at finite temperature. All 'daisy' and 'super daisy' diagrams are summed up and the properties of the corresponding gap eqation are…

High Energy Physics - Theory · Physics 2009-09-25 M. Bordag , V. Skalozub

We describe in detail, in the context of the simple scalar $\phi^4$ theory, the prescription for resummation of daisy and superdaisy diagrams in the effective potential using the solution of the gap equations in the infrared limit. We find…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mariano Quirós

We calculate the finite temperature effective potential of $\lambda\phi^4$ at the two loop order of the 2PPI expansion. This expansion contains all diagrams which remain connected when two lines meeting at the same point are cut and…

High Energy Physics - Theory · Physics 2009-11-07 G. Smet , T. Vanzielighem , K. Van Acoleyen , H. Verschelde

The finite temperature effective potential of the Abelian Higgs Model is studied using the self-consistent composite operator method, which sums up the contributions of daisy and superdaisy diagrams. The effect of the momentum dependence of…

High Energy Physics - Phenomenology · Physics 2011-07-19 G. Amelino-Camelia

We discuss the $\phi^4$ and $\phi^6$ theory defined in a flat $D$-dimensional space-time. We assume that the system is in equilibrium with a thermal bath at temperature $\beta^{-1}$. To obtain non-perturbative result, the $ 1/N $ expansion…

High Energy Physics - Theory · Physics 2017-08-23 G. N. J. Ananos , N. F. Svaiter

We compute numerically the effective potential for the $(\lambda \Phi^4)_4$ theory on the lattice. Three different methods were used to determine the critical bare mass for the chosen bare coupling value. Two different methods for obtaining…

High Energy Physics - Lattice · Physics 2009-10-30 A. Agodi , G. Andronico , P. Cea , M. Consoli , L. Cosmai

The effective potential of $\lambda\phi^4_{1+3}$ model with both sign of parameter $m^2$ is evaluated at T=0 by means of a simple but effective method for regularization and renormalization. Then at $T\ne 0$, the effective potential is…

High Energy Physics - Theory · Physics 2007-05-23 Guang-jiong Ni , Su-qing Chen

We compute the leading and next--to--leading corrections to the finite temperature scalar potential for a 3+1 dimensional $\phi^4$ theory using a systematic $1/N$ expansion. Our approach automatically avoids problems associated with…

High Energy Physics - Phenomenology · Physics 2009-10-22 Vidyut Jain

A complete calculation of the finite temperature effective potential for the abelian Higgs model to the order $e^4,\lambda^2$ is presented and the result is expressed in terms of physical parameters defined at zero temperature. The absence…

High Energy Physics - Phenomenology · Physics 2009-10-22 Arthur Hebecker

We study the effective potential of a real scalar phi^4 theory as a function of the temperature T within the simplest Phi-derivable approximation, namely the Hartree approximation. We apply renormalization at a "high" temperature T* where…

High Energy Physics - Phenomenology · Physics 2015-03-19 Urko Reinosa , Zsolt Szep

We study the O(N) linear sigma model in 1+1 dimensions. We use the 2PI formalism of Cornwall, Jackiw and Tomboulis in order to evaluate the effective potential at finite temperature. At next-to-leading order in a 1/N expansion one has to…

High Energy Physics - Phenomenology · Physics 2016-09-06 Jurgen Baacke , Stefan Michalski

The effective action is computed for the \lphi--theory at finite temperature for small perturbations about a constant background field, using a generalized tadpole method. We find the complete effective action, including the real and…

High Energy Physics - Phenomenology · Physics 2009-10-22 Per Elmfors , Kari Enqvist , Iiro Vilja

We present an analytical and numerical study of scalar phi^4 theory at finite temperature with a renormalized 2-loop truncation of the 2PI effective action.

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Arrizabalaga , U. Reinosa
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