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We present a self-consistent calculation of the finite temperature effective potential for $\lambda \Phi^4$ theory in four dimensions using a composite operator effective action. We find that in a spontaneously broken theory not only the…

高能物理 - 唯象学 · 物理学 2008-02-03 Herbert Nachbagauer

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…

高能物理 - 理论 · 物理学 2009-11-07 G. Smet , T. Vanzielighem , K. Van Acoleyen , H. Verschelde

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…

高能物理 - 理论 · 物理学 2015-06-26 Anna Okopińska

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…

高能物理 - 唯象学 · 物理学 2007-05-23 T. Hattori , M. Hayashi , T. Inagaki , Y. Kitadono

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…

高能物理 - 唯象学 · 物理学 2008-11-26 Amruta Mishra , Hiranmaya Mishra

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.

高能物理 - 唯象学 · 物理学 2007-05-23 G. Amelino-Camelia , So-Young Pi

We calculate the one-loop effective potential at finite temperature for a system of massless scalar fields with quartic interaction $\lambda\phi^4$ in the framework of the boundary effective theory (BET) formalism. The calculation relies on…

高能物理 - 唯象学 · 物理学 2011-06-30 A. Bessa , C. A. A. de Carvalho , E. S. Fraga , F. Gelis

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…

高能物理 - 唯象学 · 物理学 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…

高能物理 - 理论 · 物理学 2017-08-23 G. N. J. Ananos , N. F. Svaiter

In theories with spontaneous symmetry breaking, the loop expansion of the effective potential is awkward. In such theories, the exact effective potential $V(\phi_c,T)$ is real and convex (as a function of the classical field $\phi_c$), but…

高能物理 - 唯象学 · 物理学 2009-10-22 Kevin Cahill

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…

高能物理 - 理论 · 物理学 2009-10-30 Jiro Arafune , Kenzo Ogure , Joe Sato

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…

高能物理 - 理论 · 物理学 2007-05-23 Guang-jiong Ni , Su-qing Chen

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…

高能物理 - 唯象学 · 物理学 2009-10-22 Arthur Hebecker

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…

高能物理 - 唯象学 · 物理学 2009-10-28 Herbert Nachbagauer

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,…

高能物理 - 唯象学 · 物理学 2009-10-22 K. Langfeld , L. v. Smekal , H. Reinhardt

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…

高能物理 - 唯象学 · 物理学 2009-10-22 Per Elmfors , Kari Enqvist , Iiro Vilja

We have applied the recently proposed renormalization group improvement procedure of the finite temperature effective potential, and have investigated extensively the phase structure of the massive scalar $\phi^4$ model, showing that the…

高能物理 - 唯象学 · 物理学 2011-04-15 Hisao Nakkagawa , Hiroshi Yokota

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…

高能物理 - 唯象学 · 物理学 2014-11-17 S. Chiku

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…

高能物理 - 理论 · 物理学 2009-11-07 K. Knecht , H. Verschelde

We examine several resummation methods for computing higher order corrections to the finite temperature effective potential, in the context of a scalar $\phi^4$ theory. We show by explicit calculation to four loops that dressing the…

高能物理 - 唯象学 · 物理学 2011-07-19 C. Glenn Boyd , David E. Brahm , Stephen D. H. Hsu
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