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We study symmetry restoration at finite temperature in the theory of a charged scalar field interacting with a constant, external magnetic field. We compute the finite temperature effective potential including the contribution from ring…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alejandro Ayala , Angel Sánchez , Gabriella Piccinelli , Sarira Sahu

The basic tool for the study of the electroweak phase transition is $V_{eff} (\phi,T)$, the one-loop finite-temperature effective potential, improved by all-loop resummations of the most important infrared contributions. In this paper we…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. R. Espinosa , M. Quirós , F. Zwirner

In this paper a resummation method inspired by the renormalization-group improvement is applied to the one-loop effective potential (EP) in massive scalar $\phi^4$ model at $T\neq0$. By investigating the phase structure of the model at $T…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hisao Nakkagawa , Hiroshi Yokota

We study the phase structure of a 4D complex scalar field theory with a potential V(Phi) = | Lambda^3 / Phi - Lambda Phi |^2 at zero and at finite temperature. The model is analyzed by mean field and Monte Carlo methods. At zero temperature…

High Energy Physics - Lattice · Physics 2008-12-01 Sebastian Scheffler , Ralf Hofmann , Ion-Olimpiu Stamatescu

Perturbation theory, as well as most thermal field resummation methods widely used to study finite-temperature quantum field theories, presents a non-negligible renormalization scale dependence. To address this limitation, we propose an…

High Energy Physics - Phenomenology · Physics 2026-05-11 Lucas G. Câmara , Marcus Benghi Pinto , Rudnei O. Ramos

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…

High Energy Physics - Phenomenology · Physics 2008-02-03 Herbert Nachbagauer

Assuming triviality of the 4-dimensional $\lambda \phi ^4$-theory we compute the effective potential by means of a self consistent Feynman-Bogoliubov method. This potential $U_{eff}^{FB}$ depends on a UV-cutoff, which is fixed by a…

High Energy Physics - Lattice · Physics 2009-10-28 G. Palma , J. C. Rojas

We discuss the renormalization of \Phi-derivable approximations for scalar field theories. In such approximations, the self-energy is obtained as the solution of a self-consistent equation which effectively resums infinite subsets of…

High Energy Physics - Phenomenology · Physics 2016-09-06 Jean-Paul Blaizot , Edmond Iancu , Urko Reinosa

Field theory at nonvanishing temperature beyond perturbation theory is discussed for the $N$-component $O(N)$-symmetric scalar theory. We compute the effective potential directly in three dimensions using an exact evolution equation for an…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Berges

We solve the 3-loop $\Phi$-derivable approximation to the thermodynamics of the massless $\phi^4$ field theory by reducing it to a 1-parameter variational problem. The thermodynamic potential is expanded in powers of $g^2$ and $m/T$, where…

High Energy Physics - Phenomenology · Physics 2009-11-07 Eric Braaten , Emmanuel Petitgirard

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 study the one-loop effective potentials of the four-dimensional Lifshitz scalar field theory with the particular anisotropic scaling $z=2$, and show that the renormalization is possible without resort to the renormalization of the…

High Energy Physics - Theory · Physics 2011-08-25 Myungseok Eune , Wontae Kim , Edwin J. Son

The effective potential for the order parameter $\phi ^{\dagger } \phi$ is investigated in massless $\phi ^{4}$-theory in the presence of magnetic fields at finite temperature. It is found that the first order nature of the phase transition…

High Energy Physics - Phenomenology · Physics 2009-09-25 K. Langfeld

The temperature phase transition in scalar $\phi^4(x)$ field theory with spontaneous symmetry breaking is investigated in a partly resummed perturbative approach. The second Legendre transform is used and the resulting gap equation is…

High Energy Physics - Theory · Physics 2008-11-26 M. Bordag , V. Skalozub

Relying on the Luttinger-Ward theorem we derive a thermodynamically selfconsistent and scale independent approximation of the thermodynamic potential for the scalar $\phi^4$ theory in the tadpole approximation. The resulting thermodynamic…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Peshier , B. Kämpfer , O. P. Pavlenko , G. Soff

We investigate an effective model for the finite temperature restoration phase transition of the electroweak theory. It is obtained by dimensional reduction of the $3+1$ dimensional full theory and by subsequent integration over all static…

High Energy Physics - Lattice · Physics 2011-07-19 F. Karsch , T. Neuhaus , A. Patkos

We study, with various methods (standard large N evaluation of the functional integral for the effective potential, solution of the Schwinger-Dyson equations), the high temperature phase transition for the $N$-component $\phi^4$ theory in…

High Energy Physics - Phenomenology · Physics 2009-10-22 M. Reuter , N. Tetradis , C. Wetterich

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

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

We suggest a simple modification of the usual procedures of analysis for the high-temperature (strong-coupling or hopping-parameter) expansions of the renormalized four-point coupling constant in the fourdimensional phi^4 lattice scalar…

High Energy Physics - Theory · Physics 2016-11-23 P. Butera , M. Comi