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The effective potential obtained by loop expansion is usually not real in the range of field values explored by its minima during a phase transition. We apply the optimized perturbation theory in a fixed gauge to singlet scalar extensions…

High Energy Physics - Phenomenology · Physics 2023-05-04 Károly Seller , Zsolt Szép , Zoltán Trócsanyi

We develop a formalism that allows the computation of the quantum effective potential of a scalar order parameter in a class of holographic theories at finite temperature and charge density. The effective potential is a valuable tool for…

High Energy Physics - Theory · Physics 2015-06-05 Elias Kiritsis , Vasilis Niarchos

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…

High Energy Physics - Phenomenology · Physics 2009-10-22 Kevin Cahill

The problem of calculating the effective potential for a real scalar field with a double--well potential is a possible preliminary to understanding symmetry breaking phase transitions in the early universe. It is argued here that it is…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ian G. Moss

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 construct a non-perturbative method to investigate the phase structure of the scalar theory at finite temperature. The derivative of the effective potential with respect to the mass square is expressed in terms of the full propagator.…

High Energy Physics - Theory · Physics 2009-10-30 Tomohiro Inagaki , Kenzo Ogure , Joe Sato

We develop a method for the construction of the effective potential at high temperatures based on the effective field theory approach and renormalization group. It allows one to sum up the leading logarithms in all orders of perturbation…

High Energy Physics - Phenomenology · Physics 2009-10-28 K. Farakos , K. Kajantie , K. Rummukainen , M. Shaposhnikov

We study the symmetry breaking phenomenon in the standard model during the electroweak phase transition in the presence of a constant hypermagnetic field. We compute the finite temperature effective potential up to the contribution of ring…

High Energy Physics - Theory · Physics 2008-11-26 Angel Sanchez , Alejandro Ayala , Gabriella Piccinelli

A quantitative discussion of nonperturbative effects for the high temperature electroweak phase transition is presented. We propose a method for the computation of the temperature dependent effective scalar potential that takes into account…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Bergerhoff , C. Wetterich

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

Non-perturbatively generated effective potentials play an extremely useful and often critical role in string and inflationary model building. These potentials are typically computed by methods that assume the system is in equilibrium. For…

High Energy Physics - Theory · Physics 2020-06-24 Guilherme L. Pimentel , John Stout

The desirability of evaluating the effective potential in field theories near a phase transition has been recognized in a number of different areas. We show that recent Monte Carlo simulations for the probability distribution for the order…

Statistical Mechanics · Physics 2011-05-12 Joseph Rudnick , William Lay , David Jasnow

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

We derive a new exact evolution equation for the scale dependence of an effective action. The corresponding equation for the effective potential permits a useful truncation. This allows one to deal with the infrared problems of theories…

High Energy Physics - Theory · Physics 2017-10-17 Christof Wetterich

In theories with spontaneous symmetry breaking, the conventional effective potential possesses a defective loop expansion. For such theories, the exact effective potential $V(\phi_c,T)$ is real and convex, but its perturbative series is…

High Energy Physics - Phenomenology · Physics 2009-10-22 Kevin Cahill

We construct the effective potential for a QCD-like theory using the auxiliary field method. The chiral phase transition exhibited by the model at finite temperature and the quark chemical potential is studied from the viewpoint of the…

High Energy Physics - Phenomenology · Physics 2016-09-06 Y. Hashimoto , Y. Tsue , H. Fujii

In this paper we calculate the leading divergences of the effective potential for an arbitrary scalar theory on a curved spacetime background. Based on the recurrence relation between the leading poles following from the locality condition,…

High Energy Physics - Theory · Physics 2025-07-21 V. A. Filippov , R. M. Iakhibbaev , D. M. Tolkachev

Perturbation theory alone fails to describe thermodynamics of the electroweak phase transition. We review a technique combining perturbative and non-perturbative methods to overcome this challenge. Accordingly, the principal theme is a…

High Energy Physics - Phenomenology · Physics 2021-07-07 Philipp M. Schicho , Tuomas V. I. Tenkanen , Juuso Österman

An effective field theory approach is developed for calculating the thermodynamic properties of a field theory at high temperature $T$ and weak coupling $g$. The effective theory is the 3-dimensional field theory obtained by dimensional…

High Energy Physics - Phenomenology · Physics 2016-09-01 Eric Braaten , Agustin Nieto

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
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