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The one-loop effective potential for gauge models in static de Sitter space at finite temperatures is computed by means of the $\zeta$--function method. We found a simple relation which links the effective potentials of gauge and scalar…

High Energy Physics - Theory · Physics 2016-09-06 Lara De Nardo , Dmitri V. Fursaev , Gennaro Miele

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…

High Energy Physics - Phenomenology · Physics 2011-04-15 Hisao Nakkagawa , Hiroshi Yokota

In a series of two papers, we make a comparative analysis of the performance of conventional perturbation theory to analyze electroweak phase transition in the real triplet extension of Standard Model ($\Sigma$SM). In Part I (this paper),…

High Energy Physics - Phenomenology · Physics 2019-08-14 Lauri Niemi , Hiren H. Patel , Michael J. Ramsey-Musolf , Tuomas V. I. Tenkanen , David J. Weir

In effective field theory physical quantities, in particular observables, are expressed as a power series in terms of a small expansion parameter. For non-perturbative systems, for instance nuclear physics, this requires the…

Nuclear Theory · Physics 2025-12-11 Manuel Pavon Valderrama

Symmetry restoration in a theory of a self-interacting charged scalar field at finite temperature and in the presence of an external magnetic field is examined. The effective potential is evaluated nonperturbatively in the context of the…

High Energy Physics - Phenomenology · Physics 2011-11-01 D. C. Duarte , R. L. S. Farias , Rudnei O. Ramos

It is well known that effective potentials can be gauge-dependent while their values at extrema should be gauge-invariant. Unfortunately, establishing this invariance in perturbation theory is not straightforward, since contributions from…

High Energy Physics - Phenomenology · Physics 2015-06-22 Anders Andreassen , William Frost , Matthew D. Schwartz

We propose a method to determine the effective potential of QCD from the gap equation, by introducing the homotopy method between the solutions of the equation of motion. Via this method, the effective potential beyond the bare vertex…

High Energy Physics - Phenomenology · Physics 2024-05-06 Hui-wen Zheng , Yi Lu , Fei Gao , Si-xue Qin , Yu-xin Liu

Effective potential of a scalar field induced by weak gravity is studied. The set of operators relevant for leading effects and preserving the second order of field equations is found. It is shown that only the mass term and a specific…

High Energy Physics - Theory · Physics 2020-10-30 Andrej Arbuzov , Boris Latosh

The nature of the Abelian Higgs Model phase transition is investigated. A variational approximation is used in the evaluation of the relevant finite temperature effective potential. Some of the results presented are valid not only in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Amelino-Camelia

The electroweak phase transition broke the electroweak symmetry. Perturbative methods used to calculate observables related to this phase transition suffer from severe problems such as gauge dependence, infrared divergences, and a breakdown…

High Energy Physics - Phenomenology · Physics 2021-02-03 Andreas Ekstedt , Johan Löfgren

Motivated by bubble nucleation in first order phase transitions, we question the validity of the effective potential for inhomogeneous configurations. In an attempt to get some insight into the importance of derivative terms, we analyze a…

High Energy Physics - Phenomenology · Physics 2014-11-17 Scott Dodelson , Ben-Ami Gradwohl

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 compute the complete one-loop finite temperature effective potential for electroweak symmetry breaking in the Standard Model with a Higgs potential supplemented by higher dimensional operators as generated for instance in composite Higgs…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Delaunay , C. Grojean , J. D. Wells

It is well known that the electroweak phase transition (EWPhT) in extensions of the Standard Model with one real scalar singlet can be first-order for realistic values of the Higgs mass. We revisit this scenario with the most general…

High Energy Physics - Phenomenology · Physics 2015-05-28 Jose R. Espinosa , Thomas Konstandin , Francesco Riva

To obtain a first order phase transition requires large new physics corrections to the Standard Model (SM) Higgs potential. This implies that the scale of new physics is relatively low, raising the question whether an effective field theory…

High Energy Physics - Phenomenology · Physics 2021-04-14 Marieke Postma , Graham White

The well-established effective action and effective potential framework from the quantum field theory domain is adapted and successfully applied to classical field theories of the Doi and Peliti type for diffusion controlled reactions.…

Statistical Mechanics · Physics 2008-11-26 David Hochberg , M. -P. Zorzano

We study the thermal phase transitions of a generic real scalar field, without a $Z_2$-symmetry, referred to variously as an inert, sterile or singlet scalar, or $\phi^3+\phi^4$ theory. Such a scalar field arises in a wide range of models,…

High Energy Physics - Phenomenology · Physics 2021-04-13 Oliver Gould

The effective potential of scalar quantum electrodynamics with N flavors of complex scalar fields is studied, by performing a self consistent 1/N expansion up to next to leading order in $1/N$. Starting from the broken phase at zero…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Carena , C. E. M. Wagner

The study of effective potential for the scalar Lee-Wick pseudo-electrodynamics in one-loop is presented in this letter. The planar and non-local Lee-Wick pseudo-electrodynamics is so coupled to a complex scalar field sector in 1+2…

High Energy Physics - Theory · Physics 2025-08-26 M. J. Neves

To calculate the temperature at which a first-order cosmological phase transition occurs, one must calculate $F_c(T)$, the free energy of a critical bubble configuration. $F_c(T)$ is often approximated by the classical energy plus an…

High Energy Physics - Phenomenology · Physics 2009-10-22 David Brahm , Clarence L. Y. Lee