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The one-loop effective potential for a scalar field defined on an ultrastatic space-time whose spatial part is a compact hyperbolic manifold, is studied using zeta-function regularization for the one-loop effective action. Other possible…

High Energy Physics - Theory · Physics 2011-05-12 Guido Cognola , Klaus Kirsten , Sergio Zerbini

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 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

Massless and massive scalar fields and massless spinor fields are considered at arbitrary temperatures in four dimensional ultrastatic curved spacetime. Scalar models under consideration can be either conformal or nonconformal and include…

High Energy Physics - Theory · Physics 2016-08-25 Yu. V. Gusev , A. I Zelnikov

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

The one-loop effective action for a massive self-interacting scalar field is investigated in $4$-dimensional ultrastatic space-time $ R \times H^3/\Gamma$, $H^3/\Gamma$ being a non-compact hyperbolic manifold with finite volume. Making use…

High Energy Physics - Theory · Physics 2009-10-30 A. A. Bytsenko , Guido Cognola , Sergio Zerbini

Scalar fields at finite temperature are considered in four dimensional ultrastatic curved spacetime. One loop nonlocal effective action at finite temperature is found up to the second order in curvature expansion. This action is explicitly…

High Energy Physics - Theory · Physics 2010-04-06 Yuri Gusev , Andrei Zelnikov

The finite-temperature one-loop effective potential for a scalar field in the static de Sitter space-time is obtained. Within this framework, by using zeta-function regularization, one can get, in the conformally invariant case, the…

High Energy Physics - Theory · Physics 2009-10-22 D. V. Fursaev , G. Miele

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

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

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

The trace of the heat kernel in a (D+1)-dimensional Euclidean spacetime (integer D > 1) is used to derive the free energy in finite temperature field theory. The spacetime presents a D-dimensional compact space (domain) with a…

High Energy Physics - Theory · Physics 2016-12-12 Yuri V. Gusev

We study the thermodynamics of a two-species homogeneous and dilute Bose gas that is self-interacting and quadratically coupled to each other. We make use of field theoretical functional integral techniques and evaluate the one-loop finite…

Other Condensed Matter · Physics 2007-05-23 Marcus Benghi Pinto , Rudnei O. Ramos , Frederico F. de Souza Cruz

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 calculate the one-loop effective potential at finite temperature for the Horava-Lifshitz-like QED and Yukawa-like theories for arbitrary values of the critical exponent and the space-time dimension. Additional remarks on the zero…

High Energy Physics - Theory · Physics 2014-01-29 C. F. Farias , M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

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…

High Energy Physics - Phenomenology · Physics 2011-06-30 A. Bessa , C. A. A. de Carvalho , E. S. Fraga , F. Gelis

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

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

We study the applicability of the finite temperature effective potential in the equation of motion of a homogeneous "misaligned" scalar condensate $\varphi$, and find important caveats that severely restrict its domain of validity: i:) the…

High Energy Physics - Phenomenology · Physics 2025-01-31 Nathan Herring , Shuyang Cao , Daniel Boyanovsky

We calculate a temperature dependent part of the one-loop thermodynamic potential (and the free energy) for charged massive fields in a general class of irreducible rank 1 symmetric spaces. Both low- and high-temperature expansions are…

High Energy Physics - Theory · Physics 2008-11-26 I. Brevik , A. A. Bytsenko , A. E. Goncalves , F. L. Williams
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