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We consider the one-loop effective potential at zero and finite temperature in field theories with anisotropic space-time scaling, with critical exponent $z=2$, including both scalar and gauge fields. Depending on the relative strength of…

High Energy Physics - Theory · Physics 2015-06-03 K. Farakos , D. Metaxas

We apply the $\delta$-expansion perturbation scheme to the $\lambda \phi_{4}$ self-interacting scalar field theory in 3+1 D at finite temperature. In the $\delta$-expansion the interaction term is written as $\lambda (\phi^{2})^{1 +…

High Energy Physics - Phenomenology · Physics 2007-05-23 Rudnei O. Ramos

We study the renormalisation of the non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric scalar field theory with the interaction $\phi^2(i\phi)^\varepsilon$ using the Wilsonian approach and without any expansion in $\varepsilon$. Specifically,…

High Energy Physics - Theory · Physics 2023-01-16 Wen-Yuan Ai , Jean Alexandre , Sarben Sarkar

A theory for the microscopic structure and the vibrational properties of soft sphere glass at finite temperature is presented. With an effective potential, derived here, the phase diagram and vibrational properties are worked out around the…

Soft Condensed Matter · Physics 2016-04-13 E. DeGiuli , E. Lerner , M. Wyart

We review different aspects of field theory at zero and finite temperature, related to the theory of phase transitions. We discuss different renormalization conditions for the effective potential at zero temperature, emphasizing in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mariano Quiros

By using the symmetry improved CJT effective formalism developed by Pilaftsis and Teresi, the chiral phase transition is reconsidered in the framework of the $O(4)$ linear sigma model in chiral limit. Our results confirm the restorations of…

High Energy Physics - Phenomenology · Physics 2014-03-11 Hong Mao

We discuss the universal critical behavior of a selfinteracting scalar field theory at finite temperature as obtained from approximate solutions to nonperturbative renormalization group (RG) equations. We employ a formulation of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Bastian Bergerhoff

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…

High Energy Physics - Phenomenology · Physics 2011-07-19 C. Glenn Boyd , David E. Brahm , Stephen D. H. Hsu

We study $\l\f^4$ theory using an environmentally friendly finite-temperature renormalization group. We derive flow equations, using a fiducial temperature as flow parameter, develop them perturbatively in an expansion free from ultraviolet…

High Energy Physics - Theory · Physics 2015-06-26 M. A. van Eijck , Denjoe O'Connor , C. R. Stephens

We examine quintessence models for dark energy in which the scalar field, $\phi$, evolves near the vicinity of a local maximum or minimum in the potential $V(\phi)$, so that $V(\phi)$ be approximated by a quadratic function of $\phi$ with…

Cosmology and Nongalactic Astrophysics · Physics 2015-07-02 Jeffrey R. Swaney , Robert J. Scherrer

Making use of a dimensionally-reduced effective theory at high temperature, we perform a nonperturbative study of the electroweak phase transition in the Two Higgs Doublet model. We focus on two phenomenologically allowed points in the…

High Energy Physics - Phenomenology · Physics 2019-07-24 Kimmo Kainulainen , Venus Keus , Lauri Niemi , Kari Rummukainen , Tuomas V. I. Tenkanen , Ville Vaskonen

We simulate a four dimensional self-interacting scalar field theory on the lattice at finite temperature. By varying temperature, the system undergoes a phase transition from broken phase to symmetric phase. Our data show that the…

High Energy Physics - Lattice · Physics 2007-05-23 P. Cea , M. Consoli , L. Cosmai

We consider the 2PI Cornwall-Jackiw-Tomboulis effective action at finite temperature for a noncommutative real scalar field theory in 4 dimensions, with noncommutativity among space and time variables. By means of a Rayleig-Ritz variation,…

High Energy Physics - Theory · Physics 2013-06-12 J. M. Hernández , C. Ramírez , M. Sánchez

Techniques based on $n$-particle irreducible effective actions can be used to study systems where perturbation theory does not apply. The main advantage, relative to other non-perturbative continuum methods, is that the hierarchy of…

High Energy Physics - Theory · Physics 2019-04-10 M. E. Carrington , S. A. Friesen , C. D. Phillips , D. Pickering

We study the non restoration of symmetries with a local order parameter in field theory at finite temperature. After giving an interpretation of the phenomenon, we show that hierarchy problems are a necessary condition for its realization…

High Energy Physics - Phenomenology · Physics 2009-10-30 Jean Orloff

We study theories which naturally select a vacuum with parametrically small Electroweak Scale due to finite temperature effects in the early universe. In particular, there is a scalar with an approximate shift symmetry broken by a…

High Energy Physics - Phenomenology · Physics 2016-01-20 Edward Hardy

It has long been understood that the inclusion of temperature in the perturbative treatment of quantum field theories leads to complications that are not present at zero temperature. In these proceedings we report on the non-perturbative…

High Energy Physics - Phenomenology · Physics 2025-02-21 Peter Lowdon , Owe Philipsen

The infrared effects for light minimally coupled scalar fields with quartic self-interaction in de Sitter space is investigated using the 2PI effective action formalism. This formalism partially resums infinite series of loop diagrams, and…

High Energy Physics - Theory · Physics 2012-11-30 Takashi Arai

Self-consistent Hartree-Fock approximation combined with solutions of the Bethe-Salpeter equation offers a powerful tool for studies of strong correlation effects arising in condensed matter models, nuclear physics, quantum field theories,…

Strongly Correlated Electrons · Physics 2024-02-06 I. S. Tupitsyn , N. V. Prokof'ev

The linear $\delta$ expansion is used to obtain corrections up to O$(\delta^2)$ to the self-energy for a complex scalar field theory with a $\lambda (\phi^{\star}\phi)^2$ interaction at high temperature and non-zero charge density. The…

High Energy Physics - Theory · Physics 2011-07-19 H. F. Jones , Philip Parkin