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We explicitly compute the one-loop exact beta function for a nonlocal extension of the standard gauge theory, in particular Yang-Mills and QED. The theory, made of a weakly nonlocal kinetic term and a local potential of the gauge field, is…

High Energy Physics - Theory · Physics 2016-08-03 Leonardo Modesto , Marco Piva , Leslaw Rachwal

We study a gauge/gravity model for the thermodynamics of a gauge theory with one running coupling. The gravity side contains an ansatz for the metric and a scalar field, on the field theory side one starts by giving an ansatz for the beta…

High Energy Physics - Phenomenology · Physics 2009-12-31 J. Alanen , K. Kajantie , V. Suur-Uski

We discuss the phase structure of the four-dimensional compact U(1) gauge theory at finite temperature using a deformation of the topological model. Its phase structure can be determined by the behavior of the Coulomb gas (CG) system on the…

High Energy Physics - Theory · Physics 2009-11-07 Kentaroh Yoshida , Wataru Souma

We study the three-dimensional U(1)+Higgs theory (Ginzburg-Landau model) as an effective theory for finite temperature phase transitions from the 1 K scale of superconductivity to the relativistic scales of scalar electrodynamics. The…

High Energy Physics - Lattice · Physics 2009-10-30 K. Kajantie , M. Karjalainen , M. Laine , J. Peisa

For computing thermodynamics of the electroweak phase transition, we discuss a minimal approach that reconciles both gauge invariance and thermal resummation. Such a minimal setup consists of a two-loop dimensional reduction to…

High Energy Physics - Phenomenology · Physics 2022-11-30 Philipp Schicho , Tuomas V. I. Tenkanen , Graham White

We have proven the general relations between the gap equations obeyed by dynamical fermion mass and corresponding effective potentials at finite temperature and chemical potential in D dimensional four-fermion interaction models. This gives…

High Energy Physics - Phenomenology · Physics 2008-11-26 Zhou Bang-Rong

We study an integral representation for the zeta function of the one-loop effective potential for a minimally coupled massive scalar field in D-dimensional de Sitter spacetime. By deforming the contour of integration we present it in a form…

High Energy Physics - Theory · Physics 2009-10-30 Alan Chodos , Andras Kaiser

We study a finite temperature two-loop resummed effective potential in the Abelian gauge theory. A tractable calculation scheme without using a high-temperature expansion is devised. We apply it to the Abelian-Higgs model and its extension…

High Energy Physics - Phenomenology · Physics 2013-03-14 Koichi Funakubo , Eibun Senaha

Dynamical fermions induce via the fermion determinant a gauge-invariant effective action. In principle, this effective action can be added to the usual gauge action in simulations, reproducing the effects of closed fermion loops. Using…

High Energy Physics - Lattice · Physics 2016-08-31 Peter N. Meisinger , Michael C. Ogilvie

Many physical systems including lattices near structural phase transitions, glasses, jammed solids, and bio-polymer gels have coordination numbers that place them at the edge of mechanical instability. Their properties are determined by an…

Soft Condensed Matter · Physics 2015-02-27 Xiaoming Mao , Anton Souslov , Carlos I. Mendoza , T. C. Lubensky

We study the pure-gauge QCD phase transition at finite temperatures in the dual Ginzburg-Landau theory, an effective theory of QCD based on the dual Higgs mechanism. We formulate the effective potential at various temperatures by…

High Energy Physics - Phenomenology · Physics 2016-09-01 Hiroko Ichie , Hideo Suganuma , Hiroshi Toki

We study the symmetry breaking and restoration behavior of a self-interacting charged scalar field theory under the influence of a constant electric field and finite temperature. Our study is performed in the context of the optimized…

High Energy Physics - Phenomenology · Physics 2025-01-07 William R. Tavares , Rudnei O. Ramos , Ricardo L. S. Farias , Sidney S. Avancini

The high-temperature limit of the 2-loop effective potential for the Higgs field is calculated from an effective 3d theory, in a general covariant gauge. It is shown explicitly that a gauge-independent result can be extracted for the…

High Energy Physics - Phenomenology · Physics 2010-11-01 M. Laine

The evaluation of effective potentials is critical for a range of phenomenological applications, including inflation, vacuum stability, and phase transitions. A drawback arises from the gauge-dependence of the effective potential.…

High Energy Physics - Theory · Physics 2025-07-31 Debanjan Balui , Tisa Biswas , Joydeep Chakrabortty , Debmalya Dey , Christoph Englert , Subhendra Mohanty

The $O(3)$ nonlinear $\sigma$ model is studied in the disordered phase, using the techniques of the effective action and finite temperature field theory. The nonlinear constraint is implemented through a Lagrange multiplier. The finite…

Condensed Matter · Physics 2009-10-22 D. Senechal

The finite-temperature effective potential of the O(N) linear \sigma model is studied, with emphasis on the implications for the investigation of hot hadron dynamics. The contributions from all the ``bubble diagrams'' are fully taken into…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Amelino-Camelia

We study a dilute and ultracold Bose gas of interacting atoms by using an effective field theory which takes account finite-range effects of the inter-atomic potential. Within the formalism of functional integration from the grand canonical…

Quantum Gases · Physics 2017-04-06 A. Cappellaro , L. Salasnich

One of the salient features of high temperature gluodynamics is the Z(N) groundstate degeneracy, key to the understanding of the transition. On the other hand impressive progress has been obtained with effective theories, that seemingly…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Bronoff , R. Buffa , C. P. Korthals Altes

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 effective potential of electroweak theory with two massless Higgs doublets at finite temperature is studied. We investigate phase structure and critical temperature in this model by numerical analysis without high-temperature expansion.…

High Energy Physics - Phenomenology · Physics 2017-02-01 K. Funakubo , A. Kakuto , K. Takenaga
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