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We give a comprehensive review of the renormalization group method for global and asymptotic analysis, putting an emphasis on the relevance to the classical theory of envelopes and the existence of invariant manifolds of the dynamics under…

patt-sol · Physics 2008-02-03 Teiji Kunihiro

The paradigm of the inflationary universe provides a possible explanation for several observed cosmological properties. In order for such solutions to be successful, the universe must convert the energy stored in the inflaton potential into…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-01 Leia Barrowes , Fred C. Adams , Anthony M. Bloch , John T. Giblin, , Scott Watson

We investigate the thermal properties of $\mathcal{PT}$-symmetric scalar field theories with purely imaginary couplings. The free energy governs the asymptotic density of states, providing an effective measure of the number of degrees of…

High Energy Physics - Theory · Physics 2026-04-10 Oleksandr Diatlyk , Andrei Katsevich , Fedor K. Popov

A new attempt is demonstrated that QFTs can be UV finite if they are viewed as the low energy effective theories of a fundamental underlying theory (that is complete and well-defined in all respects) according to the modern standard point…

High Energy Physics - Theory · Physics 2007-05-23 Jifeng Yang

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 advocate an effective field theory approach to anomalous couplings. The effective field theory approach is the natural way to extend the standard model such that the gauge symmetries are respected. It is general enough to capture any…

High Energy Physics - Phenomenology · Physics 2015-06-05 Celine Degrande , Nicolas Greiner , Wolfgang Kilian , Olivier Mattelaer , Harrison Mebane , Tim Stelzer , Scott Willenbrock , Cen Zhang

The general structure of the renormalization group equations for the low energy effective field theory formulation of pure gravity is presented. The solution of these equations takes a particular simple form if the mass scale of the…

High Energy Physics - Theory · Physics 2009-10-30 Mario Atance , Jose Luis Cortes

The structure of the renormalization group equations for the low energy effective theory of gravity coupled to a scalar field is presented. An approximate solution to these equations with a finite number of independent renormalized…

High Energy Physics - Phenomenology · Physics 2009-10-28 Mario Atance , José Luis Cortés

We demonstrate our simple strategy for renormalization with QED at one-loop level, basing on an elaboration of the effective field theory philosophy. No artificial regularization or deformation of the original theory is introduced here and…

High Energy Physics - Theory · Physics 2014-11-20 Ji-Feng Yang , Zhao-Ting Pan

A gauge-invariant framework for computing bubble nucleation rates at finite temperature in the presence of radiative barriers was presented and advocated for model-building and phenomenological studies in an accompanying article…

High Energy Physics - Phenomenology · Physics 2022-08-10 Joonas Hirvonen , Johan Löfgren , Michael J. Ramsey-Musolf , Philipp Schicho , Tuomas V. I. Tenkanen

The renormalization group is not only a powerful method for describing universal properties of phase transitions but it is also useful for evaluating non- universal properties beyond mean-field theory. In this contribution we concentrate on…

Condensed Matter · Physics 2009-11-07 Gernot Alber , Georgios Metikas

The one-loop renormalization of the action for a set Dirac fermions and a set of scalars spanning an arbitrary manifold coupled via Yukawa-like and gauge interactions is presented. The computation is performed with functional methods and in…

High Energy Physics - Phenomenology · Physics 2018-02-21 R. Alonso , K. Kanshin , S. Saa

At finite temperature and in non-equilibrium environments we have to resum perturbation theory to avoid infrared divergences. Since resummation shuffles the perturbative orders, renormalizability is a nontrivial issue. In this paper we…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. Jakovac

We discuss the formulation of "thermal renormalization group-equations" and their application to the finite temperature phase-transition of scalar O(N)-theories. Thermal renormalization group-equations allow for a computation of both the…

High Energy Physics - Phenomenology · Physics 2011-07-19 Bastian Bergerhoff , Juergen Reingruber

It is shown how quantum field theory at finite temperature can be used to set up self-consistent and gauge invariant equations for cosmological perturbations sustained by an ultrarelativistic plasma. While in the collisionless case, the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Anton K. Rebhan

Renormalizable theory of massive nonabelian gauge fields, which does not require the existence of observable scalar fields is proposed.

High Energy Physics - Theory · Physics 2018-02-14 Andrey Slavnov

Low-energy effective theories have been used very successfully to study the low-energy limit of QCD, providing us with results for a plethora of phenomena, ranging from bound-state formation to phase transitions in QCD. These theories are…

High Energy Physics - Phenomenology · Physics 2018-06-13 Jens Braun , Marc Leonhardt , Jan M. Pawlowski

In this talk we discuss enveloping algebra based noncommutative gauge field theory, constructed at the first order in noncommutative parameter theta, as an effective, anomaly free theory, with one-loop renormalizable gauge sector. Limits on…

High Energy Physics - Phenomenology · Physics 2009-01-12 Josip Trampetic

Standard entropy calculations in quantum field theory, when applied to a subsystem of definite volume, exhibit area-dependent UV divergences that make a thermodynamic interpretation troublesome. In this paper we define a renormalized…

High Energy Physics - Theory · Physics 2009-01-28 Sergio Cacciatori , Fabio Costa , Federico Piazza

We investigate the thermodynamics of integrable classical field theories under the effect of a random initial configuration, motivated by the nonequilibrium evolution of quantum field theories. The approach to thermal equilibrium is…

Statistical Mechanics · Physics 2016-10-05 P. E. G. Assis
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