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We reconsider our former determination of the chiral quark condensate $\langle \bar q q \rangle$ from the related QCD spectral density of the Euclidean Dirac operator, using our Renormalization Group Optimized Perturbation (RGOPT) approach.…

High Energy Physics - Phenomenology · Physics 2020-04-15 Jean-Loic Kneur , André Neveu

The spatial momentum dependence of the spectral function for pi and sigma at finite temperature is studied by employing the O(4) linear sigma model and adopting a resummation technique called optimized perturbation theory (OPT).

High Energy Physics - Phenomenology · Physics 2014-11-17 Yoshimasa Hidaka , Osamu Morimatsu , Tetsuo Nishikawa

Standard perturbation theory (SPT) for large-scale matter inhomogeneities is unsatisfactory for at least three reasons: there is no clear expansion parameter since the density contrast is not small on all scales; it does not fully account…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Enrico Pajer , Matias Zaldarriaga

The self-gravitating thermal gas (non-relativistic particles of mass m at temperature T) is exactly equivalent to a field theory with a single scalar field phi(x) and exponential self-interaction. We build up perturbation theory around a…

Astrophysics · Physics 2009-10-31 B. Semelin , H. J. de Vega , N. S'anchez , F. Combes

A renormalized one-loop theory (ROL) is used to calculate corrections to the random phase approximation (RPA) for the structure factor $\Sc(q)$ in disordered diblock copolymer melts. Predictions are given for the peak intensity…

Soft Condensed Matter · Physics 2015-05-28 Jian Qin , Piotr Grzywacz , David C. Morse

The perturbative series for finite-temperature field theories has very poor convergence properties and one needs a way to reorganize it. In this talk, I review two ways of reorganizing the perturbative series for field theories at finite…

High Energy Physics - Phenomenology · Physics 2016-01-26 Jens O. Andersen , Najmul Haque , Munshi G. Mustafa , Michael Strickland , Nan Su

We show with several examples that renormalization group (RG) theory can be used to understand singular and reductive perturbation methods in a unified fashion. Amplitude equations describing slow motion dynamics in nonequilibrium phenomena…

Condensed Matter · Physics 2009-10-22 Lin-Yuan Chen , Nigel Goldenfeld , Y. Oono

We consider the two-dimensional random-phase sine-Gordon and study the vicinity of its glass transition temperature $T_c$, in an expansion in small $\tau=(T_c-T)/T_c$, where $T$ denotes the temperature. We derive renormalization group…

Disordered Systems and Neural Networks · Physics 2012-08-06 Zoran Ristivojevic , Pierre Le Doussal , Kay Jörg Wiese

There has been significant progress in our understanding of finite-temperature field theory over the past decade. In this paper, we review the progress in perturbative thermal field theory focusing on thermodynamic quantities. We first…

High Energy Physics - Phenomenology · Physics 2009-09-29 Jens O. Andersen , M. Strickland

We propose a nonperturbative scheme for the calculation of thermal damping-rates using exact renormalization group (RG)-equations. Special emphasis is put on the thermal RG where first results for the rate were given in M. Pietroni, Phys.…

High Energy Physics - Phenomenology · Physics 2009-10-31 Bastian Bergerhoff , Juergen Reingruber

In-medium Yukawa theory is part of the thermodynamics of the Standard Model of particle physics and is one of the main building blocks of most effective field theories of fermionic systems. By computing its pressure we investigate the…

High Energy Physics - Phenomenology · Physics 2009-09-24 Eduardo S. Fraga , Leticia F. Palhares , Marcus Benghi Pinto

A renormalization group (RG) analysis of the superconductive instability of an anisotropic fermionic system is developed at a finite temperature. The method appears a natural generalization of Shankar's approach to interacting fermions and…

Condensed Matter · Physics 2009-10-28 Fabio Siringo , Giuseppe G. N. Angilella , Renato Pucci

A recently developed variational resummation technique incorporating renormalization group properties has been shown to solve the scale dependence problem that plagues the evaluation of thermodynamical quantities, e.g., within the framework…

High Energy Physics - Phenomenology · Physics 2018-05-23 Gabriel N. Ferrari

The renormalization group (RG) equation in the self-consistent local potential approximation (SC-LPA) suggested earlier for the description of continuous phase transitions in lattice models of the Landau-Ginzburg type has been applied to…

Statistical Mechanics · Physics 2021-03-24 V. I. Tokar

We study the critical behavior and phase diagram of the $d$-dimensional random field O(N) model by means of the nonperturbative functional renormalization group approach presented in the preceding paper. We show that the dimensional…

Statistical Mechanics · Physics 2011-07-20 Matthieu Tissier , Gilles Tarjus

The conventional weak-coupling expansion for thermodynamic quantities in hot field theories shows poor convergence unless the coupling constant is tiny. I discuss screened perturbation theory (SPT) which is a way of reorganizing the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Jens O. Andersen

We develop a dynamic field-theoretic renormalization-group (RG) theory for the cooling first-order phase transitions in the Potts model. It is suggested that the well-known imaginary fixed points of the $q$-state Potts model for $q>10/3$ in…

Statistical Mechanics · Physics 2017-03-22 Ning Liang , Fan Zhong

We discuss reorganizing finite temperature perturbation theory using hard-thermal-loop (HTL) perturbation theory in order to improve the convergence of successive perturbative approximations to the free energy of a gauge theory. We briefly…

High Energy Physics - Phenomenology · Physics 2010-11-01 Michael Strickland , Nan Su , Jens O. Andersen

Based only on simple principles of renormalization in coordinate space, we derive closed renormalized amplitudes and renormalization group constants at 1- and 2-loop orders for scalar field theories in general backgrounds. This is achieved…

High Energy Physics - Theory · Physics 2015-06-26 J. Comellas , P. E. Haagensen , J. I. Latorre

The values of the presently available truncated perturbative expressions for the pressure of the quark-gluon plasma at finite temperatures and finite chemical potential are trustworthy only at very large energies. When used down to…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Cvetic , R. Koegerler