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We study elastic systems such as interfaces or lattices, pinned by quenched disorder. To escape triviality as a result of ``dimensional reduction'', we use the functional renormalization group. Difficulties arise in the calculation of the…

Condensed Matter · Physics 2009-07-10 Pierre Le Doussal , Kay Joerg Wiese , Pascal Chauve

We compare results from the Polyakov linear-sigma model (PLSM) in optimized perturbation theory (OPT) with the mean-field approximation (MFA). At finite temperatures and chemical potentials, the chiral condensates and the decofinement order…

High Energy Physics - Phenomenology · Physics 2020-03-31 Abdel Nasser Tawfik , Carsten Greiner , Abdel Magied Diab , M. T. Ghoneim , H. Anwer

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

We present three-loop formulas for the additive renormalization constant A(u,epsilon) and associated renormalization group function B(u) for the specific heat of the O(n) symmetric phi^4 model. Using this result, we obtain also the…

Statistical Mechanics · Physics 2007-05-23 Stuart S. C. Burnett

An accurate description of the scalar potential at finite temperature is crucial for studying cosmological first-order phase transitions (FOPT) in the early Universe. At finite temperatures, a precise treatment of thermal resummations is…

High Energy Physics - Phenomenology · Physics 2025-12-05 Pedro Bittar , Subhojit Roy , Carlos E. M. Wagner

The renormalization group method is applied to the three-loop effective potential of the massive $\phi^4$ theory in the $\bar{\rm MS}$ scheme in order to obtain the next-next-next-to-leading logarithm resummation. For this, we exploit…

High Energy Physics - Theory · Physics 2008-11-26 J. -M. Chung , B. K. Chung

In this work, we introduce a new approach for constructing a renormalized and regularized Fock matrix for self-consistent field calculations. The scheme relies on second-order perturbation theory and is conceptually related to quasiparticle…

Chemical Physics · Physics 2026-01-06 Joshua Krieger , Johannes Tölle

In this paper we discuss and revisit the finite temperature extension of the renormalization group (RG) treatment of $T=0$ field theories, focusing as a case study on the $\phi^4$ model. We first discuss the extension of RG equations of the…

High Energy Physics - Theory · Physics 2025-10-17 István Gábor Márián , Andrea Trombettoni , István Nándori

Perturbation theory (PT) calculation of large-scale structure has been used to interpret the observed non-linear statistics of large-scale structure at the quasi-linear regime. In particular, the so-called standard perturbation theory (SPT)…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-05 Atsushi Taruya , Takahiro Nishimichi , Donghui Jeong

We study conformal field theories at finite temperature in the presence of a temporal conformal line defect, wrapping the thermal circle, akin to a Polyakov loop in gauge theories. Although several symmetries of the conformal group are…

High Energy Physics - Theory · Physics 2025-03-10 Julien Barrat , Bartomeu Fiol , Enrico Marchetto , Alessio Miscioscia , Elli Pomoni

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

Quantum systems are inherently sensitive to environmental noise and imperfections in external control fields, posing a significant challenge for the practical implementation of quantum technologies. These noise sources degrade the fidelity…

Quantum Physics · Physics 2026-05-05 Aviv Aroch , Shimshon Kallush , Ronnie Kosloff

High temperature expansions for the susceptibility and the second correlation moment of the classical N-vector model (also known as the O(N) symmetric Heisenberg classical spin model or the as the lattice O(N) nonlinear sigma model) on the…

High Energy Physics - Lattice · Physics 2009-10-30 P. Butera , M. Comi

This paper provides a study and discussion of earlier as well as novel more efficient schemes for the precise evaluation of finite-temperature response functions of strongly correlated quantum systems in the framework of the time-dependent…

Quantum Physics · Physics 2013-07-19 Thomas Barthel

We propose a renormalon-inspired resummation of QCD perturbation theory based on approximating the renormalization scheme (RS) invariant effective charge beta-function coefficients by the portion containing the highest power of…

High Energy Physics - Phenomenology · Physics 2009-10-28 C. J. Maxwell , D. G. Tonge

We present a renormalization group (RG) approach to explain universal features of extreme statistics, applied here to independent, identically distributed variables. The outlines of the theory have been described in a previous Letter, the…

Statistical Mechanics · Physics 2015-05-18 G. Gyorgyi , N. R. Moloney , K. Ozogany , Z. Racz , M. Droz

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

McDonald (2007) presented an approach to improving perturbation theory (PT) calculations of the dark matter power spectrum, with a derivation based on the idea of renormalization group flow with time. In spite of a questionable…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-31 Patrick McDonald

Using resummation in perturbation theories at finite temperature or in non-equilibrium is unavoidable to obtain consistent results. Resummation, however, is often in conflict with renormalization. In this talk we give two possible solutions…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Jakovac , Zs. Szep

We present an approximation scheme of the nonperturbative renormalization group that preserves the momentum dependence of correlation functions. This approximation scheme can be seen as a simple improvement of the local potential…

Statistical Mechanics · Physics 2018-05-24 Félix Rose , Nicolas Dupuis