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We present a functional renormalization group approach for the active to inactive phase transition in directed percolation type systems, in which the transition is approached from the active, finite density phase. By expanding the effective…

统计力学 · 物理学 2016-08-24 Michael Buchhold , Sebastian Diehl

The phase transition to superfluidity and the BCS-BEC crossover for an ultracold gas of fermionic atoms is discussed within a functional renormalization group approach. Non-perturbative flow equations, based on an exact renormalization…

量子气体 · 物理学 2015-03-13 S. Diehl , S. Floerchinger , H. Gies , J. M. Pawlowski , C. Wetterich

We introduce a real-space renormalisation group procedure for driven diffusive systems which predicts both steady state and dynamic properties. We apply the method to the boundary driven asymmetric simple exclusion process and recover exact…

统计力学 · 物理学 2009-11-11 T. Hanney , R. B. Stinchcombe

Global changes of states are of crucial importance in optimization algorithms. We review some heuristic algorithms in which global updates are realized by a sort of real-space renormalization group transformation. Emphasis is on the…

无序系统与神经网络 · 物理学 2009-10-31 Naoki Kawashima

The Functional Renormalisation Group approach is applied the imbalanced many-fermion systems. The system is found to exhibit the first order phase transition from the superfluid to normal phase when the density (chemical potential) mismatch…

量子气体 · 物理学 2015-10-20 Boris Krippa

Modern techniques of the renormalization group (RG) combined with effective field theory (EFT) methods are revolutionizing nuclear many-body physics. In these lectures we will explore the motivation for RG in low-energy nuclear systems and…

核理论 · 物理学 2015-06-04 R. J. Furnstahl

Functional renormalisation group approach is applied to a system of kaons with finite chemical potential. A set of approximate flow equations for the effective couplings is derived and solved. At high scale the system is found to be at the…

核理论 · 物理学 2017-06-07 Boris Krippa

A new operator formalism for the reduction of degrees of freedom in the evolution of discrete partial differential equations (PDE) via real space Renormalization Group is introduced, in which cell-overlapping is the key concept.…

统计力学 · 物理学 2009-11-07 Andreas Degenhard , Javier Rodriguez-Laguna

We present the formalism for consistently transforming transition operators within the in-medium similarity renormalization group framework. We implement the operator transformation in both the equations-of-motion and valence-space…

核理论 · 物理学 2017-10-04 N. M. Parzuchowski , S. R. Stroberg , P. Navrátil , H. Hergert , S. K. Bogner

This article presents a tutorial introduction to a recently developed real-time renormalization group method. It describes nonequilibrium properties of discrete quantum systems coupled linearly to an environment. We illustrate the technique…

介观与纳米尺度物理 · 物理学 2007-05-23 Herbert Schoeller

Fermionic functional renormalization group (FRG) is applied to describe the superfluid phase transition of the two-component fermionic system with attractive contact interaction. Connection between the fermionic FRG approach and the…

量子气体 · 物理学 2014-08-19 Yuya Tanizaki , Gergely Fejős , Tetsuo Hatsuda

We review here the construction of a translation-invariant scalar model which was proved to be perturbatively renormalizable on Moyal space. Some general considerations on nonlocal renormalizability are given. Finally, we present…

高能物理 - 理论 · 物理学 2010-06-09 Adrian Tanasa

After some introductory remarks about the prospects of first order phase transitions in the early universe, we discuss in some detail the electroweak phase transition. In the standard model case a clear picture is arising including…

高能物理 - 唯象学 · 物理学 2007-05-23 M. G. Schmidt

Renormalization is a powerful technique in statistical physics to extract the large-scale behavior of interacting many-body models. These notes aim to give an introduction to perturbative methods that operate on the level of the stochastic…

统计力学 · 物理学 2023-03-09 Nikos Papanikolaou , Thomas Speck

I am showing how the ideas behind the renormalisation group can be generalised in order to produce the desired reduction in the degrees of freedom other that the ones considered up to now. Instead of looking only at the renormalisation…

高能物理 - 理论 · 物理学 2024-04-01 Andrei T. Patrascu

Talk presented at the conference Quarks `94: Vladimir, Russia. I review the successes and limitations of standard perturbative methods for studying the order and strength of the electroweak phase transition.

高能物理 - 唯象学 · 物理学 2007-05-23 Peter Arnold

Scalar field theory at finite temperature is investigated via an improved renormalization group prescription which provides an effective resummation over all possible non-overlapping higher loop graphs. Explicit analyses for the lambda…

高能物理 - 理论 · 物理学 2009-10-28 Sen-Ben Liao , Michael Strickland

We discuss some higher-loop studies of renormalization-group flows and fixed points in various quantum field theories.

高能物理 - 理论 · 物理学 2022-07-05 Robert Shrock

We derive a set of rotationally covariant amplitude equations for use in multiscale simulation of the two dimensional phase field crystal (PFC) model by a variety of renormalization group (RG) methods. We show that the presence of a…

斑图形成与孤子 · 物理学 2007-05-23 Badrinarayan P. Athreya , Nigel Goldenfeld , Jonathan A. Dantzig

The paper is devoted to a study of phase transitions in the Hermitian random matrix models with a polynomial potential. In an alternative equivalent language, we study families of equilibrium measures on the real line in a polynomial…

经典分析与常微分方程 · 数学 2014-10-28 A. Martinez-Finkelshtein , R. Orive , E. A. Rakhmanov