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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…

Statistical Mechanics · Physics 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…

Quantum Gases · Physics 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…

Statistical Mechanics · Physics 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…

Disordered Systems and Neural Networks · Physics 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…

Quantum Gases · Physics 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…

Nuclear Theory · Physics 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…

Nuclear Theory · Physics 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.…

Statistical Mechanics · Physics 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…

Nuclear Theory · Physics 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…

Mesoscale and Nanoscale Physics · Physics 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…

Quantum Gases · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Phenomenology · Physics 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…

Statistical Mechanics · Physics 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…

High Energy Physics - Theory · Physics 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.

High Energy Physics - Phenomenology · Physics 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…

High Energy Physics - Theory · Physics 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.

High Energy Physics - Theory · Physics 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…

Pattern Formation and Solitons · Physics 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…

Classical Analysis and ODEs · Mathematics 2014-10-28 A. Martinez-Finkelshtein , R. Orive , E. A. Rakhmanov