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We study the scaling behaviors of the active model B+ using the functional renormalization group (FRG) approach, based on the nonequilibrium effective action formulated via the Martin-Siggia-Rose path-integral formalism. We derive the…

统计力学 · 物理学 2026-01-28 Gergely Fejős , Zsolt Szép , Naoki Yamamoto

Approximated functional renormalization group (FRG) equations lead to regulator-dependent $\beta$-functions, in analogy to the scheme-dependence of the perturbative renormalization group (pRG) approach. A scheme transformation redefines the…

高能物理 - 理论 · 物理学 2024-07-16 S. Hariharakrishnan , U. D. Jentschura , I. G. Marian , K. Szabo , I. Nandori

We propose quite a new method of analyzing the dynamical chiral symmetry breaking in gauge theories. Starting with the non-perturbative renormalization group equation for the Wilsonian fermion potential, we define the weak solution of it in…

高能物理 - 理论 · 物理学 2017-08-23 Ken-Ichi Aoki , Shin-Ichiro Kumamoto , Daisuke Sato

The chiral phase transition in QCD at finite chemical potential and temperature can be characterized for small chemical potential by its curvature and the transition temperature. The curvature is accessible to QCD lattice simulations, which…

高能物理 - 唯象学 · 物理学 2012-07-03 Jens Braun , Bertram Klein , Bernd-Jochen Schaefer

We study the effect of a partially thermalized scenario for chiral symmetry restoration at finite temperature and quark chemical potential, and in particular for the position of the critical end point in an effective description of the QCD…

高能物理 - 唯象学 · 物理学 2018-12-19 Alejandro Ayala , Martin Hentschinski , Luis Alberto Hernandez , Marcelo Loewe , Renato Zamora

In this paper, we investigate the impact of renormalization group (RG) consistency on the chiral phase transition and thermodynamic properties of QCD matter using the RGNJL and RGPNJL models. By implementing a temperature-dependent thermal…

高能物理 - 唯象学 · 物理学 2026-05-12 Jie Tang , Fan Lin , Xinyang Wang

We expand upon on an earlier renormalization group analysis of a non-Fermi liquid fixed point that plausibly govers the two dimensional electron liquid in a magnetic field near filling fraction $\nu=1/2$. We give a more complete description…

凝聚态物理 · 物理学 2009-10-22 Chetan Nayak , Frank Wilczek

We investigate the chiral sine-Gordon model using the renormalization group method. The chiral sine-Gordon model is a model for $G$-valued fields and describes a new class of phase transitions, where $G$ is a compact Lie group. We show that…

高能物理 - 理论 · 物理学 2017-02-22 Takashi Yanagisawa

We show that the functional renormalization group (FRG) allows for the calculation of the probability distribution function of the sum of strongly correlated random variables. On the example of the three-dimensional Ising model at…

统计力学 · 物理学 2023-01-11 I. Balog , A. Rançon , B. Delamotte

The folklore tradition about the QCD phase diagram is that at the chiral restoration phase transition at finite density hadrons are deconfined and there appears the quark matter. We address this question within the only known exactly…

高能物理 - 唯象学 · 物理学 2008-11-26 L. Ya. Glozman , R. F. Wagenbrunn

Soft functions defined in terms of matrix elements of soft fields dressed by Wilson lines are central components of factorization theorems for cross sections and decay rates in collider and heavy-quark physics. While in many cases the…

高能物理 - 唯象学 · 物理学 2020-08-26 Ze Long Liu , Bianka Mecaj , Matthias Neubert , Xing Wang , Sean Fleming

Rank-d Tensorial Group Field Theories are quantum field theories defined on a group manifold $G^{\times d}$, which represent a non-local generalization of standard QFT, and a candidate formalism for quantum gravity, since, when endowed with…

高能物理 - 理论 · 物理学 2016-07-13 Joseph Ben Geloun , Riccardo Martini , Daniele Oriti

The dynamical density fluctuations around QCD critical point (CP) are analyzed using relativistic dissipative fluid dynamics, and we show that the sound mode around the QCD CP is strongly attenuated whereas the thermal fluctuation stands…

高能物理 - 唯象学 · 物理学 2009-11-18 Teiji Kunihiro , Yuki Minami , Kyosuke Tsumura

We study higher derivative extension of the functional renormalization group (FRG). We consider FRG equations for a scalar field that consist of terms with higher functional derivatives of the effective action and arbitrary cutoff…

高能物理 - 理论 · 物理学 2022-07-15 Gota Tanaka , Asato Tsuchiya

Studies of the QCD phase diagram must properly include nucleonic degrees of freedom and their thermodynamics in the range of baryon chemical potentials characteristic of nuclear matter. A useful framework for incorporating relevant nuclear…

高能物理 - 唯象学 · 物理学 2014-01-27 Matthias Drews , Thomas Hell , Bertram Klein , Wolfram Weise

We study the nature of the finite-temperature chiral transition in QCD with N_f light quarks in the adjoint representation (aQCD). Renormalization-group arguments show that the transition can be continuous if a stable fixed point exists in…

高能物理 - 理论 · 物理学 2009-11-10 Francesco Basile , Andrea Pelissetto , Ettore Vicari

We apply the functional Renormalisation Group (fRG) to study relaxation in a stochastic process governed by an overdamped Langevin equation with one degree of freedom, exploiting the connection with supersymmetric quantum mechanics in…

统计力学 · 物理学 2023-06-06 Ashley Wilkins , Gerasimos Rigopoulos , Enrico Masoero

According to the available publications, the field theoretical renormalization group (RG) approach in the two-dimensional case gives the critical exponents that differ from the known exact values. This fact was attempted to explain by the…

统计力学 · 物理学 2009-11-13 A. A. Pogorelov , I. M. Suslov

We analyze the dynamical chiral symmetry breaking in gauge theories solely by the non-perturbative renormalization group, without recourse to the Schwinger-Dyson method. First, we briefly review the basic notions and formulation, and…

高能物理 - 唯象学 · 物理学 2007-05-23 Ken-Ichi Aoki

Several lattice collaborations performing simulations with 2+1 light dynamical quarks have experienced difficulties in fitting their data with standard Nf=3 chiral expansions at next-to-leading order, yielding low values of the quark…

高能物理 - 唯象学 · 物理学 2011-03-03 V. Bernard , S. Descotes-Genon , G. Toucas
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