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Related papers: Dynamics near QCD critical point by dynamic renorm…

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We implement the dynamical renormalization group (DRG) using the hard thermal loop (HTL) approximation for the real-time nonequilibrium dynamics in hot plasmas. The focus is on the study of the relaxation of gauge and fermionic mean fields…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. J. de Vega

We present first calculations of critical spectral functions of the relaxational Models A, B, and C in the Halperin-Hohenberg classification using a real-time formulation of the functional renormalization group (FRG). We revisit the…

High Energy Physics - Phenomenology · Physics 2023-03-22 Johannes V. Roth , Lorenz von Smekal

Using one loop functional RG we study two problems of pinned elastic systems away from their equilibrium or steady states. The critical regime of the depinning transition is investigated starting from a flat initial condition. It exhibits…

Disordered Systems and Neural Networks · Physics 2009-11-11 Gregory Schehr , Pierre Le Doussal

The dynamics of an elastic medium driven through a random medium by a small applied force is investigated in the low-temperature limit where quantum fluctuations dominate. The motion proceeds via tunneling of segments of the manifold…

Disordered Systems and Neural Networks · Physics 2009-11-07 Denis A. Gorokhov , Daniel S. Fisher , Gianni Blatter

We calculate numerically the renormalization group (RG) flow of lattice QCD in two-coupling space, $(\beta_{1\times 1},\beta_{1\times 2})$. This is the first explicit calculation of the RG flow of SU(3) gauge theory. From the RG flow,a…

High Energy Physics - Lattice · Physics 2007-05-23 TARO Collaboration , Ph. de Forcrand et al

We derive the linear Langevin equation that describes the behavior of critical fluctuation above the critical temperature of the chiral phase transition in the Nambu-Jona-Lasinio model. The Langevin equation relaxes exhibiting oscillation…

Nuclear Theory · Physics 2007-05-23 T. Koide , M. Maruyama

We consider an initial value problem for shell models that mimic turbulent velocity fluctuations over a geometric sequence of scales. Our goal is to study the convergence of solutions in the inviscid (more generally, vanishing…

Analysis of PDEs · Mathematics 2025-08-07 Alexei A. Mailybaev

High resolution Neutron Spin Echo (NSE) spectroscopy was used to investigate the dynamics of an 3D Heisenberg ferromagnet in the exchange-controlled regime over a broad range of temperatures and momentum transfer. These results allow for…

Statistical Mechanics · Physics 2007-05-23 Michel Alba , Stephanie Pouget , Peter Fouquet , Bela Farago , Catherine Pappas

Critical behaviour of a nearly critical system, subjected to vivid turbulent mixing, is studied by means of the field theoretic renormalization group. Namely, relaxational stochastic dynamics of a non-conserved order parameter of the…

Statistical Mechanics · Physics 2015-03-20 N. V. Antonov , A. S. Kapustin

Ambiguities regarding the physics and the existence of the critical point (CP) on the QCD phase boundary still exist and the mist regarding the conjectured QCD phase boundary has not yet cleared. In this paper we extend our earlier study…

High Energy Physics - Phenomenology · Physics 2012-01-04 P. K. Srivastava , C. P. Singh

The space-time evolution of the hot and dense fireball of quarks and gluons produced in ultra-relativistic heavy-ion collisions at non-zero baryonic chemical potential and temperature has been studied by using relativistic viscous causal…

Nuclear Theory · Physics 2023-05-10 Sushant K. Singh , Jan-e Alam

Dynamic renormalization group (RG) of fluctuating viscoelastic equations is investigated to clarify the cause for numerically reported disappearance of anomalous heat conduction (recovery of Fourier's law) in low-dimensional…

Statistical Mechanics · Physics 2020-08-12 Dye SK Sato

The topological phase transitions in static and periodically driven Kitaev chains are investigated by means of a renormalization group (RG) approach. These transitions, across which the numbers of static or Floquet Majorana edge modes…

Strongly Correlated Electrons · Physics 2018-09-26 Paolo Molignini , Wei Chen , R. Chitra

The critical thermodynamics of the two-dimensional N-vector cubic and MN models is studied within the field-theoretical renormalization-group (RG) approach. The beta functions and critical exponents are calculated in the five-loop…

Statistical Mechanics · Physics 2009-11-10 P. Calabrese , E. V. Orlov , D. V. Pakhnin , A. I. Sokolov

The vulcanization transition - the crosslink-density-controlled equilibrium phase transition from the liquid to the amorphous solid state - is explored analytically from a renormalization group perspective. The analysis centers on a minimal…

Disordered Systems and Neural Networks · Physics 2009-10-31 Weiqun Peng , Paul M. Goldbart

A generalization of the Renormalization Group, which describes order-parameter fluctuations in finite systems, is developed in the specific context of percolation. This ``Stochastic Renormalization Group'' (SRG) expresses statistical…

Statistical Mechanics · Physics 2009-11-07 Martin Z. Bazant

We have used the relativistic second-order causal viscous hydrodynamics equipped with an equation of state which includes the QCD critical point to study the propagation of linear and nonlinear perturbations in quark gluon plasma created in…

Nuclear Theory · Physics 2023-07-28 Md Hasanujjaman

We show that renormalization group(RG) theory can be used to give an analytic description of the evolution of a perturbed KdV equation. The equations describing the deformation of its shape as the effect of perturbation are RG equations.…

Statistical Mechanics · Physics 2009-11-07 Tao Tu , Hua Sheng

We discuss how to derive a Langevin equation (LE) in non standard systems, i.e. when the kinetic part of the Hamiltonian is not the usual quadratic function. This generalization allows to consider also cases with negative absolute…

Statistical Mechanics · Physics 2018-04-12 M. Baldovin , A. Puglisi , A. Vulpiani

We study Langevin dynamics with noise projected onto the directions orthogonal to an isometric group action. This mathematical model is introduced to shed new light on the effects of symmetry on stochastic gradient descent for…

Probability · Mathematics 2026-02-13 Govind Menon , Austin J. Stromme , Adrien Vacher