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We study the dynamics of thermalization and the approach to equilibrium in the classical phi^4 theory in 1+1 spacetime dimensions. At thermal equilibrium we exploit the equivalence between the classical canonical averages and transfer…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Boyanovsky , C. Destri , H. J. de Vega

We study the universal critical behaviour near weakly first-order phase transitions for a three-dimensional model of two coupled scalar fields -- the cubic anisotropy model. Renormalization-group techniques are employed within the formalism…

High Energy Physics - Theory · Physics 2009-10-30 N. Tetradis

The phase transitions of random-field q-state Potts models in d=3 dimensions are studied by renormalization-group theory by exact solution of a hierarchical lattice and, equivalently, approximate Migdal-Kadanoff solutions of a cubic…

Statistical Mechanics · Physics 2021-09-15 Alpar Turkoglu , A. Nihat Berker

When studying the collective motion of biological groups a useful theoretical framework is that of ferromagnetic systems, in which the alignment interactions are a surrogate of the effective imitation among the individuals. In this context,…

Statistical Mechanics · Physics 2023-01-13 Andrea Cavagna , Antonio Culla , Tomás S. Grigera

We study the 3d effective field theory of a weakly coupled two Higgs-doublet scalar model at high temperature. Our model has three scalar quartic couplings and an $O(4)$ symmetry which is spontaneously broken by a nonzero scalar field $vev$…

High Energy Physics - Phenomenology · Physics 2010-11-01 Vidyut Jain , Aris Papadopoulos

We investigate phase transitions in scalar field theories using the functional renormalization group (RG) equation. We analyze a system with $U(2)\times U(2)$ symmetry, in which there is a parameter $\lambda_2$ that controls the strength of…

High Energy Physics - Phenomenology · Physics 2023-03-27 Kenji Fukushima , Kazuhiko Kamikado , Bertram Klein

Thermalization of classical fields is investigated in a \phi^4 scalar field theory in 1+1 dimensions, discretized on a lattice. We numerically integrate the classical equations of motion using initial conditions sampled from various…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gert Aarts , Gian Franco Bonini , Christof Wetterich

We study a $U(N)\times U(N)$ symmetric scalar field model in four and three dimensions. First, using our data in four dimensions in the weak coupling region, we demonstrate explicitly that the observed first order phase transition is…

High Energy Physics - Lattice · Physics 2009-10-22 Yue Shen

A first-order, confinement/deconfinement phase transition appears in the finite temperature behavior of many non-Abelian gauge theories. These theories play an important role in proposals for completion of the Standard Model of particle…

High Energy Physics - Lattice · Physics 2026-04-10 Ed Bennett , Biagio Lucini , David Mason , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino , Fabian Zierler

The renormalization group is applied to the phi4 model in the symmetry broken phase in order to identify different scaling regimes. The new scaling laws reflect nonuniversal behavior at the phase transition. The extension of the analysis to…

High Energy Physics - Theory · Physics 2007-05-23 Jean Alexandre , Vincenzo Branchina , Janos Polonyi

We review the use of an exact renormalization group equation in quantum field theory and statistical physics. It describes the dependence of the free energy on an infrared cutoff for the quantum or thermal fluctuations. Non-perturbative…

High Energy Physics - Phenomenology · Physics 2015-06-25 J. Berges , N. Tetradis , C. Wetterich

We developed a theory showing that under appropriate normalizations and rescalings, temperature response curves show a remarkably regular behavior and follow a general, universal law. The impressive universality of temperature response…

Other Quantitative Biology · Quantitative Biology 2026-02-24 Jose Ignacio Arroyo , Pablo A. Marquet , Christopher P. Kempes , Geoffrey West

The scaling theory of critical phenomena has been successfully extended for classical first order transitions even though the correlation length does not diverge in these transitions. In this paper we apply the scaling ideas to quantum…

Strongly Correlated Electrons · Physics 2009-11-10 Mucio A. Continentino , Andre S. Ferreira

It is explained how field-theoretic methods and the dynamic renormalisation group (RG) can be applied to study the universal scaling properties of systems that either undergo a continuous phase transition or display generic scale…

Statistical Mechanics · Physics 2011-03-28 Uwe C. Tauber

We study the impact of quantum and thermal fluctuations on properties of quantum phase transitions occurring in systems of itinerant fermions with main focus on the order of these transitions. Our approach is based on a set of flow…

Strongly Correlated Electrons · Physics 2009-11-13 P. Jakubczyk

Using renormalized field theory, we examine the dynamics of a growing surface, driven by an obliquely incident particle beam. Its projection on the reference (substrate) plane selects a ``parallel'' direction, so that the evolution equation…

Statistical Mechanics · Physics 2009-11-11 B. Schmittmann , Gunnar Pruessner , H. K. Janssen

Phase transitions, as one of the most intriguing phenomena in nature, are divided into first-order phase transitions (FOPTs) and continuous ones in current classification. While the latter shows striking phenomena of scaling and…

Statistical Mechanics · Physics 2025-07-21 Yuxiang Zhang , Fan Zhong

Using the twisted partition function on R^3 x S^1, we argue that the deconfinement phase transition in pure Yang-Mills theory for all simple gauge groups is continuously connected to a quantum phase transition that can be studied in a…

High Energy Physics - Theory · Physics 2015-06-12 Erich Poppitz , Thomas Schaefer , Mithat Unsal

We study the realization of dimensional reduction and the validity of the hard thermal loop expansion for lambda phi^4 theory at finite temperature, using an environmentally friendly finite-temperature renormalization group with a fiducial…

High Energy Physics - Theory · Physics 2009-11-10 C. R. Stephens , Axel Weber , Peter O. Hess , Francisco Astorga

The renormalization group method, more specifically the Wegner-Houghton equation, is used to find first order phase transitions in a simple scalar field theory with a polynomial potential. An improved definition of the running parameters…

High Energy Physics - Theory · Physics 2024-05-21 S. Nagy , J. Polonyi