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To model the dynamics of the chiral order parameter in a far from equilibrium QCD phase transition, we consider quenching in the O(4) linear sigma model. We summarize arguments and numerical evidence which show that in the period…

高能物理 - 唯象学 · 物理学 2009-10-22 Krishna Rajagopal

In QCD with two massless quarks, the chiral phase transition is plausibly in the same universality class as the classical O(4) magnet. To test this hypothesis, critical exponents characterizing the behaviour of universal quantities near the…

高能物理 - 唯象学 · 物理学 2016-11-03 Krishna Rajagopal

Within the context of the linear $\s$-model for two flavours, we investigate non-equilibrium phenomena that may occur during the QCD chiral phase transition in heavy-ion collisions. We assume that the chiral symmetry breaking is followed by…

高能物理 - 唯象学 · 物理学 2017-08-23 E. N. Saridakis , N. G. Antoniou , F. K. Diakonos , N. Tetradis

I sketch how long wavelength modes of the pion field can be amplified during the QCD phase transition. If nature had been kinder, and had made the pion mass significantly less than the critical temperature for the transition, then this…

高能物理 - 唯象学 · 物理学 2007-05-23 Krishna Rajagopal

We show how parametric resonance mechanism follows quench mechanism in the classical linear sigma model. The parametric resonance amplifies long wavelength modes of the pion for more than $10 fm/c$. The shifting from the quench mechanism to…

高能物理 - 唯象学 · 物理学 2009-11-07 S. Maedan

In QCD with two flavors of massless quarks, the chiral phase transition is plausibly in the same universality class as the classical four component Heisenberg antiferromagnet. Therefore, renormalization group techniques developed in the…

高能物理 - 唯象学 · 物理学 2009-10-22 K. Rajagopal , F. Wilczek

The nonequilibrium dynamics of the chiral phase transition expected during the expansion of the quark-qluon plasma produced in a high energy hadron or heavy ion collision is studied in the O(4) linear sigma model to leading order in a large…

高能物理 - 唯象学 · 物理学 2009-10-28 Fred Cooper , Yuval Kluger , Emil Mottola , Juan Pablo Paz

The time evolution of quantum meson fields in the O(4) linear sigma model is investigated in a context of the dynamical chiral phase transition. It is shown that amplitudes of quantum pion modes are amplified due to both mechanisms of a…

高能物理 - 唯象学 · 物理学 2009-11-07 Y. Tsue

We study the real-time dynamics of the order parameter $<\sigma(t)>$ in the Ising field theory after a quench in the fermion mass, which corresponds to a quench in the transverse field of the corresponding transverse field Ising chain. We…

强关联电子 · 物理学 2013-01-14 Dirk Schuricht , Fabian H. L. Essler

We study the dynamics of the chiral phase transition expected during the expansion of the quark-gluon plasma produced in a high energy hadron or heavy ion collision in the $O(4)$ linear sigma model to leading order in a large $N$ expansion…

高能物理 - 唯象学 · 物理学 2007-05-23 Yuval Kluger

It is shown that there exists a possibility of amplification of amplitudes of quantum pion modes with low momenta in the late time of chiral phase transition by using the Gaussian wave functional approximation in the O(4) linear sigma…

高能物理 - 唯象学 · 物理学 2009-11-10 K. Watanabe , Y. Tsue , S. Nishiyama

We study the onset of a classical order parameter after a second-order phase transition in quantum field theory. We consider a quantum scalar field theory in which the system-field (long-wavelength modes), interacts with its environment,…

高能物理 - 唯象学 · 物理学 2015-06-25 F. C. Lombardo , F. D. Mazzitelli , R. J. Rivers

In the first part we study the possibility that a Disoriented Chiral Condensate (DCC) forms when hot hadronic matter is quenched, using the linear sigma model. We formulate an original sampling strategy for the initial field configuration…

高能物理 - 唯象学 · 物理学 2007-05-23 Julien Serreau

The dynamics of the pion field after a quench is studied in the framework of the linear sigma model. Our aim is to determine to what extent the amplified pion field resembles the DCC picture originally proposed in the early '90s. We present…

高能物理 - 唯象学 · 物理学 2009-10-31 J. Serreau

The dynamics of symmetry-breaking after a quench is numerically simulated on a lattice for the (2+1)-dimensional O(3) model. In addition to the standard sigma-model with temperature-dependent Phi^4-potential the energy functional includes a…

高能物理 - 唯象学 · 物理学 2013-05-29 G. Holzwarth

I present an analysis of the relaxation rate for long-wavelength fluctuations of the order parameter in an O(N) scalar theory near the critical point. Our motivation is to model the non-equilibrium dynamics of critical fluctuations near the…

高能物理 - 唯象学 · 物理学 2009-10-31 Michele Simionato

We present a detailed numerical and analytical study of the out-of-equilibrium dynamics of Model G, the dynamical universality class relevant to the chiral phase transition. We perform numerical 3D stochastic (Langevin) simulations of the…

高能物理 - 格点 · 物理学 2025-12-15 Adrien Florio , Eduardo Grossi , Aleksas Mazeliauskas , Alexander Soloviev , Derek Teaney

We examine the non-equilibrium time evolution of the hadronic plasma produced in a relativistic heavy ion collision, assuming a spherical expansion into the vacuum. We study the $O(4)$ linear sigma model to leading order in a large-$N$…

高能物理 - 理论 · 物理学 2014-11-18 Melissa A. Lampert , John F. Dawson , Fred Cooper

We analyze the onset of classical field configurations after a phase transition. Firstly, we motivate the problem by means of a toy model in quantum mechanics. Subsequently, we consider a scalar field theory in which the system-field…

高能物理 - 唯象学 · 物理学 2007-05-23 F. C. Lombardo , R. J. Rivers , F. D. Mazzitelli

Considering a variety of dynamical scenarios within the linear sigma model, we examine the conditions for pionic modes to be amplified as the chiral field relaxes towards the normal vacuum following the transient restoration of approximate…

高能物理 - 唯象学 · 物理学 2009-10-28 J. Randrup
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