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We consider the evolution of critical temperature both for the formation of a pion condensate as well as for the chiral transition, from the perspective of the linear sigma model, in the background of a magnetic field. We developed the…

High Energy Physics - Phenomenology · Physics 2014-09-05 Alejandro Ayala , M. Loewe , C. Villavicencio , R. Zamora

We review recent progress in the description and understanding of disoriented chiral condensates. Certain important unsolved issues are underlined, and the preliminary results of our program of investigation of these issues in the framework…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Amelino-Camelia , J. D. Bjorken , S. E. Larsson

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…

High Energy Physics - Phenomenology · Physics 2009-10-28 Fred Cooper , Yuval Kluger , Emil Mottola , Juan Pablo Paz

A summary is given of a quantization of the multiflavour Schwinger model on a finite-temperature cylinder with chirality-breaking boundary conditions at its spatial ends, and it is shown that the analytic expression for the chiral…

High Energy Physics - Theory · Physics 2007-05-23 Stephan Dürr

We study the chiral condensate at finite temperature in AdS/QCD in a time-dependent background, in which the position of the black-hole horizon $z_h$ changes with time, producing an increasing or decreasing temperature. Conformal invariance…

High Energy Physics - Phenomenology · Physics 2025-03-27 Floriana Giannuzzi , Stefano Nicotri

It is thought that a region of pseudo-vacuum, where the chiral order parameter is misaligned from its vacuum orientation in isospin space, might occasionally form in high energy hadronic or nuclear collisions. The possible detection of such…

High Energy Physics - Phenomenology · Physics 2009-11-11 Bedanga Mohanty , Julien Serreau

From the non-extensive statistical mechanics, we investigate the chiral phase transition at finite temperature $T$ and baryon chemical potential $\mu_B$ in the framework of the linear sigma model. The corresponding non-extensive…

Nuclear Theory · Physics 2017-12-01 Ke-Ming Shen , Hui Zhang , De-Fu Hou , Ben-Wei Zhang , En-Ke Wang

Diluted mean-field models are graphical models in which the geometry of interactions is determined by a sparse random graph or hypergraph. Based on a nonrigorous but analytic approach called the "cavity method", physicists have predicted…

Combinatorics · Mathematics 2016-06-23 Victor Bapst , Amin Coja-Oghlan , Felicia Raßmann

Working in the linear sigma model with quarks, we compute the finite-temperature effective potential in the presence of a weak magnetic field, including the contribution of the pion ring diagrams and considering the sigma as a classical…

High Energy Physics - Phenomenology · Physics 2014-11-18 Alejandro Ayala , Adnan Bashir , Alfredo Raya , Angel Sánchez

We address the issue of whether a region of disordered chiral condensate (DCC), in which the chiral condensate has components along the pion directions, can form. We consider a system going through the chiral phase transition either via a…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Boyanovsky , H. J. de Vega , R. Holman

Rajagopal and Wilczek have proposed that relativistic nuclear collisions can generate domains in which the chiral condensate is disoriented. If sufficiently large ({\it i.e.} nucleus sized), such domains can yield measurable fluctuations in…

High Energy Physics - Phenomenology · Physics 2009-10-22 Sean Gavin , Andreas Gocksch , Robert D. Pisarski

Chiral phase transition in thermal QCD is studied by using the Dyson-Schwinger (DS) equation in the real time hard thermal loop approximation. Our results on the critical temperature and the critical coupling are significantly different…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hisao Nakkagawa , Hiroshi Yokota , Koji Yoshida , Yuko Fueki

The Dirac oscillator in a homogenous magnetic field exhibits a chirality phase transition at a particular (critical) value of the magnetic field. Recently, this system has also been shown to be exactly solvable in the context of…

Statistical Mechanics · Physics 2020-04-21 Antonia M. Frassino , Dimitri Marinelli , Orlando Panella , Pinaki Roy

The CP-restoring phase transition at theta = pi and high temperature is investigated using two related models that aim to describe the low-energy phenomenology of QCD, the NJL model and the linear sigma model coupled to quarks. Despite many…

High Energy Physics - Phenomenology · Physics 2009-11-19 Jorn K. Boomsma , Daniel Boer

The low energy dynamics of a certain D-brane configuration in string theory is described at weak t'Hooft coupling by a non-local version of the Nambu-Jona-Lasinio model. We study this system at finite temperature and strong t'Hooft…

High Energy Physics - Theory · Physics 2008-11-26 Andrei Parnachev , David A. Sahakyan

Chiral restoration phase transition in hot and/or dense hadronic matter is discussed in terms of the BR scaling based on chiral symmetry and scale anomaly of QCD. The precise connection between the scalar field that figures in the trace…

High Energy Physics - Phenomenology · Physics 2014-11-17 G. E. Brown , Mannque Rho

Sigma decay and its relation with chiral phase transition are discussed at finite temperature and density in the framework of the Nambu-Jona-Lasinio model. The decay rate for the process sigma -> 2 pions to first order in a 1/N_c expansion…

Nuclear Theory · Physics 2009-11-06 P. Zhuang , Z. Yang

We present a phase field model of solidification which includes the effects of the crystalline orientation in the solid phase. This model describes grain boundaries as well as solid-liquid boundaries within a unified framework. With an…

Materials Science · Physics 2009-11-07 Alexander E. Lobkovsky , James A. Warren

We argue that the chiral phase transition and the deconfinement phase transition in finite temperature QCD are just different limits of a single crossover phase transition driven by the lightest scalar field which is a mixture of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yoshitaka Hatta , Kenji Fukushima

We generalize our previous model to an O(N) symmetric two-dimensional model which possesses chiral symmetry breaking and superconducting (Cooper pair condensates) phases at large-N. At zero temperature and density, the model can be solved…

High Energy Physics - Phenomenology · Physics 2009-10-31 Alan Chodos , Fred Cooper , Wenjin Mao , Hisakazu Minakata , Anupam Singh