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We calculate numerically the phase diagram of the three-flavor Nambu-Jona-Lasinio model at zero and finite temperature as a function of the up, down, and strange quark chemical potentials. We focus on the competition between pseudoscalar…

High Energy Physics - Phenomenology · Physics 2009-11-11 Harmen J. Warringa , Daniel Boer , Jens O. Andersen

The properties of two-flavored massive Nambu--Jona-Lasinio model in (1+1)-dimensional spacetime are investigated in the presence of isospin and quark number chemical potentials. The consideration is performed in the large-$N_c$ limit, where…

High Energy Physics - Phenomenology · Physics 2013-05-30 N. V. Gubina , K. G. Klimenko , S. G. Kurbanov , V. Ch. Zhukovsky

We present a brief introduction to QCD, the QCD phase diagram, and non-equilibrium phenomena in QCD. We emphasize aspects of the theory that can be addressed using computational methods, in particular euclidean path integral Monte Carlo,…

Nuclear Theory · Physics 2016-12-14 Thomas Schaefer

We discuss three applications of NJL- and PNJL-like models to assess aspects of the QCD phase diagram: First, we study the effect of mesonic correlations on the pressure below and above the finite temperature phase transition within a…

High Energy Physics - Phenomenology · Physics 2015-05-13 M. Buballa , A. G. Grunfeld , A. E. Radzhabov , D. Scheffler

We consider a reaction-diffusion system for two densities lying in adjacent domains of $\mathbb{R}^N$. We treat two configurations: either a cylinder and its complement, or two half-spaces. Diffusion and reaction heterogeneities for the two…

Analysis of PDEs · Mathematics 2025-06-06 Henri Berestycki , Luca Rossi , Andrea Tellini

Causal Transformer language models suffer from strictly sequential decoding and a quadratic per-step attention cost. While linear-time causal models and discrete diffusion models each address these weaknesses, their integration remains…

Computation and Language · Computer Science 2026-05-26 Ke Lin , Yiyang Luo , Zhaolong Su , Yunya Song , Anyi Rao

The gradient flow in QCD is treated perturbatively through next-to-next-to-leading order in the strong coupling constant. The evaluation of the relevant momentum and flow-time integrals is described, including various means of validation.…

High Energy Physics - Phenomenology · Physics 2016-07-20 Robert V. Harlander , Tobias Neumann

A very intuitive description of nucleus-nucleus collision phenomena is provided by the relativistic fluid dynamics. We consider a 1+1 dimensional relativistic imperfect fluid flow to approximate the high energy heavy ion collision. The…

Nuclear Theory · Physics 2007-05-23 C Alexa , D Vrinceanu

We study the phase diagram of the three flavor Polyakov-Nambu-Jona Lasinio (PNJL) model and in particular the interplay between chiral symmetry restoration and deconfinement crossover. We compute chiral condensates, quark densities and the…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Ciminale , R. Gatto , N. D. Ippolito , G. Nardulli , M. Ruggieri

We present the phase diagram and the fluctuations of different conserved charges like quark number, charge and strangeness at vanishing chemical potential for the 2+1 flavor Polyakov Loop extended Nambu--Jona-Lasinio model with eight-quark…

High Energy Physics - Phenomenology · Physics 2011-07-26 Paramita Deb , Abhijit Bhattacharyya , Sanjay K. Ghosh , Rajarshi Ray , Anirban Lahiri

We explore the phase diagram of two-flavor QCD at imaginary values of baryon and isospin chemical potentials analyzing the thermodynamic potential of QCD analytically and that of the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model…

High Energy Physics - Phenomenology · Physics 2015-03-13 Yuji Sakai , Hiroaki Kouno , Masanobu Yahiro

We investigate the dynamical chiral symmetry breaking and its restoration at finite density and temperature within the two-flavor Nambu-Jona-Lasinio model, and mainly focus on the critical behaviors near the critical end point (CEP) and…

High Energy Physics - Phenomenology · Physics 2015-10-19 Ya Lu , Yi-Lun Du , Zhu-Fang Cui , Hong-Shi Zong

Quantum speed limits (QSLs) identify fundamental time scales of physical processes by providing lower bounds on the rate of change of a quantum state or the expectation value of an observable. We introduce a generalization of QSL for…

Quantum Physics · Physics 2022-12-28 Nicoletta Carabba , Niklas Hörnedal , Adolfo del Campo

Quantum chromodymamics (QCD) approach to the problem of multiplicity distributions in high energy particle collisions is described. The solutions of QCD equations for generating functions of the multiplicity distributions in gluon and quark…

High Energy Physics - Phenomenology · Physics 2010-12-17 I. M. Dremin

State estimation from limited sensor measurements is ubiquitously found as a common challenge in a broad range of fields including mechanics, astronomy, and geophysics. Fluid mechanics is no exception -- state estimation of fluid flows is…

Fluid Dynamics · Physics 2022-06-01 Taichi Nakamura , Koji Fukagata

The equation of state and the critical behavior around the critical end point are studied in the context of the Polyakov--Nambu--Jona--Lasinio model. We prove that a convenient choice of the model parameters is crucial to get the correct…

High Energy Physics - Phenomenology · Physics 2010-09-17 M. C. Ruivo , Pedro Costa , H. Hansen , C. A. de Sousa

Simulations of the viscous hydrodynamic model for relativistic heavy-ion collisions at RHIC and LHC energies are presented. Results for spectra, femtoscopy radii, and transverse momentum fluctuations are favorably compared to the…

Nuclear Theory · Physics 2012-07-16 Piotr Bozek , Wojciech Broniowski , Iwona Wyskiel-Piekarska

Perturbative Quantum Chromodynamics has experienced an impressive progress in the last few years, boosted by the requirements of the LHC experimental program. In this contribution, I briefly review a selection of recent results in QCD and…

High Energy Physics - Phenomenology · Physics 2022-03-02 Juan Rojo

The Nambu-Jona-Lasinio model reduced to 2+1 dimensions has two different path integral formulations: at finite chemical potential one formulation has a severe sign problem similar to that found in QCD, while the other does not. At large N,…

High Energy Physics - Lattice · Physics 2013-01-25 Dorota Grabowska , David B. Kaplan , Amy N. Nicholson

Utilizing an extended two-flavor Nambu-Jona Lasinio (NJL) model, we review some of the effects of external magnetic fields on two-flavor color superconducting phase (2SC) at moderate baryon densities in the QCD phase diagram. The effective…

High Energy Physics - Phenomenology · Physics 2013-02-05 Sh. Fayazbakhsh , N. Sadooghi