Influence of vector interaction and Polyakov loop dynamics on inhomogeneous chiral symmetry breaking phases

2010/07/08 by Stefano Carignano, Dominik Nickel, Michael Buballa · 11 citations
Mathematics · Physics and Astronomy · #Chiral symmetry breaking #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Critical phenomena #Critical point (mathematics) #Diagram #Domain (mathematical analysis) #Isoscalar #Loop (graph theory) #Mathematical analysis #Mathematical physics #Mathematics #Order (exchange) #Phase (matter) #Phase diagram #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Symmetry breaking #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.82.054009

published as Phys.Rev.D82:054009,2010 · 28 pages, 10 figures

arxiv created 2010/07/08 · openalex publication_date 2010/09/09 · arxiv updated 2011/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate the role of the isoscalar-vector interaction and the dynamics of the Polyakov loop on inhomogeneous phases in the phase diagram of the two-flavor Nambu-Jona--Lasinio model. Thereby we concentrate on inhomogeneous phases with a one-dimensional modulation, explicitly domain-wall solitons and, for comparison, the chiral spiral. While the inclusion of the Polyakov loop merely leads to quantitative changes compared to the original Nambu-Jona--Lasinio model, the inclusion of a repulsive vector-channel interaction has significant qualitative effects: Whereas for homogeneous phases the first-order phase transition gets weakened and eventually turns into a second-order transition or a crossover, the domain of inhomogeneous phases is less affected. In particular the location of the Lifshitz point in terms of temperature and density is not modified. Consequently, the critical point disappears from the phase diagram and only a Lifshitz point (showing a different critical behavior) remains. In particular, susceptibilities remain finite.

Citations

• Critical surface in hot and dense QCD with the vector interaction
• Solitonic ground states in (color) superconductivity
• Chiral effective model with the Polyakov loop
• Phase diagram of the Gross–Neveu model: exact results and condensed matter precursors
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
• Chiral and Color-superconducting Phase Transitions with Vector Interaction in a Simple Model
• Full phase diagram of the massive Gross–Neveu model
• Crystallography of three-flavor quark matter
• Phase diagram of QCD
• Polyakov loop, diquarks, and the two-flavor phase diagram
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II

Cited by

• Color screening in cold quark matter
• Vector meson spectral function and dilepton production rate in a hot and dense medium within an effective QCD approach
• The Wigner solution and QCD phase transitions in a modified PNJL model
• Spatially modulated chiral condensates
• Strong-Interaction Matter under Extreme Conditions from Chiral Quark Models with Nonlocal Separable Interactions
• Inhomogeneous phases in the Gross-Neveu model in 1+1 dimensions at finite number of flavors
• α-cluster structure and density waves in oblate nuclei
• Isospin properties of quark matter from a 3-flavor NJL model
• Critical temperature of chiral symmetry restoration for quark matter with a chiral chemical potential
• Collision energy dependence of elliptic flow splitting between particles and their antiparticles from an extended multiphase transport model
• Dual chiral density waves in nuclear matter

Related

• Fluctuations and the Phase Transition in a Chiral Model with Polyakov Loops
• Exploring the chiral and deconfinement phase transitions in a self-consistent PNJL model
• Vector interaction bounds in NJL-like models from LQCD estimated curvature of the chiral crossover line
• Inhomogeneous chiral symmetry breaking phases in isospin-asymmetric matter
• Non-uniform chiral phase studied within the Polyakov NJL model