Spatially modulated chiral condensates

2017/02/12 by Stefano Carignano · 1 citation
Physics and Astronomy · #Ansatz #Chiral symmetry #Fourier analysis #Fourier series #Fourier transform #High-Energy Particle Collisions Research #Pulsars and Gravitational Waves Research #Quantum Chromodynamics and Particle Interactions #Work (physics) #hep-ph

paper · pdf · doi:10.1088/1742-6596/981/1/012011

published in Journal of Physics Conference Series 981, 012011 (IOP Publishing) · Contribution to the proceedings of TNPI2016. 7 pages, 4 figures

arxiv created 2017/02/12 · openalex created_date 2017/03/03 · openalex publication_date 2018/03/01 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/05

Abstract

I discuss some properties of spatially dependent chiral condensates, focusing on one-dimensional modulations. After briefly introducing a generic formalism for studying inhomogeneous solutions in dense quark matter, I consider a plane-wave and a sinusoidal ansatz, and discuss the relationship between their order parameters and free energies, as well as a comparison of their dispersion relations. I then introduce a real kink crystal, and discuss its relationship with the sinusoidal ansatz by performing a Fourier analysis of this kind of solution.

Citations

• Solitonic ground states in (color) superconductivity
• Phase diagram of the Gross–Neveu model: exact results and condensed matter precursors
• Influence of vector interaction and Polyakov loop dynamics on inhomogeneous chiral symmetry breaking phases
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II