2001/06/21 by Krishnendu Mukherjee, Mukherjee, Krishnendu
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0106236
21 pages LaTeX, axodraw.sty
arxiv created 2001/06/21 · openalex publication_date 2001/06/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We compute the free energy density of QCD to order αs at very high density and non-zero quark masses. The counterterms needed to renormalise the theory to order αs is same as the vacuum (non-zero density) theory. We investigate the response of the theory to non-zero quark masses and chemical potentials. We study quark number density and quark number susceptibility in the high density limit, where the ratio of the quark mass to the corresponding chemical potential is very small (m/μ≪ 1). In this limit both number density and susceptibility contain a ln(m/μ) contribution at order αs. We compute the scalar and pseudoscalar susceptibilities to order αs in three flavour QCD at high density taking quark masses and chemical potentials to be degenerate and non-zero. At extremely high density, since αs is very small, both the susceptibilities are found to be same in the chiral limit. This means that the scalar-pseudoscalar splitting is absent in the CFL phase.