Year: 2008
Type: article
Abstract: In general, the kernel of QCD's gap equation possesses a domain of analyticity upon which the equation's solution at nonzero chemical potential is simply obtained from the in-vacuum result through analytic continuation. On this domain the single-quark number- and scalar-density distribution functions are $\ensuremath{\mu}$ independent. This is illustrated via two models for the gap equation's kernel. The models are alike in concentrating support in the infrared. They differ in the form of the vertex, but qualitatively the results are largely insensitive to the Ansatz. In vacuum both models realize chiral symmetry in the Nambu-Goldstone mode, and in the chiral limit, with increasing chemical potential, they exhibit a first-order chiral symmetry restoring transition at $\ensuremath{\mu}\ensuremath{\approx}M(0)$, where $M({p}^{2})$ is the dressed-quark mass function.
Authors: Huan Chen, Wei Yuan, Lei Chang, Yu-Xin Liu, Thomas Klähn, Craig D. Roberts
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2009341695