Quark-hadron thermodynamics in a magnetic field

• Published in: Physical review. D, Particles, fields, gravitation, and cosmology Vol. 89; no. 5
• Main Authors: Orlovsky, V. D., Simonov, Yu. A.
• Format: Journal Article
• Language: English
• Published: 11-03-2014
• Subjects: Correlation; Cosmology; Gravitation; Intervals; Lattices; Magnetic fields; Mathematical analysis; Texts; Transition temperature
• ISSN: 1550-7998; 1550-2368
• DOI: 10.1103/PhysRevD.89.054012

Nonperturbative treatment of the quark-hadron transition at nonzero temperature T and chemical potential mu in the framework of the field correlator method is generalized to the case of nonzero magnetic field B. A compact form of the quark pressure for arbitrary B, mu , T is derived. As a result, the transition temperature is found as a function of B and mu , which depends only on the following parameters: the vacuum gluonic condensate G sub(2) and the field correlator (ProQuest: Formulae and/or non-USASCII text omitted), which defines the Polyakov loops and is known both analytically and on the lattice. A moderate (25%) decrease of T sub(c)( mu = 0) for eB changing from zero to 1 GeV super(2) is found. A sequence of transition curves in the ( mu , T) plane is obtained for B in the same interval, monotonically decreasing in scale for growing B.