The equation of state of quarks and mesons in a renormalization group flow picture

Autor:	Bernd-Jochen Schaefer, H. J. Pirner
Rok vydání:	1999
Předmět:	Quark Physics Coupling constant Nuclear and High Energy Physics Equation of state Pion High Energy Physics::Lattice Regularization (physics) Renormalization group Critical exponent Heat kernel Mathematical physics
Zdroj:	Nuclear Physics A. 660:439-474
ISSN:	0375-9474
DOI:	10.1016/s0375-9474(99)00409-1
Popis:	Nonperturbative flow equations within an effective linear sigma model coupled to constituent quarks for two quark flavors are derived and solved. A heat kernel regularization is employed for a renormalization group improved effective potential. We determine the initial values of the coupling constants in the effective potential at zero temperature. Solving the evolution equations with the same initial values at finite temperature in the chiral limit, we find a second order phase transition at T_c \approx 150 MeV. Due to the smooth decoupling of massive modes, we can directly link the low-temperature four-dimensional theory to the three-dimensional high-temperature theory. We calculate the equation of state in the chiral limit and for finite pion masses and determine universal critical exponents.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b357ebcab925ef729dc5575e66894d99 https://doi.org/10.1016/s0375-9474(99)00409-1 Zobrazit plný text záznamu Full Text from ScienceDirect