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Instantaneous Chiral Quark Model for Relativistic Mesons in a Hot and Dense Medium

Abstract

A chiral quark model with covariant instantaneous interactions is formulated using relativistic thermodynamic Green functions. The approach is applied to the description of mesons as relativistic bound state in hot and dense quark matter. The Schwinger-Dyson equation for the quark mass operator is obtained for a covariant four-point interaction kernel. The Salpeter equations for quark-antiquark bound states in a two-component relativistic quark plasma are given in the scalar-pseudoscalar as well as vector-axial-vector channels. The case of nonvanishing total momentum of bound state relative to the medium is considered. Numerical results for the meson mass spectrum and the pion decay constant at finite temperature are presented for the special case of a separable interaction which can be applied to the case of more realistic potentials. 36 refs., 7 figs.
Authors:
Blaschke, D; Kalinovskij, Yu L; Roepke, G; Schmidt, S; [1]  Muenchow, L; Pervushin, V N [2] 
  1. Rostock Univ. (Germany)
  2. Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics
Publication Date:
Dec 31, 1994
Product Type:
Technical Report
Report Number:
JINR-E-2-94-307
Reference Number:
SCA: 662420; 662240; PA: AIX-26:012879; EDB-95:032431; SN: 95001325053
Resource Relation:
Other Information: DN: Submitted to Nuclear Physics. A.; PBD: 1994
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; PSEUDOSCALAR MESONS; QUARKONIUM; QUARK MODEL; QUARK MATTER; CHIRAL SYMMETRY; CORRELATIONS; COUPLING CONSTANTS; DEGREES OF FREEDOM; GREEN FUNCTION; MASS SPECTRA; POINT KERNELS; SCHWINGER FUNCTIONAL EQUATIONS; TEMPERATURE DEPENDENCE; VERTEX FUNCTIONS; 662420; 662240; PROPERTIES OF MESONS AND MESON RESONANCES; MODELS FOR STRONG INTERACTIONS
OSTI ID:
10112626
Research Organizations:
Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Theoretical Physics; Rostock Univ. (Germany)
Country of Origin:
JINR
Language:
English
Other Identifying Numbers:
Other: ON: DE95613782; TRN: XJ9406595012879
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
27 p.
Announcement Date:
Jun 30, 2005

Citation Formats

Blaschke, D, Kalinovskij, Yu L, Roepke, G, Schmidt, S, Muenchow, L, and Pervushin, V N. Instantaneous Chiral Quark Model for Relativistic Mesons in a Hot and Dense Medium. JINR: N. p., 1994. Web.
Blaschke, D, Kalinovskij, Yu L, Roepke, G, Schmidt, S, Muenchow, L, & Pervushin, V N. Instantaneous Chiral Quark Model for Relativistic Mesons in a Hot and Dense Medium. JINR.
Blaschke, D, Kalinovskij, Yu L, Roepke, G, Schmidt, S, Muenchow, L, and Pervushin, V N. 1994. "Instantaneous Chiral Quark Model for Relativistic Mesons in a Hot and Dense Medium." JINR.
@misc{etde_10112626,
title = {Instantaneous Chiral Quark Model for Relativistic Mesons in a Hot and Dense Medium}
author = {Blaschke, D, Kalinovskij, Yu L, Roepke, G, Schmidt, S, Muenchow, L, and Pervushin, V N}
abstractNote = {A chiral quark model with covariant instantaneous interactions is formulated using relativistic thermodynamic Green functions. The approach is applied to the description of mesons as relativistic bound state in hot and dense quark matter. The Schwinger-Dyson equation for the quark mass operator is obtained for a covariant four-point interaction kernel. The Salpeter equations for quark-antiquark bound states in a two-component relativistic quark plasma are given in the scalar-pseudoscalar as well as vector-axial-vector channels. The case of nonvanishing total momentum of bound state relative to the medium is considered. Numerical results for the meson mass spectrum and the pion decay constant at finite temperature are presented for the special case of a separable interaction which can be applied to the case of more realistic potentials. 36 refs., 7 figs.}
place = {JINR}
year = {1994}
month = {Dec}
}