Scalar-pseudoscalar meson masses in nonlocal effective QCD at finite temperature

Journal Article · Fri Jul 01 00:00:00 EDT 1994 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.50.435· OSTI ID:7283856

Schmidt, S; Blaschke, D ^[1]; Kalinovsky, Y L ^[2]

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1. MPG Arbeitsgruppe Theoretische Vielteilchenphysik,'' Universitaet Rostock, D-18051 Rostock (Germany)
2. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna (Russian Federation)

The Schwinger-Dyson equation for the quark propagator and the Bethe-Salpeter equations for the quark-meson vertex functions are derived within nonlocal effective QCD in the quark sector using functional integral techniques at finite temperature. We apply the approach for separable instantaneous interactions and derive mass formulas for the scalar and pseudoscalar mesons. The pion mass obeys the Goldstone theorem. The sigma meson mass is lowered when the interaction kernel is not constant. The temperature behavior of the constituent quark mass and the scalar as well as pseudoscalar meson masses is obtained from a self-consistent numerical solution to the coupled set of Schwinger-Dyson and Bethe-Salpeter equations. We present a systematic investigation of the modification of the chiral transition phenomena due to the choice of the form factor of the effective interaction. The standard Nambu--Jona-Lasinio model is discussed as a particular case of nonlocal separable interaction.

• OSTI ID: 7283856
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Vol. 50:1; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PSEUDOSCALAR MESONS
REST MASS
SCALAR MESONS
BETHE-SALPETER EQUATION
CHIRAL SYMMETRY
FORM FACTORS
NONLOCAL POTENTIAL
NUMERICAL SOLUTION
PIONS
QUANTUM CHROMODYNAMICS
QUARK-QUARK INTERACTIONS
SIGMA MODEL
TEMPERATURE DEPENDENCE
VERTEX FUNCTIONS
BOSON-EXCHANGE MODELS
BOSONS
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
FUNCTIONS
HADRONS
INTERACTIONS
MASS
MATHEMATICAL MODELS
MESONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PERIPHERAL MODELS
POTENTIALS
QUANTUM FIELD THEORY
SYMMETRY
662230* - Quantum Chromodynamics- (1992-)
662240 - Models for Strong Interactions- (1992-)
662420 - Properties of Mesons & Meson Resonances- (1992-)