What does low energy physics tell us about the zero momentum gluon propagator?

Journal Article · Mon May 23 04:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3575114· OSTI ID:21516965

Costa, P ^[1]; Oliveira, O ^[1]; Silva, P J ^[1]

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1. Centro de Fisica Computacional, Rua Larga, Universidade de Coimbra, P-3004-516 Coimbra (Portugal)

The connection between QCD, a nonlocal Nambu-Jona-Lasinio type model and the Landau gauge gluon propagator is explored. This two point function is parameterized by a functional form which is compatible with Dyson-Schwinger and lattice QCD results. Demanding the nonlocal model to reproduce the experimental values for the pion mass, the pion decay constant, {Gamma}{sub {pi}{yields}{gamma}{gamma}} and the light quark condensate we conclude that low energy physics does not distinguish between the so-called decoupling and scaling solutions of the Dyson-Schwinger equations. This result means that, provided that the model parameters are chosen appropriately, one is free to choose any of the above scenarios. Furthermore, the nonlocal Nambu-Jona-Lasinio quark model considered here is chiral invariant and satisfies the GMOR relation at the 1% level of precision.

• OSTI ID: 21516965
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1343; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CHIRALITY
COMPOSITE MODELS
CONDENSATES
CONSTRUCTIVE FIELD THEORY
D QUARKS
DECAY
DECOUPLING
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
GLUONS
HADRONS
LATTICE FIELD THEORY
MASS
MATHEMATICAL MODELS
MESONS
PARTICLE DECAY
PARTICLE MODELS
PARTICLE PROPERTIES
PIONS
PROPAGATOR
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
SCALING
SCHWINGER FUNCTIONAL EQUATIONS
SIMULATION
U QUARKS