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

Journal Article · Mon May 23 00:00:00 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, Vol. 1343, Issue 1; Conference: QCHS 9: 9. international conference on quark confinement and the hadron spectrum, Madrid (Spain), 30 Aug - 3 Sep 2010; Other Information: DOI: 10.1063/1.3575114; (c) 2011 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

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