A dynamical {eta}{sup '}-mass from an infrared enhanced gluon exchange

Journal Article · Tue May 20 04:00:00 EDT 1997 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.54300· OSTI ID:21175467

Smekal, Lorenz von ^[1]; Mecke, Almut; Alkofer, Reinhard ^[2]

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1. Physics Division, Argonne National Laboratory, Argonne, Illinois, 60439 (United States)
2. Institut fuer Theoretische Physik, Universitaet Tuebingen, 72076 Tuebingen (Germany)

The pseudo-scalar flavor-singlet meson mixes with two gluons. A dimensional argument by Kogut and Susskind shows that this can screen the Goldstone pole of the chiral limit in this channel, if the gluon correlations are infrared enhanced. Using a gluon propagator as singular as {sigma}/k{sup 4} for k{sup 2}{yields}0 we relate the screening mass to the string tension {sigma}. In the Witten-Veneziano action to describe the {eta}-{eta}{sup '} mixing this relation yields masses of about 810 MeV for the {eta}{sup '}, 430MeV for the {eta} and a mixing angle of about -30 deg. from the phenomenological value {sigma}{approx_equal}0.18 GeV{sup 2}. The very weak temperature dependence of the string tension should make this mechanism experimentally distinguishable from exponentially temperature dependent instanton model predictions.

• OSTI ID: 21175467
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 412; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACTION INTEGRAL
CHIRALITY
CORRELATIONS
ETA MESONS
ETA PRIME-958 MESONS
FLAVOR MODEL
GLUONS
INSTANTONS
MEV RANGE
PROPAGATOR
REST MASS
TEMPERATURE DEPENDENCE
WEINBERG ANGLE