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

Journal Article · Thu May 01 04:00:00 EDT 1997 · AIP Conference Proceedings

OSTI ID:678806

von Smekal, Lorenz ^[1]; 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, 72076Tuebingen (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}{r_arrow}0 we relate the screening mass to the string tension {sigma}. In the Witten-Veneziano action to describe the {eta}{minus}{eta}{sup {prime}} mixing this relation yields masses of about 810 MeV for the {eta}{sup {prime}}, 430MeV for the {eta} and a mixing angle of about {minus}30{degree} from the phenomenological value {sigma}{approx}0.18GeV{sup 2}. The very weak temperature dependence of the string tension should make this mechanism experimentally distinguishable from exponentially temperature dependent instanton model predictions. {copyright} {ital 1997 American Institute of Physics.}

• Research Organization: Argonne National Laboratory (ANL), Argonne, IL
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 678806
• Report Number(s): CONF-970564--
• 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

66 PHYSICS
CONFIGURATION MIXING
ETA MESONS
ETA PRIME-958 MESONS
GLUONS
MASS
MASS FORMULAE
QUANTUM CHROMODYNAMICS
STRING MODELS