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

Conference · Mon Sep 01 04:00:00 EDT 1997

OSTI ID:570244

Smekal, L von ^[1]; Mecke, A; Alkofer, R ^[2]

---

1. Argonne National Lab., IL (United States)
2. Universitaet Tuebingen (Germany). Institut fuer Theoretische Physik

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 Written-Veneziano action to describe the {eta}-{eta}{prime} mixing this relation yields masses of about 810MeV for the {eta}{prime}, 430MeV for the {eta} and a mixing angle of about -30{degrees} 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.

• Research Organization: Argonne National Lab., IL (United States)
• Sponsoring Organization: USDOE Office of Energy Research, Washington, DC (United States)
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 570244
• Report Number(s): ANL/PHY/CP--93861; CONF-970564--; ON: DE97053817
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ETA MESONS
GLUON MODEL
QUARK-GLUON INTERACTIONS
REST MASS
TEMPERATURE DEPENDENCE
WARD IDENTITY