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

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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 ... continued below

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Smekal, L. von; Mecke, A. & Alkofer, R. September 1, 1997.

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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.

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3 p.

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INIS; OSTI as DE97053817

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  • 6. conference on the intersections of particle and nuclear physics, Big Sky, MT (United States), 25 May - 2 Jun 1997

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  • Other: DE97053817
  • Report No.: ANL/PHY/CP--93861
  • Report No.: CONF-970564--
  • Grant Number: W-31-109-ENG-38
  • Office of Scientific & Technical Information Report Number: 570244
  • Archival Resource Key: ark:/67531/metadc697121

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Office of Scientific & Technical Information Technical Reports

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  • September 1, 1997

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  • Aug. 14, 2015, 8:43 a.m.

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  • Dec. 15, 2015, 12:06 p.m.

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Smekal, L. von; Mecke, A. & Alkofer, R. A dynamical {eta}{prime} - mass from an infrared enhanced gluon exchange, article, September 1, 1997; Illinois. (digital.library.unt.edu/ark:/67531/metadc697121/: accessed September 23, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.