The infrared behaviour of {alpha}{sub s} from Mandelstam`s approximation to the gluon Dyson-Schwinger equation

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Using Mandelstam`s approximation to the gluon Dyson-Schwinger equation we calculate the gluon self-energy in a renormalisation group invariant fashion. We obtain a non-perturbative {beta} function. The scaling behaviour near the ultraviolet stable fixed point is in good agreement with perturbative QCD. No further fixed point for positive values of the coupling is found, i.e., {alpha}{sub s} increases without bound in the infrared. The non-perturbative result for an infrared singular quark interaction can be used to relate the string tension {sigma} to the QCD scale {Lambda}. 3 refs., 1 fig.

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2 p.

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Hauck, A.; Alkofer, R. & Von Smekal, L. October 1, 1996.

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Description

Using Mandelstam`s approximation to the gluon Dyson-Schwinger equation we calculate the gluon self-energy in a renormalisation group invariant fashion. We obtain a non-perturbative {beta} function. The scaling behaviour near the ultraviolet stable fixed point is in good agreement with perturbative QCD. No further fixed point for positive values of the coupling is found, i.e., {alpha}{sub s} increases without bound in the infrared. The non-perturbative result for an infrared singular quark interaction can be used to relate the string tension {sigma} to the QCD scale {Lambda}. 3 refs., 1 fig.

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2 p.

Notes

INIS; OSTI as DE96015375

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  • PANIC `96: 14. international conference on particles and nuclei, Williamsburg, VA (United States), 22-28 May 1996

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  • Other: DE96015375
  • Report No.: ANL/PHY/CP--90775
  • Report No.: CONF-9605180--6
  • Grant Number: W-31-109-ENG-38
  • DOI: 10.2172/392757 | External Link
  • Office of Scientific & Technical Information Report Number: 392757
  • Archival Resource Key: ark:/67531/metadc688738

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  • October 1, 1996

Added to The UNT Digital Library

  • July 25, 2015, 2:20 a.m.

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  • Dec. 16, 2015, 12:40 p.m.

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Hauck, A.; Alkofer, R. & Von Smekal, L. The infrared behaviour of {alpha}{sub s} from Mandelstam`s approximation to the gluon Dyson-Schwinger equation, report, October 1, 1996; Illinois. (digital.library.unt.edu/ark:/67531/metadc688738/: accessed October 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.