The mass of the eta' in self-dual QCD

Author:Marcus Hutter
Comments: 6 LaTeX pages
Report-no: LMU-95-14
Journal-ref: Phys.Lett. B367 (1996) 275-278

Abstract: The QCD gauge field is modeled as an ensemble of statistically independent selfdual and antiselfdual regions. This model is motivated from instanton physics. The scale anomaly then allows to relate the topological susceptibility to the gluon condensate. With the help of Wittens formula for m_eta' and an estimate of the suppression of the gluon condensate due to light quarks the mass of the eta' can be related to f_pi and the physical gluon condensate. We get the quite satisfactory value m_eta'=884+-116 MeV. Using the physical eta' mass as an input it is in princple possible to get information about the interaction between instantons and anti-instantons.

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BibTeX Entry

@Article{Hutter:96eta,
  author =       "M. Hutter",
  title =        "The mass of the eta' in self-dual QCD",
  year =         "1996",
  pages =        "275--278",
  journal =      "Physics Letters",
  volume =       "B367",
  url =          "http://arxiv.org/abs/hep-ph/9509401",
  url2 =         "http://www.hutter1.net/physics/petamas.htm",
  abstract =     "The QCD gauge field is modeled as an ensemble of statistically
                  independent selfdual and antiselfdual regions. This model is
                  motivated from instanton physics. The scale anomaly then allows
                  to relate the topological susceptibility to the gluon condensate.
                  With the help of Wittens formula for m_eta' and an estimate of
                  the suppression of the gluon condensate due to light quarks the
                  mass of the eta' can be related to f_pi and the physical gluon
                  condensate. We get the quite satisfactory value m_eta'=884+-116 MeV.
                  Using the physical eta' mass as an input it is in princple possible
                  to get information about the interaction between instantons and
                  anti-instantons.",
}