Instantons and Meson Correlators in QCD

Author: Marcus Hutter
Comments: 43 latex pages, 7 1/2 figures included by epsf.tex-macro
Report-no: LMU-Muenchen HEP-93-18
Journal-ref: Z.Phys. C74 (1997) 131-143

Abstract: Various QCD correlators are calculated in the instanton liquid model in zeromode approximation and $1/N_c$ expansion. Previous works are extended by including dynamical quark loops. In contrast to the original "perturbative" $1/N_c$ expansion not all quark loops are suppressed. In the flavor singlet meson correlators a chain of quark bubbles survives the $N_c\to\infty$ limit causing a massive $\eta^\prime$ in the pseudoscalar correlator while keeping massless pions in the triplet correlator. The correlators are plotted and meson masses and couplings are obtained from a spectral fit. They are compared to the values obtained from numerical studies of the instanton liquid and to experimental results.

Paper: Source (110kb) or PostScript (653kb) or PDF (431kb) or other formats at arXiv.org
Slides: page 0 a 1 a b c d e f g 3 a b c d 5 a b c d e f g 6 a b c d e 7 a b c d 8 a b c d e f g h

home

BibTeX Entry

@Article{Hutter:97instanto,
  author =       "M. Hutter",
  title =        "Instantons and Meson Correlators in QCD",
  year =         "1997",
  pages =        "131--143",
  journal =      "Zeitschrift Physik",
  volume =       "C74",
  url =          "http://arxiv.org/abs/hep-ph/9501245",
  url2 =         "http://www.hutter1.net/physics/pinstant.htm",
  abstract =     "Various QCD correlators are calculated in the instanton liquid model
                  in zeromode approximation and $1/N_c$ expansion. Previous works are
                  extended by including dynamical quark loops. In contrast to the
                  original "perturbative" $1/N_c$ expansion not all quark loops are
                  suppressed. In the flavor singlet meson correlators a chain of quark
                  bubbles survives the $N_c\to\infty$ limit causing a massive
                  $\eta^\prime$ in the pseudoscalar correlator while keeping massless
                  pions in the triplet correlator. The correlators are plotted and
                  meson masses and couplings are obtained from a spectral fit. They
                  are compared to the values obtained from numerical studies of the
                  instanton liquid and to experimental results.",
}