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Gluon condensate, Wilson loops and gauge/string duality

Oleg Andreev1,2 and Valentin I. Zakharov1,3

  • 1Max-Planck Institut für Physik, Föhringer Ring 6, 80805 München, Germany
  • 2L. D. Landau Institute for Theoretical Physics, Kosygina 2, 119334 Moscow, Russia
  • 3Istituto Nazionale di Fisica Nucleare—Sezione di Pisa, Largo Pontecorvo 3, 56127 Pisa, Italy

Phys. Rev. D 76, 047705 – Published 28 August, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.047705

Abstract

We test gauge/string duality by evaluating expectation values of small Wilson loops in pure Yang-Mills theories. On the gauge theory side, there exists a rich phenomenology. The dual formulation provides a universal language to evaluate the gluon condensate and quadratic correction in terms of the metric in the fifth coordinate. Quantitatively, the estimated value of the gluon condensate is approximately 0.010GeV4.

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