Published November 2006 | Version v1
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Operator product expansion on the lattice. Analytic Wilson coefficients

  • 1. Regensburg Univ. (Germany). Inst. fuer Physik 1 - Theoretische Physik
  • 2. Edinburgh Univ. (United Kingdom). School of Physics
  • 3. Leipzig Univ. (Germany). Inst. fuer Theoretische Physik
  • 4. Liverpool Univ. (United Kingdom). Theoretical Physics Div.
  • 5. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
  • 6. Deutsches Elektronen-Synchrotron (DESY), Zeuthen (Germany). John von Neumann-Inst. fuer Computing NIC

Description

We present first results for Wilson coefficients of operators up to first order in the covariant derivatives for the case of Wilson fermions. They are derived from the off-shell Compton scattering amplitude Wμν(a,p,q) of massless quarks with momentum p. The Wilson coefficients are classified according to the transformation of the corresponding operators under the hypercubic group H(4). We give selected examples for a special choice of the momentum transfer q. All Wilson coefficients are given in closed analytic form and in an expansion in powers of a up to first corrections. (orig.)

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Additional details

Publishing Information

Imprint Pagination
7 p.
ISSN
0418-9833
Report number
DESY--06-180

Conference

Title
24. International Symposium on Lattice Field Theory (Lattice 2006)
Dates
23-28 Jul 2006
Place
Tucson, AZ (United States)