Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-06-13
Nucl.Phys. B483 (1997) 563-579
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, LATEX, 2 figures
Scientific paper
10.1016/S0550-3213(96)00585-8
We apply here a recently developed approach to compute the short distance corrections to scaling for the correlators of all primary operators of the critical two dimensional Ising model in a magnetic field. The essence of the method is the fact that if one deals with O.P.E. Wilson coefficients instead of correlators, all order I.R. safe formulas can be obtained for the perturbative expansion with respect to magnetic field. This approach yields in a natural way the expected fractional powers of the magnetic field, that are clearly absent in the naive perturbative expression for correlators. The technique of the Mellin transform have been used to compute the I.R. behavior of the regularized integrals. As a corollary of our results, by comparing the existing numerical data for the lattice model we give an estimate of the Vacuum Expectation Value of the energy operator, left unfixed by usual nonperturbative approaches (Thermodynamic Bethe Ansatz).
Guida Riccardo
Magnoli Nicodemo
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