Spin spin critical point correlation functions for the 2-D random bond Ising and Potts models

Apr, 1994
10 pages
Published in:
  • Phys.Lett.B 347 (1995) 113-119
e-Print:
Report number:
  • PAR-LPTHE-94-17

Citations per year

199119992007201520231032
Abstract:
We compute the combined two and three loop order correction to the spin-spin correlation functions for the 2D Ising and q-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation group approach for the perturbation series around the conformal field theories representing the pure models. We obtain corrections for the correlations functions which produce crossover in the amplitude but don't change the critical exponent in the case of the Ising model and which produce a shift in the critical exponent, due to randomness, in the case of the Potts model. Comparison with numerical data is discussed briefly.
  • Ising model
  • Potts model
  • dimension: 2
  • spin: correlation
  • correlation: spin
  • correction: higher-order
  • critical phenomena
  • renormalization group
  • field theory: conformal