Optimization of the derivative expansion in the nonperturbative renormalization group

Nov, 2002
13 pages
Published in:
  • Phys.Rev.D 67 (2003) 065004
e-Print:

Citations per year

20032009201520212025024681012
Abstract: (arXiv)
We study the optimization of nonperturbative renormalization group equations truncated both in fields and derivatives. On the example of the Ising model in three dimensions, we show that the Principle of Minimal Sensitivity can be unambiguously implemented at order 2\partial^2 of the derivative expansion. This approach allows us to select optimized cut-off functions and to improve the accuracy of the critical exponents ν\nu and η\eta. The convergence of the field expansion is also analyzed. We show in particular that its optimization does not coincide with optimization of the accuracy of the critical exponents.
  • 11.15.Tk
  • 11.10.Gh
  • 05.10.Cc
  • 11.10.Hi
  • lattice field theory
  • effective action
  • Ising model
  • expansion: derivative
  • renormalization group: transformation
  • numerical calculations