Four-loop free energy for the 2D O(n) nonlinear sigma-model with 0-loop and 1-loop Symanzik improved actions

Abstract

We calculate up to four loops the free energy of the two-dimensional (2D) O(n) nonlinear sigma-model regularized on the lattice with the 0-loop and 1-loop Symanzik improved actions. An effective coupling constant based on this calculation is defined.

26 pages, Revtex. More details about the calculation procedure

References in corpus (2)

• Perturbation theory predictions and Monte Carlo simulations for the 2-d O(n) non-linear sigma-model
• Application of a coordinate space method for the evaluation of lattice Feynman diagrams in two dimensions

Cited by in corpus (2)

• The puzzle of apparent linear lattice artifacts in the 2d non-linear sigma-model and Symanzik's solution
• Finite density 2d O(3) sigma model: dualization and numerical simulations