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

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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26 pages, Revtex. More details about the calculation procedure

Scientific paper

10.1016/S0550-3213(99)00604-5

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.

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