Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1995-05-09
Nucl.Phys. B456 (1995) 313-338
Physics
High Energy Physics
High Energy Physics - Lattice
24 pages (Latex) + 8 figures (PostScript) in a uuencoded compressed tar file
Scientific paper
10.1016/0550-3213(98)00492-1
We study scaling properties and topological aspects of the 2--d O(3) non--linear $\sigma$--model on the lattice with the parametrized fixed point action recently proposed by P.~Hasenfratz and F.~Niedermayer. The behavior of the mass gap confirms the good properties of scaling of the fixed point action. Concerning the topology, lattice classical solutions are proved to be very stable under local minimization of the action; this outcome ensures the reliability of the cooling method for the computation of the topological susceptibility, which indeed reproduces the results of the field theoretical approach. Disagreement is instead observed with a different approach in which the fixed point topological charge operator is used: we argue that the discrepancy is related to the ultraviolet dominated nature of the model.
D'Elia Marcella
Farchioni Federico
Papa Alessandro
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