Definition and statistical properties of a universal topological charge

B. Berg, C. Panagiotakopoulos
1985 Nuclear Physics B  
We consider the 2d 0(3) o-model. Lattice topological charge and universality are reconciled by an appropriate (quasi) local definition of the topological charge. Numerical calculations are carried out on square and triangular lattices. The results are satisfactory within limitations coming from the Monte Carlo method. * Generalization to the CP' models is straightforward. * Due to the breaking of scale invariance instanton-like configurations do not exist in the lattice 0(3) o-model [6, 7]
more » ... o-model [6, 7] (with the standard action).
doi:10.1016/0550-3213(85)90266-4 fatcat:46glysczbfdppkakt34if4yc74