Proper time regulator and renormalization group flow - art. no. 105013

We consider some applications of the renormalization group flow equations o btained by resorting to a specific class of proper time regulators. Within this class a particular limit that corresponds to a sharpening of the effec tive width of the regulator is investigated and a procedure to analytically implement this limit on the flow equations is shown. We focus on the criti cal exponents determination for the O(N) symmetric scalar theory in three d imensions. The large N limit and some perturbative features in four dimensi ons are also analyzed. In all problems examined the results are optimized w hen the mentioned limit of the proper time regulator is taken.