POLCHINSKI ERG EQUATION IN O(N) SCALAR FIELD THEORY

YURI KUBYSHIN, RUI NEVES, ROBERTUS POTTING
2001 International Journal of Modern Physics A  
We investigate the Polchinski ERG equation for d-dimensional O(N) scalar field theory. In the context of the non-perturbative derivative expansion we find families of regular solutions and establish their relation with the physical fixed points of the theory. Special emphasis is given to the large N limit for which many properties can be studied analytically.
doi:10.1142/s0217751x01004712 fatcat:dydnbjlq75fljdyethdadtlgjq