Polchinski ERG Equation in O(N) Scalar Field Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages, 4 figures, uses latex sprocl style. Two references added. To be published in the proceedings of the Second Conference

Scientific paper

10.1142/S0217751X01004712

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.

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