Exact Renormalization Group : A New Method for Blocking the Action

Abstract

We consider the exact renormalization group for a non-canonical scalar field theory in which the field is coupled to the external source in a special non linear way. The Wilsonian action and the average effective action are then simply related by a Legendre transformation up to a trivial quadratic form. An exact mapping between canonical and non-canonical theories is obtained as well as the relations between their flows. An application to the theory of liquids is sketched.

References in corpus (3)

• Exact evolution equation for the effective potential
• Liquid-vapor transition from a microscopic theory: Beyond the Maxwell construction
• Smooth cutoff formulation of hierarchical reference theory for a scalar phi4 field theory

Cited by in corpus (5)

• From local to critical fluctuations in lattice models: a non-perturbative renormalization-group approach
• The non-perturbative renormalization group in the ordered phase
• Hierarchical Reference Theory of critical fluids in disordered porous media
• Link between New Versions of the Hierarchical Reference Theory of Liquids and of the Non Perturbative Renormalization Group in Statistical Field Theory
• Critical line of the ${\Phi }^4$ scalar field theory on a 4D cubic lattice in the local potential approximation