C Function Representation of the Local Potential Approximation

Details C Function Representation of the Local Potential Approximation C Function Representation of the Local Potential Approximation

1997-05-13

arxiv.org/abs/hep-th/9705088v2

Phys.Lett. B407 (1997) 27-32

Physics

High Energy Physics

High Energy Physics - Theory

10 pages including one eps figure, uses harvmac and epsf; several minor typos corrected --- to be published in Physics Letters

Scientific paper

10.1016/S0370-2693(97)00729-6

Within the Local Potential Approximation to Wilson's, or Polchinski's, exact renormalization group, and for general spacetime dimension, we construct a function, c, of the coupling constants; it has the property that (for unitary theories) it decreases monotonically along flows, and is stationary only at fixed points ---where it `counts degrees of freedom', i.e. is extensive, counting one for each Gaussian scalar. Furthermore, by choosing restrictions to some sub-manifold of coupling constant space, we arrive at a very promising variational approximation method.

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