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arXiv · hep-th/9705088

C Function Representation of the Local Potential Approximation

Jacek Generowicz·Chris Harvey-Fros·Tim R. Morris
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Abstract

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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Jacek Generowicz, Chris Harvey-Fros, Tim R. Morris. 1997-06-04. C Function Representation of the Local Potential Approximation. https://doi.org/10.1016/s0370-2693(97)00729-6

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