Polchinski equation, reparameterization invariance and the derivative expansion

Details Polchinski equation, reparameterization invariance and the derivative expansion Polchinski equation, reparameterization invariance and the derivative expansion

1997-05-17

arxiv.org/abs/hep-th/9705129v2

Nucl.Phys. B509 (1998) 662-686

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, LaTeX with psfig, 12 encapsulated PostScript figures. A number wrongly quoted in the abstract corrected

Scientific paper

10.1016/S0550-3213(97)00692-5

The connection between the anomalous dimension and some invariance properties of the fixed point actions within exact RG is explored. As an application, Polchinski equation at next-to-leading order in the derivative expansion is studied. For the Wilson fixed point of the one-component scalar theory in three dimensions we obtain the critical exponents \eta=0.042, \nu=0.622 and \omega=0.754.

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