Self-consistent Calculation of Real Space Renormalization Group Flows and Effective Potentials
arXiv:hep-lat/9602014 · doi:10.1016/0550-3213(96)00340-9
Abstract
We show how to compute real space renormalization group flows in lattice field theory by a self-consistent method. In each step, the integration over the fluctuation field (high frequency components of the field) is performed by a saddle point method. The saddle point depends on the block-spin. Higher powers of derivatives of the field are neglected in the actions, but no polynomial approximation in the field is made. The flow preserves a simple parameterization of the action. In this paper we treat scalar field theories as an example.
arXiv comment52 pages, uses pstricks macro, three ps-figures
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