Sunday, May 19, 2013

1305.3322 (Arnab Kar et al.)

A Hierarchical Finite Element Method for Quantum Field Theory    [PDF]

Arnab Kar, Fred Moolekamp, S. G. Rajeev
We study a model of scalar quantum field theory in which space-time is a discrete set of points obtained by repeatedly subdividing a triangle into three triangles at the centroid. By integrating out the field variable at the centroid we get a renormalized action on the original triangle. This renormalization dynamics has a fixed point at the celebrated cotangent formula of the Finite Element Method, which approximates the two dimensional Laplacian.
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