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A Hierarchical Finite Element Method for Quantum Field Theory (1305.3322v2)
Published 14 May 2013 in math-ph, hep-lat, hep-th, and math.MP
Abstract: 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. The exact renormalization map between the angles of the triangles is obtained as well. A fixed point of this map happens to be the cotangent formula of Finite Element Method which approximates the Laplacian in two dimensions.
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