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arxiv: hep-th/9811117 · v1 · pith:X4IDXL2Cnew · submitted 1998-11-12 · ✦ hep-th · cond-mat· hep-lat· hep-ph

Introduction to spherical field theory

classification ✦ hep-th cond-mathep-lathep-ph
keywords fieldtheorysphericalcoupledeuclideanone-dimensionalpartialsystems
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Spherical field theory is a new non-perturbative method for studying quantum field theories. It uses the spherical partial wave expansion to reduce a general d-dimensional Euclidean field theory into a set of coupled one-dimensional systems. The coupled one-dimensional systems are then converted to partial differential equations and solved numerically. We demonstrate the methods of spherical field theory by analyzing Euclidean phi^4 theory in two dimensions.

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