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Richard Brower
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Lattice Radial Quantization for Conformal Field Theory
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Lattice radial quantization is introduced
as a nonperturbative method intended to numerically
solve Euclidean conformal field theories
that can be realized as fixed points of known
Lagrangians. As an first example , we employ
a lattice shaped as a cylinder with a 2D
Icosahedral cross-section to discretize dilatations
in the 3D Ising model. Base on this study
and analytical methods for the 2D O(N) model
at large N, we consider improvements using
Finite Element Methods (FEM) to approach
the Wilson Fisher fixed point. Possible extensions
to infrared conformal fixed points and near
conformal theories of interest to Beyond
the Standard Model strong gauge dynamics
are discussed.
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