A New Discretization Scheme in Field Theory
We propose a new discretization scheme for field theory, in which the space time coordinates are assumed to be operators forming a noncommutative algebra. Working in a discrete representation of that algebra, one obtains naturally a discretization scheme. The original theory should be recovered for representations of large dimensionality. The procedure is illustrated with space-like coordinates that form a Heisenberg algebra. Advantages exist with respect to conventional lattice field theory: fermions can easily be put on a lattice and the continuum limit is recovered without the problems appearing in the conventional formalism; however other types of problems appear.
KeywordsContinuum Limit Discretization Scheme Radial Symmetry Discrete Representation Heisenberg Algebra
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