Discretization in Noncommutative Field Theory

  title={Discretization in Noncommutative Field Theory},
  author={Ciprian Sorin Acatrinei},
  journal={Geometry, Integrability and Quantization},
  • C. Acatrinei
  • Published 2019
  • Mathematics
  • Geometry, Integrability and Quantization
A discretization scheme provided by the noncommutativity of space is reviewed. In the representation chosen here the radial coordinate is rendered discrete, allowing fields to be put on a lattice in a natural way. Noncommutativity is traded for a controllable type of nonlocality of the field dynamics, which in turn allows fermions to be free of lattice artefacts. Exact, singularity-free solutions are found interpreted, and their continuum limit is well-defined. MSC : 33E20, 39A12, 33C80, 33C45…