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A New Discretization Scheme in Field Theory

  • Ciprian Sorin Acatrinei
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7125)

Abstract

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.

Keywords

Continuum Limit Discretization Scheme Radial Symmetry Discrete Representation Heisenberg Algebra 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Ciprian Sorin Acatrinei
    • 1
  1. 1.Department of Theoretical PhysicsHoria Hulubei National Institute for Nuclear PhysicsBucharestRomania

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