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)


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.


Continuum Limit Discretization Scheme Radial Symmetry Discrete Representation Heisenberg Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Acatrinei, C.S.: Phys. Rev. D67, 045020 (2003)Google Scholar
  2. 2.
    Acatrinei, C.S.: J. Mod. Phys. A41, 215401 (2008)Google Scholar
  3. 3.
    Douglas, M.R., Nekrasov, N.A.: Rev. Mod. Phys. 73, 977 (2001)Google Scholar
  4. 4.
    Harvey, J.A.: e-Print hep-th/0102076Google Scholar
  5. 5.
    Kogut, J., Susskind, L.: Phys. Rev. D11, 395 (1975)Google Scholar
  6. 6.
    Makeenko, Y.: Methods in Contemporary Gauge Theory. Cambridge University Press (2005)Google Scholar
  7. 7.
    Nielsen, H.B., Ninomiya, M.: Nucl. Phys. B185, 20 (1981)Google Scholar
  8. 8.
    Wilson, K.: Phys. Rev. D10, 2445 (1974)Google Scholar

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

Personalised recommendations