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Boundary conditions as Dirac constraints

  • M.M. Sheikh-Jabbari
  • A. Shirzad
Theoretical physics

Abstract.

In this article we show that boundary conditions can be treated as Lagrangian and Hamiltonian constraints. Using the Dirac method, we find that boundary conditions are equivalent to an infinite chain of second class constraints, which is a new feature in the context of constrained systems. Constructing the Dirac brackets and the reduced phase space structure for different boundary conditions, we show why mode expanding and then quantizing a field theory with boundary conditions is the proper way. We also show that in a quantized field theory subjected to the mixed boundary conditions, the field components are non-commutative.

Keywords

Boundary Condition Field Theory Phase Space Quantized Field Theory Field Component 
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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • M.M. Sheikh-Jabbari
    • 1
  • A. Shirzad
    • 1
  1. 1.Institute for Studies in Theoretical Physics and Mathematics, IPM, P.O. Box 19395-5531, Tehran, Iran IR

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