Boundary Conditions as Dirac Constraints

Details Boundary Conditions as Dirac Constraints Boundary Conditions as Dirac Constraints

1999-07-08

arxiv.org/abs/hep-th/9907055v3

Eur.Phys.J.C19:383,2001

Physics

High Energy Physics

High Energy Physics - Theory

18 pp, Latex, minor changes, typos corrected

Scientific paper

10.1007/s100520100590

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 noncommutative.

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