Dirichlet boundary conditions in a noncommutative theory

Details Dirichlet boundary conditions in a noncommutative theory Dirichlet boundary conditions in a noncommutative theory

2010-06-09

arxiv.org/abs/1006.1898v1

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 1 figure, pdflatex

Scientific paper

We study the problem of imposing Dirichlet-like boundary conditions along a static spatial curve, in a planar Noncommutative Quantum Field Theory model. After constructing interaction terms that impose the boundary conditions, we discuss their implementation at the level of an interacting theory, with a focus on their physical consequences, and the symmetries they preserve. We also derive the effect they have on certain observables, like the Casimir energies.

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