English

Dirichlet boundary conditions in a noncommutative theory

High Energy Physics - Theory 2014-11-21 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1006.1898,
  title  = {Dirichlet boundary conditions in a noncommutative theory},
  author = {C. D. Fosco and P. Scuracchio},
  journal= {arXiv preprint arXiv:1006.1898},
  year   = {2014}
}

Comments

19 pages, 1 figure, pdflatex

R2 v1 2026-06-21T15:34:09.863Z