The Casimir Effect for Fermions in One Dimension

@inproceedings{Sundberg2003TheCE,
  title={The Casimir Effect for Fermions in One Dimension},
  author={P Johan Sundberg and Robert L. Jaffe},
  year={2003}
}
We study the Casimir problem for a fermion coupled to a static background field in one space dimension. We examine the relationship between interactions and boundary conditions for the Dirac field. In the limit that the background becomes concentrated at a point (a “Dirac spike”) and couples strongly, it implements a confining boundary condition. We compute the Casimir energy for a masslike background and show that it is finite for a stepwise continuous background field. However the total… CONTINUE READING
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