• DOI:10.1007/978-3-319-26902-3_14
• Corpus ID: 118023985

Avoiding Ultraviolet Divergence by Means of Interior–Boundary Conditions

@article{Teufel2016AvoidingUD,
  title={Avoiding Ultraviolet Divergence by Means of Interior–Boundary Conditions},
  author={Stefan Teufel and Roderich Tumulka},
  journal={arXiv: Quantum Physics},
  year={2016},
  pages={293-311}
}

• S. Teufel, R. Tumulka
• Published 1 June 2015
• Physics
• arXiv: Quantum Physics

We describe here a novel way of defining Hamiltonians for quantum field theories (QFTs), based on the particle–position representation of the state vector and involving a condition on the state vector that we call an “interior–boundary condition.” At least for some QFTs (and, we hope, for many), this approach leads to a well-defined, self-adjoint Hamiltonian without the need for an ultraviolet cut-off or renormalization.