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.
CITATION STYLE
Teufel, S., & Tumulka, R. (2016). Avoiding ultraviolet divergence by means of interior-boundary conditions. In Quantum Mathematical Physics: A Bridge between Mathematics and Physics (pp. 293–311). Springer International Publishing. https://doi.org/10.1007/978-3-319-26902-3_14
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