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} }
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.
27 Citations
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