Avoiding Ultraviolet Divergence by Means of Interior–Boundary Conditions

Stefan Teufel () and Roderich Tumulka ()
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Stefan Teufel: Eberhard-Karls-Universität, Mathematisches Institut
Roderich Tumulka: Rutgers University, Department of Mathematics

A chapter in Quantum Mathematical Physics, 2016, pp 293-311 from Springer

Abstract: Abstract 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.

Keywords: Regularization of quantum field theory; Ultraviolet infinity; Particle creation and annihilation; Self-adjointness; Schrödinger operator; Boundary condition (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-26902-3_14

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DOI: 10.1007/978-3-319-26902-3_14

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