Avoiding Ultraviolet Divergence by Means of Interior-Boundary Conditions
Quantum Physics
2016-06-07 v1 Mathematical Physics
math.MP
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
Cite
@article{arxiv.1506.00497,
title = {Avoiding Ultraviolet Divergence by Means of Interior-Boundary Conditions},
author = {Stefan Teufel and Roderich Tumulka},
journal= {arXiv preprint arXiv:1506.00497},
year = {2016}
}
Comments
18 pages LaTeX, 2 figures; presentation given at the conference "Quantum Mathematical Physics" in Regensburg (Germany), Sept. 29-Oct. 2, 2014 (http://www.uni-regensburg.de/Fakultaeten/nat_Fak_I/qft2014/index.html)