Nonlinear Wightman fields
Mathematical Physics
2012-12-07 v2 High Energy Physics - Theory
math.MP
History and Philosophy of Physics
Quantum Physics
Abstract
A nonlinear Wightman field is taken to be a nonlinear map from a linear space of test functions to a linear space of Hilbert space operators, with inessential modifications to other axioms only to the extent dictated by the introduction of nonlinearity. Two approaches to nonlinear quantum fields are constructed and discussed, the first of which, starting from Lagrangian QFT, offers a fresh perspective on renormalization, while the second, starting from linear Wightman fields, provides an extensive range of well-defined nonlinear theories.
Cite
@article{arxiv.1211.2831,
title = {Nonlinear Wightman fields},
author = {Peter Morgan},
journal= {arXiv preprint arXiv:1211.2831},
year = {2012}
}
Comments
v2: 22 pages, much expansion and refinement. v1:16 pages, 2 figures