Nonlinear Wightman fields
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 welldefined nonlinear theories.
 Publication:

arXiv eprints
 Pub Date:
 November 2012
 arXiv:
 arXiv:1211.2831
 Bibcode:
 2012arXiv1211.2831M
 Keywords:

 Mathematical Physics;
 High Energy Physics  Theory;
 Physics  History and Philosophy of Physics;
 Quantum Physics
 EPrint:
 v2: 22 pages, much expansion and refinement. v1:16 pages, 2 figures