2012/11/12 by Peter Morgan, Morgan, Peter
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #History and Philosophy of Physics (physics.hist-ph) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.1211.2831
openalex publication_date 2012/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.