2013/09/19 by Peter Morgan, Morgan, Peter
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.1309.4995
openalex publication_date 2013/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Quantum electrodynamics exhibits an informal nonlinear dependence on Lorentz invariant test function properties that determine the renormalization scale, such as Mandelstam variables, contrary to the linear dependence on test functions that is required by the Wightman axioms. A first example of an alternative interacting quantum field formalism that has a comparable weakly nonlinear dependence on Dirac spinor test functions is constructed, using U(1)-gauge connections and U(1)-gauge invariant Dirac spinor test functions.