2010/05/10 by John R. Klauder, Klauder, John R.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.1005.1573
openalex publication_date 2010/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Guided by idealized but soluble nonrenormalizable models, a nontraditional proposal for the quantization of covariant scalar field theories is advanced, which achieves a term-by-term, divergence-free perturbation analysis of interacting models expanded about a suitable pseudofree theory (differing from a free theory by an ℏ term). This procedure not only provides acceptable solutions for models for which no acceptable solution currently exists, e.g., ϕ4n, for spacetime dimension n≥4, but offers a new, divergence-free solution, for less-singular models as well, e.g., ϕ4n, for n=2,3.