2005/06/30 by Frieder Kleefeld, F. Kleefeld · 2 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #hep-th
paper · pdf · doi:10.1007/s10582-005-0117-8
published as Czech.J.Phys. 55 (2005) 1123-1134 · 12 pages, no figures, accepted for publication in Czech.J.Phys., revised with respect to obvious typos
arxiv created 2005/07/23 · openalex publication_date 2005/09/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
On the basis of a new method to derive the effective action the nonperturbative concept of "dynamical generation" is explained. A non-trivial, non-Hermitian and PT-symmetric solution for Wightman's scalar field theory in four dimensions is dynamically generated, rehabilitating Symanzik's precarious phi**4-theory with a negative quartic coupling constant as a candidate for an asymptotically free theory of strong interactions. Finally it is shown making use of dynamically generation that a Symanzik-like field theory with scalar confinement for the theory of strong interactions can be even suggested by experiment.