paper

On (non-Hermitian) Lagrangeans in (particle) physics and their dynamical generation

arXiv:hep-th/0506140 · doi:10.1007/s10582-005-0117-8

Abstract

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.

12 pages, no figures, accepted for publication in Czech.J.Phys., revised with respect to obvious typos

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