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

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

2005-06-17

arxiv.org/abs/hep-th/0506140v3

Czech.J.Phys. 55 (2005) 1123-1134

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/s10582-005-0117-8

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.

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