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

F. Kleefeld
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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.

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F. Kleefeld. 2005-07-23. On (non-Hermitian) Lagrangeans in (particle) physics and their dynamical generation. https://doi.org/10.1007/s10582-005-0117-8

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