Kurt Symanzik - a stable fixed point beyond triviality

Details Kurt Symanzik - a stable fixed point beyond triviality Kurt Symanzik - a stable fixed point beyond triviality

2005-06-16

arxiv.org/abs/hep-th/0506142v2

J.Phys. A39 (2006) L9-L16

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, no figures, new style files, revised for typos, improved discussion, new references added

Scientific paper

10.1088/0305-4470/39/1/L02

In 1970 Kurt Symanzik proposed a "precarious" phi**4-theory with a negative quartic coupling constant as a valid candidate for an asymptotically free theory of strong interactions. Symanzik's deep insight in the non-trivial properties of this theory has been overruled since then by the Hermitian intuition of generations of scientists, who considered or consider this actually non-Hermitian highly important theory to be unstable. This short - certainly controversial - communication tries to shed some light on the historical and formalistic context of Symanzik's theory in order to sharpen our (quantum) intuition about non-perturbative theoretical physics between (non)triviality and asymptotic freedom.

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