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Kurt Symanzik - a stable fixed point beyond triviality

F. Kleefeld
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Abstract

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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F. Kleefeld. 2005-08-04. Kurt Symanzik - a stable fixed point beyond triviality. https://doi.org/10.1088/0305-4470%2F39%2F1%2Fl02

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