2021 Impact factor 4.991
Particles and Fields
Eur. Phys. J. C 8, 527-532
DOI 10.1007/s100529901099

Nontriviality of the linear sigma model

L.R. Babukhadia - M.D. Scadron

Physics Department, University of Arizona, Tucson, AZ 85721, USA

Received: 9 November 1998 / Published online: 11 March 1999

We consider techniques (based on an ultraviolet cutoff) used to prove that the pure boson ($\phi^4)_4$ field theory is trivial and apply them instead to the dynamically generated quark-level linear sigma model. This cutoff approach leads to the conclusion that the latter field theory is in fact nontrivial.

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