Non linear $σ$ models : renormalisability versus geometry

Details Non linear $σ$ models : renormalisability versus geometry Non linear $σ$ models : renormalisability versus geometry

1999-07-17

arxiv.org/abs/hep-th/9907149v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, latex file, Talk given in Cortona, Italy, at the 1st June meeting in honnor of Carlo Becchi 60th birthday

Scientific paper

After some recalls on the standard (non)-linear $\sigma$ model, we discuss
the interest of B.R.S. symmetry in non-linear $\sigma$ models renormalisation.
We also emphasise the importance of a correct definition of a theory through
physical constraints rather than as given by a particular Lagrangian and
discuss some ways to enlarge the notion of renormalisability.

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