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Asymptotic safety and the gauged SU(N) nonlinear sigma-model · Around

2010

Asymptotic safety and the gauged SU(N) nonlinear sigma-model

Fabbrichesi, M., Percacci, R., Tonero, A. et al.

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We study the beta functions of the leading, two-derivative terms of the left-gauged SU(N) nonlinear sigma-model in d dimensions.

In d>2, we find the usual Gaussian ultraviolet fixed point for the gauge coupling and an attractive non-Gaussian fixed point for the Goldstone boson coupling.
The position of the latter fixed point controls the chiral expansion, unitarity and the strength of the tree-level Goldstone boson scattering amplitudes.
Attention is paid to the gauge- and scheme-dependence of the results.

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Original

2010

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2010

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