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Non-Linear Sigma Model and asymptotic freedom at the Lifshitz point · Around

2010

Non-Linear Sigma Model and asymptotic freedom at the Lifshitz point

Anagnostopoulos, K., Farakos, K., Pasipoularides, P. et al.

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We construct the general O(N)-symmetric non-linear sigma model in 2+1 spacetime dimensions at the Lifshitz point with dynamical critical exponent z=2.

For a particular choice of the free parameters, the model is asymptotically free with the beta function coinciding to the one for the conventional sigma model in 1+1 dimensions.
In this case, the model admits also a simple description in terms of adjoint currents.

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G. Koutsoumbas, E. Papantonopoulos, P. Pasipoularides and M. Tsoukalas, arXiv:1004.2289 [hep-th]; G. Koutsoumbas and P. Pasipoularides, arXiv:1006.3199 [hep-th]. A. Kehagias and K. Sfetsos, Phys. Lett. B 678

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