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On classicalization in nonlinear sigma models · Around

2012

On classicalization in nonlinear sigma models

Percacci, Roberto, Rachwal, Leslaw

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We consider the phenomenon of classicalization in nonlinear sigma models with both positive and negative target space curvature and with any number of derivatives.

We find that the theories with only two derivatives exhibit a weak form of classicalization, and that the quantitative results depend on the sign of the curvature.
Nonlinear sigma models with higher derivatives show a strong form of the phenomenon which is independent of the sign of curvature.
We argue that weak classicalization may actually be equivalent to asymptotic safety, whereas strong classicalization seems to be a genuinely different phenomenon.

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M. Fabbrichesi, R. Percacci, A. Tonero and O. Zanusso, Phys. Rev. D83, 025016 (2011) arXiv: 1010.0912 [hep-ph]; M. Fabbrichesi, R. Percacci, A. Tonero and L. Vecchi, Phys. Rev. Lett. 107, 021803 (2011) arXiv: 1102.2113 [hep-ph]; F. Bazzocchi, M. Fabbrichesi, R. Percacci, A. Tonero and L. Vecchi, Phys. Lett. B705, 388-392 (2011) arXiv: 1105.1968 [hep-ph]
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R. Percacci, Nucl. Phys. B 353, 271, (1991); PoS (CLAQG08) 002 arXiv:0910.4951[hep-th]; R. Percacci PoS (ISFTG) 011 arXiv:0910.5167 [hep-th]
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Then

G. Dvali, C. Gomez, arXiv:1005.3497 [hep-th]; G. Dvali, S. Folkerts and C. Germani Phys. Rev. D84 024039 (2011) arXiv:1006.0984 [hep-th]
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G. Dvali and D. Pirtskhalava, Phys. Lett. B699 78-86 (2011) arXiv:1011.0114 [hep-ph]
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G. Dvali, C. Gomez, A. Kehagias, JHEP 1111 070 (2011) arXiv:1103.5963 [hep-th]
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S.J. Brodsky and P. Hoyer, Phys. Rev. D83
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