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Fixed Points of Nonlinear Sigma Models in d>2 · Around

2008

Fixed Points of Nonlinear Sigma Models in d>2

Codello, A., Percacci, R.

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Using Wilsonian methods, we study the renormalization group flow of the Nonlinear Sigma Model in any dimension $d$, restricting our attention to terms with two derivatives.

At one loop we always find a Ricci flow.
When symmetries completely fix the internal metric, we compute the beta function of the single remaining coupling, without any further approximation.
For $d>2$ and positive curvature, there is a nontrivial fixed point, which could be used to define an ultraviolet limit, in spite of the perturbative nonrenormalizability of the theory.

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J. Honerkamp, Nucl. Phys. B36
1972
Earlier work this paper cites.
A.M. Polyakov, Phys. Lett. B59
1975
Earlier work this paper cites.
E. Brezin and J. Zinn–Justin, Phys. Rev. Lett. 36
1976
Earlier work this paper cites.
W.A. Bardeen, B.W. Lee and R. Shrock, Phys. Rev. D 14
1976
Earlier work this paper cites.
S. Weinberg, In General Relativity: An Einstein centenary survey
1979
Earlier work this paper cites.
I.Ya. Arefeva, Ann. Phys. 117
1980
Earlier work this paper cites.
L. Alvarez-Gaume, D.Z. Freedman, S. Mukhi, Annals Phys 134
1981
Earlier work this paper cites.
J. Gasser, H. Leutwyler, Annals Phys. 158
1984
Earlier work this paper cites.

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Later among the works it cites.
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S.V. Ketov, Quantum Non-linear Sigma-Models, Springer (2000)

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A. Codello, R. Percacci and C. Rahmede, arXiv:0805.2909 [hep-th], to appear in Ann. Phys

Cited in the paper.

O.J. Rosten . DIAS-STP-08-09, Aug 2008. 12pp. e-Print: arXiv:0808.0082 [hep-th]

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