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. Potential applications are briefly mentioned.

Fixed points of nonlinear sigma models in d > 2 / Codello, A.; Percacci, R.. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 672:3(2009), pp. 280-283. [10.1016/j.physletb.2009.01.032]

Fixed points of nonlinear sigma models in d > 2

Percacci, R.
2009-01-01

Abstract

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. Potential applications are briefly mentioned.
2009
672
3
280
283
https://arxiv.org/abs/0810.0715
Codello, A.; Percacci, R.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/16290
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