6533b7d2fe1ef96bd125eda8
RESEARCH PRODUCT
Fixed points of nonlinear sigma models in d>2
Alessandro CodelloRoberto Percaccisubject
High Energy Physics - TheoryPhysicsNuclear and High Energy PhysicsWilson loopSigma modelFixed pointRenormalization groupCurvatureSettore FIS/02 - Fisica Teorica Modelli e Metodi Matematicisymbols.namesakeFlow (mathematics)Quantum electrodynamicssymbolsLimit (mathematics)Beta functionMathematical physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-02-01 | Physics Letters B |