%0 Journal Article %1 Codello:2008qq %A Codello, Alessandro %A Percacci, Roberto %D 2009 %J Phys. Lett. %K RGFixedPoints RGFlow SigmaModel %P 280-283 %R 10.1016/j.physletb.2009.01.032 %T Fixed Points of Nonlinear Sigma Models in d>2 %U http://www.slac.stanford.edu/spires/find/hep/www?rawcmd=fin+t+Fixed+Points+of+Nonlinear+Sigma+Models %V B672 %X 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.

@article{Codello:2008qq, abstract = { 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. }, added-at = {2009-03-29T23:28:23.000+0200}, archiveprefix = {arXiv}, author = {Codello, Alessandro and Percacci, Roberto}, biburl = {https://www.bibsonomy.org/bibtex/2b24a53fcb580f55814214df109f57512/gber}, description = {SPIRES-HEP: FIN T FIXED POINTS OF NONLINEAR SIGMA MODELS}, doi = {10.1016/j.physletb.2009.01.032}, eprint = {0810.0715}, interhash = {3f56aee9ef2d323da41820394c29b549}, intrahash = {b24a53fcb580f55814214df109f57512}, journal = {Phys. Lett.}, keywords = {RGFixedPoints RGFlow SigmaModel}, pages = {280-283}, primaryclass = {hep-th}, slaccitation = {%%CITATION = 0810.0715;%%}, timestamp = {2009-03-29T23:28:23.000+0200}, title = {{Fixed Points of Nonlinear Sigma Models in d>2}}, url = {http://www.slac.stanford.edu/spires/find/hep/www?rawcmd=fin+t+Fixed+Points+of+Nonlinear+Sigma+Models}, volume = {B672}, year = 2009 }