Citation

BibTex format

@article{Hoare:2019:10.1007/JHEP12(2019)146,
author = {Hoare, B and Levine, N and Tseytlin, AA},
doi = {10.1007/JHEP12(2019)146},
journal = {The Journal of High Energy Physics},
pages = {1--32},
title = {Integrable sigma models and 2-loop RG flow},
url = {http://dx.doi.org/10.1007/JHEP12(2019)146},
volume = {2019},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Following arXiv:1907.04737, we continue our investigation of the relation between the renormalizability (with finitely many couplings) and integrability in 2d σ- models. We focus on the “λ-model,” an integrable model associated to a group or symmetric space and containing as special limits a (gauged) WZW model and an “interpolating model” for non-abelian duality. The parameters are the WZ level k and the coupling λ, and the fields are g, valued in a group G, and a 2d vector A± in the corresponding algebra. We formulate the λ-model as a σ-model on an extended G × G × G configuration space (g, h,h¯¯¯), defining h and h¯¯¯ by A+ = h∂+h−1, A_ = h¯¯¯∂−h¯¯¯−1. Our central observation is that the model on this extended configuration space is renormalizable without any deformation, with only λ running. This is in contrast to the standard σ-model found by integrating out A±, whose 2-loop renormalizability is only obtained after the addition of specific finite local counterterms, resulting in a quantum deformation of the target space geometry. We compute the 2-loop β-function of the λ-model for general group and symmetric spaces, and illustrate our results on the examples of SU(2)/U(1) and SU(2). Similar conclusions apply in the non-abelian dual limit implying that non-abelian duality commutes with the RG flow. We also find the 2-loop β-function of a “squashed” principal chiral model.
AU  - Hoare,B
AU  - Levine,N
AU  - Tseytlin,AA
DO  - 10.1007/JHEP12(2019)146
EP  - 32
PY  - 2019///
SN  - 1029-8479
SP  - 1
TI  - Integrable sigma models and 2-loop RG flow
T2  - The Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/JHEP12(2019)146
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000510507100001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://link.springer.com/article/10.1007%2FJHEP12%282019%29146
VL  - 2019
ER  -
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