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Six loop analytical calculation of the field anomalous dimension and the critical exponent eta in O(n)-symmetric phi(4) model

Batkovich, D.V.; Chetyrkin, K.G.; Kompaniets, M.V.

Abstract:
We report on a completely analytical calculation of the field anomalous dimension γϕand the critical exponent ηfor the O(n)-symmetric ϕ$^{4}$model at the record six loop level. We successfully compare our result for γϕ with n =1with the predictions based on the method of the Borel resummation combined with a conformal mapping (Kazakov et al., 1979 [40]). Predictions for seven loop contribution to the field anomalous dimensions are given.


Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP)
Publikationstyp Zeitschriftenaufsatz
Jahr 2016
Sprache Englisch
Identifikator DOI: 10.1016/j.nuclphysb.2016.03.009
ISSN: 0550-3213, 1873-1562
URN: urn:nbn:de:swb:90-566665
KITopen ID: 1000056666
Erschienen in Nuclear physics <Amsterdam> / B
Band 906
Seiten 147-167
Lizenz CC BY 4.0: Creative Commons Namensnennung 4.0 International
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