Group-theoretical methods in physics

Theoretical Physics Group

The invariant mass spectrum of the lepton pair in inclusive semileptonic B → Xulν decay yields a model independent determination of |Vub| [1]. Unlike the lepton energy and hadronic invariant mass spectra, nonperturbative effects are only important in the resonance region, and play a parametrically suppressed role when dΓ/dq is integrated over q > (mB − mD) , which is required to eliminate the B...

Theoretical Physics group

We briefly review some results in the theory of quantum W3 gravity in the chiral gauge. We compare them with similar results in the analogous but simpler cases of d = 2 induced gauge theories and d = 2 induced gravity. Contribution to the Trieste Summerschool on High Energy Physics and Cosmology, Aug. 1991. Work supported in part by grant NSF-91-08054. This work was supported in part by the Dir...

Mathematical Methods of Theoretical Physics

Group Theoretical Methods in Machine Learning

The Bogoluibov Renormalization Group in Theoretical and Mathematical Physics

This text follows the line of a talk on Ringberg symposium dedicated to Wolfhart Zimmer-mann 70th birthday. The historical overview (Part 1) partially overlaps with corresponding text of my previous commemorative paper – see Ref. [61] in the list. At the same time second part includes some recent results in QFT (Sect. 2.1) and summarize (Sect. 2.4) an impressive progress of the " QFT renormaliz...