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Poincaré invariance constraints on non-relativistic effective field theories

Authors
Journal
Nuclear Physics B - Proceedings Supplements
0920-5632
Publisher
Elsevier
Publication Date
Volume
133
Identifiers
DOI: 10.1016/j.nuclphysbps.2004.04.164
Keywords
  • Part 4. B-Physics And Heavy Flavours
Disciplines
  • Mathematics

Abstract

We discuss Poincaré invariance in the context of non-relativistic effective field theories of QCD. We show, in the cases of the HQET and pNRQCD, that the algebra of the generators of the Poincaré transformations imposes precise constraints on the form of the Lagrangian. In the case of the HQET they are the relations formerly obtained by reparametrization invariance.

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