Lorentz invariance in heavy particle effective theories

Johannes Heinonen, Richard J. Hill, Mikhail P. Solon

Research output: Contribution to journalArticlepeer-review

51 Scopus citations

Abstract

Employing induced representations of the Lorentz group (Wigner's little group construction), formalism for constructing heavy particle effective Lagrangians is developed, and Lagrangian constraints enforcing Lorentz invariance of the S matrix are derived. The relationship between Lorentz invariance and reparametrization invariance is established and it is shown why a standard ansatz for implementing reparametrization invariance in heavy fermion effective Lagrangians breaks down at order 1/M4. Formalism for fields of arbitrary spin and for self-conjugate fields is presented, and the extension to effective theories of massless fields is discussed.

Original languageEnglish
Article number094020
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume86
Issue number9
DOIs
StatePublished - Nov 15 2012

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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