Lorentz invariance in heavy particle effective theories

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 reparameterization invariance is established and it is shown why a standard ansatz for implementing reparameterization invariance in heavy fermion effective Lagrangians breaks down at order 1/M^4. Formalism for fields of arbitrary spin and for self-conjugate fields is presented, and the extension to effective theories of massless fields is discussed.

24 pages

References in corpus (3)

• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• The NRQED lagrangian at order 1/M^4
• Heavy-particle formalism with Foldy-Wouthuysen representation

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