Reparameterisation invariance constraints on heavy particle effective field theories

1992/05/21 by Michael Luke, Aneesh V. Manohar · 351 citations
Physics and Astronomy · #Effective field theory #Heavy quark effective theory #High-Energy Particle Collisions Research #Lagrangian #Operator (biology) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quark #Redundancy (engineering) #Residual #Zero (linguistics) #hep-ph

paper · pdf · doi:10.1016/0370-2693(92)91786-9

published in Physics Letters B 286(3-4), 348-354 (Elsevier BV) · (14 pages, 0 figures), UCSD/PTH 92-15

arxiv created 1992/05/21 · openalex publication_date 1992/07/01 · arxiv updated 2010/11/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Since fields in the heavy quark effective theory are described by both a velocity and a residual momentum, there is redundancy in the theory: small shifts in velocity may be absorbed into a redefinition of the residual momentum. We demonstrate that this trivial reparameterisation invariance has non-trivial consequences: it relates coefficients of terms of different orders in the 1/m expansion and requires linear combinations of these operators to be multiplicatively renormalised. For example, the operator -D²/2m in the effective lagrangian has zero anomalous dimension, coefficient one, and does not receive any non-perturbative contributions from matching conditions. We also demonstrate that this invariance severely restricts the forms of operators which may appear in chiral lagrangians for heavy particles.

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