Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories

Details Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories

1992-05-21

arxiv.org/abs/hep-ph/9205228v1

Phys.Lett.B286:348-354,1992

Physics

High Energy Physics

High Energy Physics - Phenomenology

(14 pages, 0 figures), UCSD/PTH 92-15

Scientific paper

10.1016/0370-2693(92)91786-9

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 $-D^2/2m$ 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.

Affiliated with

Also associated with

No associations

Rating

Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-482149