Heavy Quark Effective Fields as Operator-valued Distributions

Details Heavy Quark Effective Fields as Operator-valued Distributions Heavy Quark Effective Fields as Operator-valued Distributions

1997-10-20

arxiv.org/abs/hep-ph/9710408v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, LaTex

Scientific paper

We look at effective fields defined in the heavy-quark effective theory as operator-valued generalized functions on Minkowski space-time to be averaged with physically suitable smoothing functions (Gaussians of typical width the hadronic size) leading to operator-valued distributions in Hilbert space. One-heavy-quark states are thus represented by normalizable wave packets displaying a particle-like behaviour at the characteristic hadronic time ${\Lambda}_{QCD}^{-1}$. We examine some consequences relative to the average kinetic energy of heavy quarks in hadrons to avoid inconsistences within this formalism.

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