Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-03-11
Phys.Rev. D57 (1998) 78-82
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages LATEX. Version to appear in PRD. Paragraph regarding non-local four quark operators included. Comparison of magnetic
Scientific paper
10.1103/PhysRevD.57.78
The effective Lagrangian and power counting rules for non-relativistic gauge theories are derived via an expansion in $1/c$. It is shown that the $1/c$ expansion leads to an effective field theory which incorporates a multipole expansion. Failure to use this expansion in the low energy theory leads to a loss of predictive power as the matching procedure becomes intractable. It is emphasized that there is not a one-to-one correspondence between operators in the modified low energy theory and those in the heavy quark effective theory.We also discuss the Lamb shift as a pedagogical example of the power counting scheme.
Grinstein Benjamin
Rothstein Ira Z.
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