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arXiv · hep-ph/9703298

Effective Field Theory and Matching in Non-Relativistic Gauge Theories

Benjamin Grinstein·Ira Z. Rothstein
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Abstract

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.

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Benjamin Grinstein, Ira Z. Rothstein. 1997-10-15. Effective Field Theory and Matching in Non-Relativistic Gauge Theories. https://doi.org/10.1103/physrevd.57.78

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