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A renormalisation-group treatment of two-body scattering
classification
✦ hep-ph
cond-mathep-thnucl-th
keywords
fixedexpansiongrouppointspotentialrenormalisationscatteringtwo-body
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Nonrelativistic two-body scattering by a short-ranged potential is studied using the renormalisation group. Two fixed points are identified: a trivial one and one describing systems with a bound state at zero energy. The eigenvalues of the linearised renormalisation group are used to assign a systematic power-counting to terms in the potential near each of these fixed points. The expansion around the nontrivial fixed point is shown to be equivalent to the effective-range expansion.
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Cited by 1 Pith paper
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Auxiliary counterterms and their role in effective field theory
Auxiliary counterterms provide exact cutoff independence in EFTs but encode no new physics and aid renormalization consistency and convergence.
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