Power Counting and Wilsonian Renormalization in Nuclear Effective Field Theory

Abstract : Effective field theories are the most general tool for the description of low energy phenomena. They are universal and systematic: they can be formulated for any low energy systems we can think of and offer a clear guide on how to calculate predictions with reliable error estimates, a feature that is called power counting. These properties can be easily understood in Wilsonian renormalization, in which effective field theories are the low energy renormalization group evolution of a more fundamental ---perhaps unknown or unsolvable--- high energy theory. In nuclear physics they provide the possibility of a theoretically sound derivation of nuclear forces without having to solve quantum chromodynamics explicitly. However there is the problem of how to organize calculations within nuclear effective field theory: the traditional knowledge about power counting is perturbative but nuclear physics is not. Yet power counting can be derived in Wilsonian renormalization and there is already a fairly good understanding of how to apply these ideas to non-perturbative phenomena and in particular to nuclear physics. Here we review a few of these ideas, explain power counting in two-nucleon scattering and reactions with external probes and hint at how to extend the present analysis beyond the two-body problem.
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Contributor : Sophie Heurteau <>
Submitted on : Tuesday, July 12, 2016 - 2:52:54 PM
Last modification on : Thursday, January 11, 2018 - 6:12:41 AM

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  • HAL Id : in2p3-01344756, version 1
  • ARXIV : 1604.01332

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M. P. Valderrama. Power Counting and Wilsonian Renormalization in Nuclear Effective Field Theory. 2016. ⟨in2p3-01344756⟩

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