Nuclear Physics with Effective Field Theory II

10.1142/4312 ◽  
1999 ◽  
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Nuclear Physics ◽  
Effective Field

scholarly journals Power counting and Wilsonian renormalization in nuclear effective field theory

2016 ◽  
Vol 25 (05) ◽  
pp. 1641007 ◽  
Author(s):  
Manuel Pavón Valderrama
Keyword(s):  
Field Theory ◽  
Effective Field Theories ◽  
Effective Field Theory ◽  
Nuclear Physics ◽  
High Energy ◽  
Effective Field ◽  
Power Counting ◽  
Low Energy ◽  
Field Theories ◽  
Nuclear Forces

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.

Nuclear Physics with Effective Field Theory II

1999 ◽  
Author(s):  
Paulo F. Bedaque ◽  
Martin J. Savage ◽  
Ryoichi Seki ◽  
Ubirajara van Kolck
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Nuclear Physics ◽  
Effective Field

scholarly journals Chiral electroweak currents in nuclei

2017 ◽  
Vol 26 (01n02) ◽  
pp. 1740022 ◽  
Author(s):  
D. O. Riska ◽  
R. Schiavilla
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Chiral Lagrangians ◽  
Nuclear Physics ◽  
Effective Field ◽  
Light Nuclei ◽  
Chiral Effective Field Theory

The development of the chiral dynamics based description of nuclear electroweak currents is reviewed. Gerald E. (Gerry) Brown’s role in basing theoretical nuclear physics on chiral Lagrangians is emphasized. Illustrative examples of the successful description of electroweak observables of light nuclei obtained from chiral effective field theory are presented.

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