scholarly journals Existence of new nonlocal field theory on noncommutative space and spiral flow in renormalization group analysis of matrix models

2015 ◽  
Vol 2015 (6) ◽  
Author(s):  
Shoichi Kawamoto ◽  
Tsunehide Kuroki
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Matrix Models ◽  
Group Analysis ◽  
Noncommutative Space ◽  
Spiral Flow ◽  
Renormalization Group Analysis ◽  
Nonlocal Field Theory ◽  
Nonlocal Field

scholarly journals Effective Field Theory for Shallow P-Wave States

2021 ◽  
Vol 62 (3) ◽  
Author(s):  
E. Epelbaum ◽  
J. Gegelia ◽  
H. P. Huesmann ◽  
Ulf-G. Meißner ◽  
Xiu-Lei Ren
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Finite Number ◽  
Effective Field Theory ◽  
Wave Scattering ◽  
Group Analysis ◽  
Effective Field ◽  
P Wave ◽  
Renormalization Group Analysis ◽  
Wave States

AbstractWe discuss the formulation of a non-relativistic effective field theory for two-body P-wave scattering in the presence of shallow states and critically address various approaches to renormalization proposed in the literature. It is demonstrated that the consistent renormalization involving only a finite number of parameters in the well-established formalism with auxiliary dimer fields corresponds to the inclusion of an infinite number of counterterms in the formulation with contact interactions only. We also discuss the implications from the Wilsonian renormalization group analysis of P-wave scattering.

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