On a Field Theory of Nuclear Forces

1979 ◽  
pp. 17-17
Author(s):  
Julian Schwinger
Keyword(s):  
Field Theory ◽  
Nuclear Forces

NUCLEAR FORCES AND FEW NUCLEON SYSTEMS IN CHIRAL EFFECTIVE FIELD THEORY

2009 ◽  
Vol 24 (11n13) ◽  
pp. 921-930
Author(s):  
HERMANN KREBS
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Degrees Of Freedom ◽  
Effective Field ◽  
Chiral Expansion ◽  
Light Nuclei ◽  
Nuclear Forces ◽  
Chiral Effective Field Theory ◽  
Promising Tool ◽  
Many Body Systems

Using chiral effective field theory (EFT) with explicit Δ degrees of freedom we calculated nuclear forces up to next-to-next-to-leading order (N2LO). We find a much improved convergence of the chiral expansion in all peripheral partial waves. We also present a novel lattice EFT method developed for systems with larger number of nucleons. Combining Monte Carlo lattice simulations with EFT allows one to calculate the properties of light nuclei, neutron and nuclear matter. Accurate description of two-nucleon phase-shifts and ground state energy ratio of dilute neutron matter up to corrections of higher orders show that lattice EFT is a promising tool for quantitative studies of low-energy few- and many-body systems.

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.

Field-theory approach to the dibaryon model of nuclear forces

2004 ◽  
Vol 67 (8) ◽  
pp. 1536-1558 ◽  
Author(s):  
V. I. Kukulin ◽  
M. A. Shikhalev
Keyword(s):  
Field Theory ◽  
Theory Approach ◽  
Nuclear Forces ◽  
Dibaryon Model

The Electron-Positron Field Theory of Nuclear Forces

1939 ◽  
Vol 56 (6) ◽  
pp. 530-539 ◽  
Author(s):  
Eugene P. Wigner ◽  
Charles L. Critchfield ◽  
Edward Teller
Keyword(s):  
Field Theory ◽  
Nuclear Forces ◽  
Electron Positron

Spinor fields in general relativity

1958 ◽  
Vol 245 (1243) ◽  
pp. 521-535 ◽  
Keyword(s):  
Field Theory ◽  
Electromagnetic Field ◽  
Field Potentials ◽  
Nuclear Forces ◽  
Unitary Theory ◽  
Fundamental Field ◽  
Action Density ◽  
Spinor Fields ◽  
Natural Derivative ◽  
Pseudo Scalar

A unitary field theory is developed with two fundamental field variables, a spinor and a bispinor-vector (set of Dirac matrices). The theory is required to be invariant under general co-ordinate transformations and similarity (spinor) transformations, and it is shown, under a minimum of restrictive hypotheses, that Einstein’s concept of teleparallelism is implied. Dirac’s equation is formulated in this unitary theory, and the electromagnetic field potentials are identified. An action density is proposed for the field which appears to exhibit gravitational and electromagnetic field properties consistent with experiment. There are indications that the charge of the elementary particles is quantized. Most of the paper is devoted to a specialization in which the ‘natural’ derivative of the Dirac matrices is made to vanish. The generalization of this theory is briefly considered at the end, and is found to introduce other fields, including a pseudo-scalar field which may account for nuclear forces.

Note on a Field Theory of Nuclear Forces

1940 ◽  
Vol 58 (1) ◽  
pp. 46-49 ◽  
Author(s):  
C. L. Critchfield ◽  
W. E. Lamb
Keyword(s):  
Field Theory ◽  
Nuclear Forces

scholarly journals Power counting for nuclear forces in chiral effective field theory

2016 ◽  
Vol 25 (05) ◽  
pp. 1641006 ◽  
Author(s):  
Bingwei Long
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Effective Field Theory ◽  
Present Note ◽  
Effective Field ◽  
Power Counting ◽  
Point Of View ◽  
Nuclear Forces ◽  
Chiral Effective Field Theory ◽  
Group Invariance

The present note summarizes the discourse on power counting issues of chiral nuclear forces, with an emphasis on renormalization-group invariance. Given its introductory nature, I will lean toward narrating a coherent point of view on the concepts, rather than covering comprehensively the development of chiral nuclear forces in different approaches.

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