scholarly journals EFFECTIVE FIELD THEORY APPROACH TO THE NUCLEON–NUCLEON INTERACTION REVISITED

2006 ◽  
Vol 21 (05) ◽  
pp. 1079-1089 ◽  
Author(s):  
JAMBUL GEGELIA ◽  
STEFAN SCHERER
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Large Scale ◽  
Pion Mass ◽  
Nucleon Nucleon ◽  
Effective Field ◽  
Effective Theory ◽  
Theory Approach ◽  
Nucleon Nucleon Interaction ◽  
Interaction Problem

It is argued that Weinberg's approach to the nucleon–nucleon (NN) interaction problem within effective field theory provides a consistent power counting for renormalized diagrams. Within this scheme the NN potential is organized as an expansion in terms of small quantities like small external momenta and the pion mass (divided by the characteristic large scale of the effective theory). Physical observables to any given order in these small quantities are calculated from the solutions of the Lippmann–Schwinger (or Schrödinger) equation.

scholarly journals NEUTRINO PHYSICS AND NUCLEAR AXIAL TWO-BODY INTERACTIONS

2005 ◽  
Vol 14 (01) ◽  
pp. 39-46 ◽  
Author(s):  
A. B. BALANTEKIN ◽  
H. YÜKSEL
Keyword(s):  
Field Theory ◽  
Neutrino Physics ◽  
Effective Field Theory ◽  
Solar Neutrino ◽  
Nucleon Nucleon ◽  
Effective Field ◽  
Theory Approach ◽  
Nucleon Interaction ◽  
Counter Term ◽  
Nucleon Nucleon Interaction

We consider the counter-term describing isoscalar axial two-body currents in the nucleon–nucleon interaction, L1A, in the effective field theory approach. We determine this quantity using solar neutrino data. We investigate the variation of L1A when different sets of data are used.

Effective Field Theory in Particle Physics and Cosmology

2020 ◽  
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Particle Physics ◽  
Large Scale ◽  
Effective Field ◽  
Effective Theory ◽  
Soft Collinear Effective Theory ◽  
Multiple Length Scales ◽  
Cosmological Observations ◽  
Standard Models

Effective field theory (EFT) is a general method for describing quantum systems with multiple-length scales in a tractable fashion. It allows us to perform precise calculations in established models (such as the standard models of particle physics and cosmology), as well as to concisely parametrize possible effects from physics beyond the standard models. EFTs have become key tools in the theoretical analysis of particle physics experiments and cosmological observations, despite being absent from many textbooks. This volume aims to provide a comprehensive introduction to many of the EFTs in use today, and covers topics that include large-scale structure, WIMPs, dark matter, heavy quark effective theory, flavour physics, soft-collinear effective theory, and more.

scholarly journals Short-range interactions in an effective field theory approach for nucleon-nucleon scattering

1997 ◽  
Vol 56 (2) ◽  
pp. 679-688 ◽  
Author(s):  
K. A. Scaldeferri ◽  
D. R. Phillips ◽  
C.-W. Kao ◽  
T. D. Cohen
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Short Range ◽  
Nucleon Nucleon ◽  
Effective Field ◽  
Theory Approach ◽  
Nucleon Scattering

The nucleon–nucleon interaction from effective field theory

2001 ◽  
Vol 684 (1-4) ◽  
pp. 371-376 ◽  
Author(s):  
U.-G. Meißner ◽  
E. Epelbaum ◽  
W. Glöckle
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Nucleon Nucleon ◽  
Effective Field ◽  
Nucleon Interaction ◽  
Nucleon Nucleon Interaction

scholarly journals Spin effects in the effective field theory approach to Post-Minkowskian conservative dynamics

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Zhengwen Liu ◽  
Rafael A. Porto ◽  
Zixin Yang
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Scattering Problem ◽  
Finite Size ◽  
Effective Field ◽  
Compact Objects ◽  
Scattering Data ◽  
Theory Approach ◽  
Spin Effects ◽  
Radial Action

Abstract Building upon the worldline effective field theory (EFT) formalism for spinning bodies developed for the Post-Newtonian regime, we generalize the EFT approach to Post-Minkowskian (PM) dynamics to include rotational degrees of freedom in a manifestly covariant framework. We introduce a systematic procedure to compute the total change in momentum and spin in the gravitational scattering of compact objects. For the special case of spins aligned with the orbital angular momentum, we show how to construct the radial action for elliptic-like orbits using the Boundary-to-Bound correspondence. As a paradigmatic example, we solve the scattering problem to next-to-leading PM order with linear and bilinear spin effects and arbitrary initial conditions, incorporating for the first time finite-size corrections. We obtain the aligned-spin radial action from the resulting scattering data, and derive the periastron advance and binding energy for circular orbits. We also provide the (square of the) center-of-mass momentum to $$ \mathcal{O}\left({G}^2\right) $$ O G 2 , which may be used to reconstruct a Hamiltonian. Our results are in perfect agreement with the existent literature, while at the same time extend the knowledge of the PM dynamics of compact binaries at quadratic order in spins.

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