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Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance ComputingLecture Notes of the Les Houches Summer School: Volume 93, August 2009$
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Laurent Lellouch, Rainer Sommer, Benjamin Svetitsky, Anastassios Vladikas, and Leticia F. Cugliandolo

Print publication date: 2011

Print ISBN-13: 9780199691609

Published to Oxford Scholarship Online: January 2012

DOI: 10.1093/acprof:oso/9780199691609.001.0001

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Lattice QCD and nuclear physics

Lattice QCD and nuclear physics

Chapter:
(p.591) 10 Lattice QCD and nuclear physics
Source:
Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing
Author(s):

Sinya Aoki

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199691609.003.0010

This chapter consists of three parts. In the first part, Lüscher's formula, which relates the scattering phase shift to the two particle energy in finite volume, is explained. A comprehensive but less rigorous derivation for the formula has been attempted for the ??-system as an example with emphasis on the Bethe-Salpeter (BS) wave function. In the second part, the BS wave function is considered to define the potential in quantum field theories. This method is applied to the two-nucleon system, in order to extract the NN -potential from lattice QCD. In the last part, the origin of the strong repulsion at short distance in the NN-potential, called the repulsive core, is theoretically investigated by the Operator Product Expansion and the renormalization group.

Keywords:   Lattice QCD, Bethe-Salpeter Wave Function, Lüscher’s Formula, Scattering Phase Shift, ππ-Scattering, Nuclear Potential, Tensor Force, Repulsive Core, Operator Product Expansion

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