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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

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

Sinya Aoki

Oxford University Press

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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