Chapter

Lattice QCD and nuclear physics

Sinya Aoki

in Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing

Published in print August 2011 | ISBN: 9780199691609
Published online January 2012 | e-ISBN: 9780191731792 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199691609.003.0010

Series: Lecture Notes of the Les Houches Summer School

Lattice QCD and nuclear physics

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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

Chapter.  19597 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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