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Lattice Quantum Chromodynamics

Part of the SpringerBriefs in Physics Book Series

DOI: 10.1007/978-94-024-0999-4

ISBN: 978-94-024-0997-0

Publisher: Springer Netherlands - Springer Journals

Oct 21, 2016

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Chapter 1Quantum Field Theory (QFT) on the Lattice

Knechtli, Francesco; Günther, Michael; Peardon, Michael

Pages: 1 –34

[In 1964, Gell-Mann [1] and Zweig [2] proposed that hadrons, the particles which experience strong interactions, are made of quarks. Quarks are confined within hadrons and never seen in isolation. Electron-nucleon scattering experiments at large momentum transfer could be explained by assuming...
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Chapter 2Monte Carlo Methods

Knechtli, Francesco; Günther, Michael; Peardon, Michael

Pages: 35 –53

[No way to compute the path integral of lattice QCD analytically is known. Even on a finite lattice it amounts of solving the very-high-dimensional integral of Eq. (1.85).]
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Chapter 3Handling Fermions on the Lattice

Knechtli, Francesco; Günther, Michael; Peardon, Michael

Pages: 55 –96

[In Chap. 2, the ideas of Monte Carlo estimation of the path integral of a bosonic field were introduced. Consider now the problem of evaluating path integrals of fermions, remembering that defining the fermion path integral means introducing Grassmann integrals, see Sect. 1.3.2.]
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Chapter 4Calculating Observables of Quantum Fields

Knechtli, Francesco; Günther, Michael; Peardon, Michael

Pages: 97 –133

[In this chapter, the task of computing hadron properties is outlined. We write path-integral representations of the relevant quantum-mechanical expectation value and then describe the best current method to compute this in a Monte Carlo calculation. Many of the mathematical tools and ideas...

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