Abstract
In this chapter we give a brief introduction to Quantum Chromodynamics, the fundamental theory of strong interactions, and its discretization on a four-dimensional hypercubic grid. We discuss the requirements imposed by gauge symmetry and translate them on the lattice. We identify the fermion fields as living on the lattice sites and the gauge fields on the lattice links. We briefly introduce the problem of fermion doubling on the lattice. Finally, we discuss Monte Carlo techniques and give an example of importance sampling algorithms. For books and reviews on the topic we recommend (Rothe (1992) World Sci Lect Notes Phys 43:1–381; Smit (2002) Camb Lect Notes Phys 15:1–271).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Smit, J.: Camb. Lect. Notes Phys. 15, 1–271 (2002)
Rothe, H.J.: World Sci. Lect. Notes Phys. 43, 1–381 (1992)
Bhanot, G.: Rep. Prog. Phys. 51, 429 (1988)
Duane, S., Kennedy, A.D., Pendleton, B.J., Roweth, D.: Phys. Lett. B 195, 216–222 (1987)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Ratti, C., Bellwied, R. (2021). Introduction to Lattice QCD. In: The Deconfinement Transition of QCD. Lecture Notes in Physics, vol 981. Springer, Cham. https://doi.org/10.1007/978-3-030-67235-5_1
Download citation
DOI: https://doi.org/10.1007/978-3-030-67235-5_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-67234-8
Online ISBN: 978-3-030-67235-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)