Abstract
In this chapter, we review the basics and motivations of this thesis. The main subject of this paper is the relation between the non-perturbative phenomena such as quark-confinement and chiral symmetry breaking in QCD. First of all, I review the basics of QCD, including order parameters for confinement and Banks–Casher relation. In particular, the Banks–Casher relation shows the relation between chiral symmetry breaking and Dirac eigenmodes, and it is important formula in this thesis. Then, we review the lattice QCD, which is essential formalism for non-perturbative analysis of QCD. Finally, the motivation and outline of this thesis are shown.
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Notes
- 1.
In the cases of finite temperature with zero chemical potential, color SU(2), imaginary chemical potential, or isospin chemical potential, the Monte-Carlo simulation can be performed.
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Doi, T. (2017). Basics of QCD and Lattice QCD. In: Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking. Springer Theses. Springer, Singapore. https://doi.org/10.1007/978-981-10-6596-5_1
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