To provide the necessary theoretical background and computational tools to carry out research in lattice gauge theories.
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The book is divided into two parts:
- Chapter 1 to 16: Zero temperature field theories(particularly QCD) on space time lattice.
- Chapter 17 to 20: Finite temperature field theories. Emphasis will be on QCD but concept will be introduced via scalar field theory in finite temperature.
- Fermion doubling explained in more detail in chapter 4.
- Addition of chapter for Lattice sum rules which are useful in understanding of flux tubes.
- Chapter 18 deals with doable, simple bosonic and fermionic systems with path Integral formulation. It provides basic understanding of lattice formulation of field theories.
- Chapter 19 is devoted to finite temperature perturbation theory in continuum and on lattice. Derivation of finite temperature chemical potential Feynman rules for QED and QCD in continuum and on lattice.
- Chapter 20 is for non-perturbative QCD at finite temperature. It is where we study phase transitions at finite temperature by introducing the Polyakov loop or Wilson loop(line) as order parameter which changes its value after critical temperature.