QUANTUM FIELDS ON A LATTICE

The following sections are included:

• Lattice Bosons

• Lattice Fermions

  • Lattice fermions and the doubling problem

    • Doubling of the lattice constant

    • Spectrum doubling group

    • Wilson fermions

    • Resolution of the doubling problem

    • Kogut-Susskind fermions

    • Gliozzi form

  • Dirac-Kähler fermions

    • Fermionic Fock space and exterior algebra

    • Clifford multiplication

    • Grassmann variables

    • Dirac operator and differential forms: Bosons

    • Dirac operator and differential forms: Fermions

  • Lattice fermions and the path integral

• Lattice Gauge Fields

  • Gauge theories on an infinite lattice

  • Gauge theories on a finite lattice and the ‘t Hooft algebra