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https://doi.org/10.1142/9789812773982_0003Cited by:0 (Source: Crossref)
Abstract:

The following sections are included:

  • Lattice Schwinger model

    • Free fermions in one dimension

    • Species doubling

  • Hamiltonian with gauge fields

  • Feynman path integral

    • Pure gauge theory

    • Generalization to SU(3) pure gauge theory

    • Static quark potential

      • Polyakov loops and potential energy of point charges

      • Wilson loops and point charge potential

  • Free fermions

    • Grassmann calculus

    • Grassmann path integral for a two-level system

    • Fermion propagator

    • Path integral with particles and antiparticles

    • Generalization to higher dimensions

  • The interacting theory

    • Functional integral representation for the lattice Schwinger model