## Monte Carlo Calculations for Lattice Gauge Theories with Discrete Non-Abelian Gauge Groups |

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### Contents

INTRODUCTION TO LATTICE GAUGE THEORY | 7 |

PURE GAUGE THEORY AND DISCRETE GROUPS | 22 |

MONTE CARLO CALCULATIONS FOR PURE GAUGE THEORIES | 40 |

4 other sections not shown

### Common terms and phrases

2x2x2x2 lattice 8x8x8x8 lattice action per plaquette asymptotic freedom average action chapter Character tables comparison condition configuration continuous group continuum limit continuum theory convergence coupling constant Creutz D.H. Weingarten D.N. Petcher dimensional representation dimensional space discrete group discrete subgroups double groups edge effective action effective boson method effective coupling ensemble equation expectation value fact factor fermion effects finite flavor function gauge field gauge group graph Grassmann variables group elements group SU(2 Haar measure icosahedron including fermion Indiana University lattice action lattice gauge theory lattice spacing lattice theory link loop link update link variables loop expansion loops of side Markov chain minf Monte Carlo calculations obtained octahedron orientation path integral phase transition occurs Phys physical points probability distribution pure gauge theory quarks random variable renormalization sequence spacetime spin string tension strong coupling expansion strong coupling region subgroups of SU(2 three dimensional transfer matrix weak coupling region Wilson loop