## Applications of renormalization group recursion formulas to problems in critical phenomena and quantum field theory: A. Calculation of the critical exponent [eta]. B. Wave function renormalization of a scalar field theory in two space, one time dimensions. C. The Potts model |

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### Contents

INTRODUCTION | 3 |

WAVE FUNCTION RENORMALIZATION OF | 28 |

Chapter J THE POTTS MODEL | 37 |

2 other sections not shown

### Common terms and phrases

Appendix approximate component Potts model continuous spin critical behavior critical exponents Critical Functions critical phenomena critical temperature critical value cutoff dependence defined derived determined dimensionality dimensionless discrete Potts model equations fixed point Q^(y fluctuation term function Q^(y functional integration Gaussian group recursion formulas Hamiltonian Hexagonal Domain high temperature expansion high temperature series improvements to Wilson's Ising model Iterations of Q^(y K. G. Wilson Landau theory lattice with spacing lattice with unit low temperature M. E. Fisher mean field theory minima momentum shell non-Gaussian non-trivial fixed Numerical Analysis partition function phase transition Phys point Qc(y Position Space Box quantum field theory renormalization group approach renormalization group recursion renormalization problem SCALAR FIELD THEORY Seven Point Integration spontaneous magnetization Successive Iterations Symmetry Breaking Parameter temperature series expansions three component Potts three symmetrically placed tion transition point wave function renormalization Wc(y Wc(z Wilson's recursion formula