## A calculation of the two body elastic scattering amplitude for an Ising model quantum field theory on a lattice space |

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### Contents

THE ISING MODEL QUANTUM FIELD THEORY | 8 |

THE DIAGONALIZATION OF THE ISING MODEL QUANTUM | 70 |

of | 76 |

3 other sections not shown

### Common terms and phrases

Appendix asymptotic Axiom basis behavior boundary condition calculate commutation configurations contribution correlation length coupled critical point cubic define diagonal dimensional dimensions double pole eigenstates eigenvalue equation eigenvectors elastic scattering ELASTIC SCATTERING AMPLITUDE evaluate excitation expansion ferromagnetic finite Fourier transform g(kA graph topology graphical Hamiltonian Hilbert space implies inequivalent infinite lattice interaction IQFT Ising model Ising Model Quantum isomorphism lattice momentum lattice space Lippmann-Schwinger equation lowest order Model Quantum Field momenta multiparticle nearest neighbor nl n2 nln2 non-separable nonzero number of bonds phase transition Phys physical particle physical vacuum point function principal value integral problem quantum field theory relativistic representation requires scattered wave scattering amplitude single particle spectrum singularity spin correlation function spin factors symmetry theorem topologically distinct transfer matrix translational invariance translationally invariant unitary vacuum energy vanishes vector wave function yQ(x zero