## Axiomatic approach to quantum field theory and many body problem, Volume 1, Part 2 |

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### Contents

On the Equilibrium States of Statistical Mechanics | 7 |

Some Topics in Axiomatic Nonrenormalizable Field Theory | 23 |

Asymptotic Condition in the Zachcriasen Thirring | 56 |

7 other sections not shown

### Common terms and phrases

analytic functional analytio Araki arbitrary assume assumption automorphism bounded operators commutation relations condition consider continuous converges corresponding decomposition defined definition denote dense derivatives direot domain equation equilibrium equivalent example exists expectation values faot ferromagnet finite number formulation funotions growth order Hamiltonian Hence Henoe Hilbert space infinite infinite-component fields integral invariant irreducible Kastler Lemma limit locality Lorentz Math matrix elements measure Minkowski Minkowski space Neumann algebra norm notation obtain particles Phys physical polynomial positive functional pre-norm problem produot veotors proof properties prove quantum field theory R. F. Streater respect result Ruelle satisfying scalar produot self-adjoint sequence sinoe spaoe spectrum spin and statistics spontaneously broken symmetry statistical mechanics Streater subset supp symmetry operations tempered distribution tensor product test-function theorem tion topology two-point function unitary operator unitary representation vanishes vector weak topology whlch Wightman functions zero