Axiomatic Approach to Quantum Field Theory and Many Body Problem, Volume 1, Part 21968 - Axiomatic set theory |
Contents
On the Equilibrium States of Statistical Mechanics | 7 |
Some Topics in Axiomatic Nonrenormalizable Field Theory | 23 |
Asymptotic Condition in the Zachariasen | 56 |
7 other sections not shown
Common terms and phrases
A₁ A₂ analytic functional Araki assume asymptotic automorphism bounded operators broken symmetries commutation relations complex numbers condition consider continuous converges covariant cyclic defined denote domain equation equilibrium exists expectation values ferromagnet finite number formulation Hamiltonian Heisenberg Hence Hilbert space infinite infinite-component fields integral invariant irreducible K₁ Kastler Lemma linear Lorentz Lorentz covariant Lorentz group Math matrix elements measure Minkowski space norm particles Phys physical polynomial positive functional pre-norm proof properties prove quantum field theory R. F. Streater result Ruelle S₂ satisfying scalar sequence space-time spin and statistics spontaneously broken statistical mechanics Streater subset supp tempered distribution tensor product test functions test-function theorem tion topology transformation two-point function unitary operator V₁ vanishes von Neumann algebra Wightman functions x₁ zero