Mecanique Statistique Et Theorie Quantique Des Champs

A₁ analytic argument B₁ Banach algebra Bosons bounded operator C*-algebra commutes compact configuration const continuous functions converges strongly convex convex set cutoff defined denote dense eigenvalue element equation equilibrium equivalent estimate exists extremal points factor ferromagnet finite Fock space graph H₁ H₁(g H₂ Hamiltonian Hence Hilbert space infinite volume integral interaction Ising Ising model k₁ kernel L₂ lattice lemma limit mapping Math measure Neumann algebra norm obtain operator topology orthogonal P₁ P₂ particles phase transition Phys positive linear functional projections proof PROPOSITION prove Q₁ quantum field theory renormalization representation result Ruelle satisfies self-adjoint sequence sinh spins Statistical Mechanics subset subspace symmetric temperature theorem thermodynamic trajectories variables vector space von Neumann algebra w₁ w₂ x₁ zero