## Quantum Field Theory for the Exponential Type Boson Self Interactions in Two Space-time Dimensions |

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adjoint analytic vector assertion automorphism bilinear form boson field bounded function bounded operator bounded region C*-algebra Chapter closable Comm commute compact support complex numbers const converges strongly core for H(g cp f cp(x cpn(g D(HQ denote dense in H domain essentially self-adjoint exponential type boson field equation field operator cp(f finite number Fock space free field operators H_ g Haag-Kastler axioms Hamiltonian H(g Hence Hilbert space Hoegh-Krohn independent of g interaction Hamiltonian itH(g Jcp(x lemma lemma follows Let f linear Lorentz covariance Lorentzian Lp(Q,dq Math norm Phys physical Hilbert space polynomial interactions Proof proposition 3.1.2 prove the theorem Q-space representation Q,dq Quantum Field Theory relation s-lim self-adjoint operator semi-group space cutoff space F spectral projections strong limit strongly continuous supp symmetric operator taking the limit tt f uniformly unitary operator vacuum vector Wick power Wightman axioms x)dx xD(H