Rigorous quantum field theory models

Authors:
J. Glimm and A. Jaffe

Journal:
Bull. Amer. Math. Soc. **76** (1970), 407-410

MSC (1970):
Primary 8135, 8146, 8147

DOI:
https://doi.org/10.1090/S0002-9904-1970-12492-2

MathSciNet review:
0253675

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References | Similar Articles | Additional Information

**1.**J. Glimm and A. Jaffe,*Singular perturbations of self adjoint operators*, Comm. Pure Appl. Math. 22 (1969), 401-414. MR**282243****2.**J. Glimm and A. Jaffe,*A*λ*ø*^{4}*quantum field theory without cutoffs*. I, Phys. Rev. 176 (1968), 1945-1951. MR**247845****3.**J. Glimm and A. Jaffe,*The*λ(*ø*^{4})_{2}*quantum field theory without cutoffs*. II:*The field operators and the approximate vacuum*, Ann. of Math. (to appear). MR**256677****4.**J. Glimm and A. Jaffe,*An infinite renormalization of the Hamiltonian is necessary*, J. Math. Phys. (to appear). MR**255186****5.**I. Segal,*Notes toward the construction of nonlinear relativistic quantum fields*. I:*The Hamiltonian in two space-time dimensions as the generator of a C*-automorphism group*, Proc. Nat. Acad. Sci. U.S.A. 57 (1967), 1178-1183. MR 35 #5195. MR**214344**

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DOI:
https://doi.org/10.1090/S0002-9904-1970-12492-2