Rigorous quantum field theory models

Glimm, J.; Jaffe, A.

doi:10.1090/S0002-9904-1970-12492-2

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Rigorous quantum field theory models
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Bull. Amer. Math. Soc. 76 (1970), 407-410

References

James Glimm and Arthur Jaffe, Singular perturbations of selfadjoint operators, Comm. Pure Appl. Math. 22 (1969), 401–414. MR 282243, DOI 10.1002/cpa.3160220305
James Glimm and Arthur Jaffe, A $\lambda \phi ^{4}$ quantum field without cutoffs. I, Phys. Rev. (2) 176 (1968), 1945–1951. MR 247845, DOI 10.1103/PhysRev.176.1945
James Glimm and Arthur Jaffe, The $\lambda (\Pi ^{4})_{2}$ quantum field theory without cutoffs. II. The field operators and the approximate vacuum, Ann. of Math. (2) 91 (1970), 362–401. MR 256677, DOI 10.2307/1970582
James Glimm and Arthur Jaffe, Infinite renormalization of the Hamiltonian is necessary, J. Mathematical Phys. 10 (1969), 2213–2214. MR 255186, DOI 10.1063/1.1664825
Irving Segal, Notes toward the construction of nonlinear relativistic quantum fields. I. The Hamiltonian in two space-time dimensions as the generator of a $C^{\ast }$-automorphism group, Proc. Nat. Acad. Sci. U.S.A. 57 (1967), 1178–1183. MR 214344, DOI 10.1073/pnas.57.5.1178