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Rigorous quantum field theory models. (English) Zbl 0191.27101


Keywords:

quantum theory
Full Text: DOI

References:

[1] James Glimm and Arthur Jaffe, Singular perturbations of selfadjoint operators, Comm. Pure Appl. Math. 22 (1969), 401 – 414. · Zbl 0167.42804 · doi:10.1002/cpa.3160220305
[2] James Glimm and Arthur Jaffe, A \?\?\(^{4}\) quantum field without cutoffs. I, Phys. Rev. (2) 176 (1968), 1945 – 1951. · Zbl 0177.28203
[3] James Glimm and Arthur Jaffe, The \?(\Pi \(^{4}\))\(_{2}\) quantum field theory without cutoffs. II. The field operators and the approximate vacuum, Ann. of Math. (2) 91 (1970), 362 – 401. · Zbl 0191.27005 · doi:10.2307/1970582
[4] James Glimm and Arthur Jaffe, Infinite renormalization of the Hamiltonian is necessary, J. Mathematical Phys. 10 (1969), 2213 – 2214. · Zbl 0184.54203 · doi:10.1063/1.1664825
[5] Irving Segal, Notes toward the construction of nonlinear relativistic quantum fields. I. The Hamiltonian in two space-time dimensions as the generator of a \?*-automorphism group, Proc. Nat. Acad. Sci. U.S.A. 57 (1967), 1178 – 1183. · Zbl 0162.57801
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