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The original Osterwalder-Schrader theorem is in Commun. Math. Phys. 31, 83(1973), 42, 281 (1975). A theorem similar to this can be found in J. Glimm and A. Jaffe in “New Developments in Quantum Field Theory and Statisticl Mechanics”, edited by P. Mitter and M. Lévy, 1976 Cargèse Lectures. The version here is contained in our forthcoming book. The case p = 2 (e.g. free field) can be handled with a separate assumption.
The ϕ3 4 existence theorem combines J. Glimm and A. Jaffe, Fort. d. Physik 21, 327 (1973) with J. Feldman and K. Osterwalder, Ann. Phys. 97 80 (1976) and with J. Magnen and R. Sénéor, Ann. de l'Inst. H. Poincaré 24, 95 (1976). See Commun. Math. Phys. 56, 237 (1977). The strong coupling theory is given in J. Fröhlich, B. Simon and T. Spencer, Commun. Math. Phys. 50, 79 (1976). Other references can be found in these proceedings, e.g. to the work of Gallavotti et al.
References to the construction of P(ϕ)2 models can be found in “Statistical Mechanics and Quantum Field Theory” 1970 Les Houches Lectures, C. DeWitt and R. Stora Editors, Gordon and Breach; in “Mathematics of Contemporary Physics,” R. Streater Editor, 1971 London Mathematical Society Symposium, Academic Press; and in “Constructive Quantum Field Theory” edited by G. Velo and A. Wightman, 1973 Erice Summer School, Springer Lecture Notes in Physics V25. The construction of the Yukawa2 model is given in R. Schrader, Ann. Phys. 70, 412 (1972), E. Seiler, Commun. Math. Phys. _42, 163 (1975), J. Magnen and R. Sénéor, Commun. Math. Phys. 51, 297 (1976) and A. Cooper and L. Rosen, Trans. Am. Math. Soc. 234, 1(1977). The recent work of D. Brydges, J. Fröhlich and E. Seiler on the Higgs2 model is in press in Commun. Math. Phys. and in these proceedings. The 1/n expansion of Kupiainen is also in these proceedings, as is the work in progress of Balaban. Multiphase ϕ2 6 models are studied by K. Gawedzki, Commun. Math. Phys. 59, 117 (1978) and S. Sommers, preprint.
See 1973 Erice and 1976 Cargèse Lectures.
J. Glimm and A. Jaffe, Ann. l'Inst. H. Poincaré 22, 97 (1975) and in the 1979 Cargèse Lectures, Plenum Press, in press.
M. A. Moore, D. Jasnow and M. Wortis, Phys. Rev. Lett. 22, 940 (1969); J. Kincaid, G. Baker and W. Fullerton, LA-UR-79-1575; G. Baker and J. Kincaid, LA-UR-79-2655; J. Le Guillou and J. Zinn Justin, Phys. Rev. Lett. 39, 95 (1977).
D. Brydges, Commun. Math. Phys. 58, 313 (1978); D. Brydges and P. Federbush, Commun. Math. Phys., in press; and P. Federbush, these proceedings.
M. Kosterlitz and D. Thouless, J. Phys. C5, 1124 (1972).
See John D. Weeks, “The Roughening Transition” in 1979 Geilo (Norway) School, to appear.
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Jaffel, A. (1980). Constructive field theory. In: Osterwalder, K. (eds) Mathematical Problems in Theoretical Physics. Lecture Notes in Physics, vol 116. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09964-6_320
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