Construction of Interacting Quantum Fields : a Survey

Oscar E. Lanford

Recherche Coopérative sur Programme n°25 (1968)

  • Volume: 6, page 1-34

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Lanford, Oscar E.. "Construction of Interacting Quantum Fields : a Survey." Recherche Coopérative sur Programme n°25 6 (1968): 1-34. <http://eudml.org/doc/274077>.

@article{Lanford1968,
author = {Lanford, Oscar E.},
journal = {Recherche Coopérative sur Programme n°25},
language = {eng},
pages = {1-34},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {Construction of Interacting Quantum Fields : a Survey},
url = {http://eudml.org/doc/274077},
volume = {6},
year = {1968},
}

TY - JOUR
AU - Lanford, Oscar E.
TI - Construction of Interacting Quantum Fields : a Survey
JO - Recherche Coopérative sur Programme n°25
PY - 1968
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 6
SP - 1
EP - 34
LA - eng
UR - http://eudml.org/doc/274077
ER -

References

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  1. [1] A. M. Jaffe, "Dynamics of a Cut-Off λ φ 4 Field Theory," Princeton University Ph. D. thesis, 1965 
  2. [2] O. E. Lanford III, "Construction of Quantum Fields Interacting by a Cut-Off Yukawa Coupling," Princeton University Ph. D. thesis 1966 
  3. [3] M. Guenin, Commun. Math. Phys.3120-132 (1966) Zbl0139.46101MR204069
  4. [4] I. E. Segal, Proc. Nat. Acad. Sci. (U.S.A) 571178-1183 (1967) Zbl0162.57801MR214344
  5. [5] P. H. Chernoff, Jour. Funct. Anal.2238-242 (1968) Zbl0157.21501
  6. [6] A. M. Jaffe and R. T. Powers, Commun. Math. Phys.7, 218-221 (1968) Zbl0159.60202MR1552534
  7. [7] J. Glimm, Commun. Math. Phys.5343-386 (1967) Zbl0155.57001MR215585
  8. [8] J. Glimm, Commun. Math. Phys.661-76 (1967) Zbl0162.28902MR218073
  9. [9] J. Glimm, Commun. Math. Phys.812-25 (1968) Zbl0173.29903MR231601
  10. [10] E. Nelson, "A Quartic Interaction in Two Dimensions" in Mathematical Theory of Elementary Particles ed. by R. Goodman and I. Segal, pp. 69-73, Cambridge : M. I. T. Press, 1965. MR210416
  11. [11] J. Glimm, "Boson Fields with the : φ 4 : Interaction in Three Dimensions," M. I. T. Preprint (1968). Zbl0175.24702MR231601
  12. [12] E. Nelson, Jour. Math. Phys.51190-1197 (1964) 
  13. [13] K. Friedrichs, Perturbation of Spectra in Hilbert Space, Am. Math. Soc., Providence (1965) Zbl0142.11001MR182883
  14. [14] J. Glimm and A. M. Jaffe, “Singular Perturbations of Self-Adjoint Operators” and “A λ φ 4 Quantum Field Theory Without Cut-Offa I”, M. I. T. Preprints (1968). Zbl0167.42804

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