On the phase diagram of a P ( φ ) 2 quantum field model

Stephen J. Summers

Annales de l'I.H.P. Physique théorique (1981)

  • Volume: 34, Issue: 2, page 173-229
  • ISSN: 0246-0211

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Summers, Stephen J.. "On the phase diagram of a $P (\phi )_2$ quantum field model." Annales de l'I.H.P. Physique théorique 34.2 (1981): 173-229. <http://eudml.org/doc/76114>.

@article{Summers1981,
author = {Summers, Stephen J.},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {2},
pages = {173-229},
publisher = {Gauthier-Villars},
title = {On the phase diagram of a $P (\phi )_2$ quantum field model},
url = {http://eudml.org/doc/76114},
volume = {34},
year = {1981},
}

TY - JOUR
AU - Summers, Stephen J.
TI - On the phase diagram of a $P (\phi )_2$ quantum field model
JO - Annales de l'I.H.P. Physique théorique
PY - 1981
PB - Gauthier-Villars
VL - 34
IS - 2
SP - 173
EP - 229
LA - eng
UR - http://eudml.org/doc/76114
ER -

References

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  9. [GJ2] J. Glimm and A. Jaffe, On the Approach to the Critical Point, Ann. Inst. Henri Poincaré, t. 22, 1975, p. 109-122. MR384013
  10. [GJS1] J. Glimm, A. Jaffe and T. Spencer, The Particle Structure of the Weakly Coupled P(φ)2 Model and Other Applications of High Temperature Expansions, in Constructive Quantum Field Theory, edited by G. Velo and A. Wightman, Lecture Notes in Physics, Springer-Verlag, Berlin, t. 25, 1973. MR395513
  11. [GJS2] J. Glimm, A. Jaffe and T. Spencer, Existence of Phase Transitions for Quantum Fields, Proceedings of 1975 Marseille Conference. Zbl0956.82501
  12. [GJS3] J. Glimm, A. Jaffe and T. Spencer, Phase Transitions for φ42 Quantum Fields, Comm. math. Phys., t. 45, 1975, p. 203-216. Zbl0956.82501MR391797
  13. [GJS4] J. Glimm, A. Jaffe and T. Spencer, Convergent Expansion about Mean Field Theory, I and II, Ann. Phys., t. 101, 1976, p. 610-630 and p. 631-669. 
  14. [Gu1] F. Guerra, Uniqueness of the Vacuum Energy Density and van Hove Phenomenon in the Infinite Volume Limit for Two-Dimensional Self-Coupled Bose Fields, Phys. Rev. Lett., t. 28, 1972, p. 1213. 
  15. [Gu2] F. Guerra, External Field Dependence of Magnetization and Long Range Order in Quantum Field Theory, in Quantum Dynamics: Models and Mathematics, edited by L. Streit; Acta Phys. Austr., suppl. t. 16, 1976. MR674668
  16. [GRS1] F. Guerra, L. Rosen and B. Simon, The P(φ)2 Euclidean Quantum Field Theory as Classical Statistical Mechanics, I and II, Ann. Math., t. 101, 1975, p. 111-189 and 191-259. MR378670
  17. [GRS2] F. Guerra, L. Rosen and B. Simon, Boundary Conditions for the P(φ)2 Euclidean Field Theory, Ann. Inst. H. Poincaré, t. 25, 1976, p. 231-334. MR441150
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  19. See also: I.M. Gel'fand and N.Ya. Vilenkin, Generalized Functions, Academic Press, New York, t. 4, 1964. 
  20. [N] E. Nelson, Probability Theory and Euclidean Field Theory, in Constructive Quantum Field Theory, edited by G. Velo and A. Wightman, Lecture Notes in Physics, Springer-Verlag, Berlin, t. 25, 1973. Zbl0367.60108MR395513
  21. [OS] K. Osterwalder and R. Schrader, Axioms for Euclidean Green's Functions, I and II, Comm. math. Phys., t. 31, 1973, 83-112 and t. 42, 1975, p. 281-305. Zbl0274.46047
  22. [Si1] B. Simon, Correlation Inequalities and the Mass Gap in P(φ)2, I. Domination by the Two Point Function, Comm. math. Phys., t. 31, 1973, p. 127-136. MR329495
  23. [Si2] B. Simon, The P(φ)2 Euclidean (Quantum) Field Theory, Princeton University Press, Princeton, 1974. MR489552
  24. [Sp] T. Spencer, The Mass Gap for the P(φ)2 Quantum Field Model with a Strong External Field, Comm. math. Phys., t. 39, 1974, p. 63-76. MR363294
  25. [Su1] S. Summers, Harvard University Thesis, 1979. 
  26. [Su2] S. Summers, A New Proof of the Asymptotic Nature of Perturbation Theory in P(φ)2 Models, Helv. Phys. Acta, t. 53, 1980, p. 1-30. MR594327

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