${\Phi }^4$ field theory in dimension 4 : a modern introduction to its unsolved problems

 Access to full text

 Full (PDF)

1. [1] Landau and al. in Collected papers of L. D. Landau, Gordon and Breach, 1965. 
2. [2] I. Pomeranchuk, V. Sudakov and K. Ter Martirosyan, Phys. Rev., t. 103, 1956, p. 784. MR82374
3. [3] K.G. Wilson and J. Kogut, Phys. Rep., t. 12 C, 1974, p. 75. 
4. [4] G.A. Baker and J. Kincaid, M. Phys. Rev. Lett., t. 42, 1979, p. 1431 and Journ. Stat. Phys., t. 24, 1981, p. 471. 
5. [5] M. Aizenman, Phys. Rev. Lett., t. 47, 1981, p. 1 and Commun. Math. Phys., t. 86, 1982, p. 1. Zbl0533.58034MR620135
6. [6] J. Fröhlich, Nucl. Phys., t. B 200 (FS 4), 1982, p. 281. MR643591
7. [7] G. Gallavotti and V. Rivasseau, Phys. Lett., t. 122 B, 1983, p. 268. MR697860
8. [8] K. Symanzik, Lett. al Nuovo Cimento, t. 6, n° 2, 1973. 
9. [9] E. Nelson, in Constructive Quantum Field Theory, Lecture Notes in Physics, ed. by G. Velo and A. Wightman, 1973. MR395513
10. [10] W. Zimmermann, Comm. Math. Phys., t. 11, 1968, n° 1 and t. 15, 1969, p. 208. Zbl0192.61203
11. [11] C. De Calan and V. Rivasseau, Comm. Math. Phys., t. 82, 1981, p. 69. MR638514
12. [12] A. Sokal, Ann. Inst. Henri Poincaré, t. 37, n° 4, 1982, p. 317. MR693644
13. [13] B. Simon, The P(φ)2 Euclidean Quantum Field Theory, Princeton University Press, 1974. MR489552
14. [14] J. Bros, in Proceedings of the International Conference on Mathematical Physics, Lausanne, 1979, Lecture Notes, 1980. 
15. [15] K. Symanzik, in Proc. of the VIth International Conference on Mathematical Physics, Berlin, August, 1981. 
16. [16] J. Glimm and A. Jaffe, Phys. Rev., D 11, t. 10, 1975, p. 2816. MR452301
17. [17] G. T'Hooft, in Lectures given at the Ettore Majorana School, Erice, Sicily, 1977. 
18. [18] G. Parisi, Phys. Lett., t. 76 B, 1978, p. 65 and Phys. Rep., t. 49, 1979, p. 215. MR503144
19. [19] F. David, Nucl. Phys., t. B 209, 1982, p. 433. MR688109
20. [20] M.C. Bergère and J.B. Zuber, Comm. Math. Phys., t. 35, 1974, p. 113. MR342090
21. [21] M.C. Bergère and Y.M.P. Lam, Journ. Math. Phys., t. 17, 1976, p. 1546. 
22. [22] M.C. Bergère, C. De Calan and A.P.C. Malbouisson, Comm. Math. Phys., t. 62, 1978, p. 137. MR505709