Legendre transforms and r-particle irreducibility in quantum field theory : the formalism for fermions
Annales de l'I.H.P. Physique théorique, Volume 43 (1985) no. 1, p. 29-106
@article{AIHPA_1985__43_1_29_0,
     author = {Cooper, Alan and Feldman, Joel and Rosen, Lon},
     title = {Legendre transforms and $r$-particle irreducibility in quantum field theory : the formalism for fermions},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {43},
     number = {1},
     year = {1985},
     pages = {29-106},
     zbl = {0584.46060},
     mrnumber = {813139},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1985__43_1_29_0}
}
Cooper, Alan; Feldman, Joel; Rosen, Lon. Legendre transforms and $r$-particle irreducibility in quantum field theory : the formalism for fermions. Annales de l'I.H.P. Physique théorique, Volume 43 (1985) no. 1, pp. 29-106. http://www.numdam.org/item/AIHPA_1985__43_1_29_0/

[1] A. Cooper, J. Feldman and L. Rosen, Legendre transforms and r-particle irreducibility in quantum field theory: the formalism for r = 1, 2, Ann. Phys., t. 137, 1981, p. 146-209. | MR 638890

[2] A. Cooper, J. Feldman and L. Rosen, Legendre transforms and r-particle irreducibility in quantum field theory: the formal power series framework, Ann. Phys., t. 137, 1981, p. 213-261. | MR 640319 | Zbl 0491.46064

[3] A. Cooper, J. Feldman and L. Rosen, Higher Legendre transforms and their relationship to Bethe-Salpeter kernels and r-field projectors, J. Math. Phys., t. 23, 1982, p. 846-868. | MR 655903

[4] A. Cooper, J. Feldman and L. Rosen, Cluster irreducibility of the third and fourth Legendre transforms in quantum field theory, Phys. Rev., t. D25, 1982, p. 1565-1578. | MR 649049

[5] A. Cooper, J. Feldman and L. Rosen, The low energy spectrum of the Yukawa2 model, in preparation.

[6] J. Schwinger, On the Green's functions of quantized fields. I. Proc. N. A. S., t. 37, 1951, p. 452-455. | MR 45065 | Zbl 0044.43001

[7] F.A. Berezin, The method of second quantization, Academic Press, New York, 1966. | MR 208930 | Zbl 0151.44001

[8] S. Coleman, Secret symmetry: an introduction to spontaneous symmetry Breakdwon and gauge fields, in Laws of Hadronic matter, A Zichichi, ed., Academic Press, New York, 1973. | MR 468723

[9] E. Seiler, Schwinger functions for the Yukawa model in two dimensions with space-time cutoff, Comm. Math. Phys., t. 42, 1975, p. 163-182. | MR 376022

[10] A. Cooper and L. Rosen, The weakly coupled Yukawa2 field theory: cluster expansion and Wightman axioms, Trans. A. M. S., t. 234, 1977, p. 1-88. | MR 468872

[11] J. Magnen and R. Sénéor, The Wightman axioms for the weakly coupled Yukawa model in two dimensions, Commun. Math. Phys., t. 51, 1976, p. 297-313. | MR 434224

[12] T. Spencer, The decay of the Bethe-Salpeter kernel in P(φ)2 quantum field models, Commun. Math. Phys., t. 44, 1975, p. 143-164. | MR 389080