Generic Feynman amplitudes

Speer, E. R. ; Westwater, M. J.

Annales de l'I.H.P. Physique théorique, Tome 15 (1971), p. 1-55 / Harvested from Numdam

Détail

Publié le : 1971-01-01

MR 284095 | Zbl 0208.27905 | 2 citations dans Numdam

Bibliographie

[1] G. Ponzano, T. Regge, E.R. Speer and M.J. Westwater, Commun. Math. Phys., t. 15, 1969, p. 83-132. | MR 253661 | Zbl 0197.26204

[2] T. Regge. « The fundamental group of Poincaré and the Analytic properties of Feynman rèlativistic amplitudes », Nobel Symposium 8. Elementary Particle Theory, ed., Nils Svartholm, New York, Interscience, 1969.

[3] G. Ponzano and T. Regge, The Monodromy Group of One Loop Relativistic Feynman Integrals. Published in a volume on the occasion of the 60th birth day of the Academician N.N. Bogoliubov.

[4] G. Ponzano, T. Regge, E.R. Speer and M.J. Westwater, The Monodromy Rings of One-Loop Feynman Amplitudes, to be published in Commun. Math. Phys. | Zbl 0201.30804

[5] T. Regge, E.R. Speer and M.J. Westwater, The Monodromy Rings of the Necklace Graphs, to appear. | MR 459375

[6] R.E. Cutkosky, J. Math. Phys., t. 1, 1960, p. 429-433. | MR 118351 | Zbl 0122.22605

[7] J.C. Polkinghorne and G.R. Screaton, Nuovo Cimento, t. 15, 1960, p. 925. | MR 127825

[8] L.D. Landau, Nucl. Phys., t. 13, 1959, p. 181-192. | MR 141405 | Zbl 0088.22004

[9] C. Berge, The Theory of Graphs, London, Methuen and Co., Ltd, 1962. | MR 132541 | Zbl 0097.38903

[10] E.R. Speer, Generalized Feynman Amplitudes, Princeton University Press, 1969. | MR 241077 | Zbl 0172.27301

[11] T. Regge, Algebraic Topology methods in the theory of Feynman relativistic amplitudes. Batelle Rencontres 1967 Lectures in Mathematics and Physics, ed. C. M. DeWitt, J. A. Wheeler, New York, W. A. Benjamin, 1968. | Zbl 0174.28202

[12] L.V. Ahlfors, Complex Analysis (1st edition), New York, McGraw-Hill, 1953. | Zbl 0052.07002

[13] E.L. Ince, Ordinary Differential Equations, New York, Dover, 1956. | MR 10757

[14] K. Hepp, Commun. Math. Phys., t. 2, 1966, p. 301. | MR 250603

[15] I.M. Gel'Fand and G.E. Shilov, Generalized Functions, vol. I, New York, Academic Press, 1964. | Zbl 0115.33101

[16] D. Fotiadi, M. Froissart, J. Lascoux and F. Pham, Topology, t. 4, 1965, p. 159-191. | MR 214101 | Zbl 0173.09301

[17] T. Kinoshita, J. Math. Phys., t. 3, 1962, p. 650-677. | Zbl 0118.44501

[18] B.L. Van Der Waerden, Modern Algebra, vol. II, New York, Frederic Ungar Publishing Co, 1948.

[19] C. Risk, J. Math. Phys., t. 9, 1968, p. 2168-2172.

[20] A. Sard, Bull. Amer. Math. Soc., t. 48, 1942, p. 883-890. | MR 7523 | Zbl 0063.06720

[21] R.J. Eden, P.V. Landshoff, D.I. Olive and J.C. Polkinghorne, The Analytic S-Matrix. Cambridge University Press, 1966. | MR 204051 | Zbl 0139.46204

[22] M.J. Westwater, Helv. Phys. Acta, t. 40, 1967, p. 389-400. | MR 218064

[23] J.C. Polkinghorne, Analytic Properties in Perturbation Theory. Lectures in Theoretical Physics. Brandeis Summer Institute, 1961, vol. I, New York, W. A. Benjamin, 1961. | MR 152310

[24] L.B. Okun and A.P. Rudik, Nucl. Phys., t. 14, 1960, p. 261-288. | MR 109663

[25] H. Hironaka, Ann. Math., t. 79, 1964, p. 109-326. | MR 199184 | Zbl 0122.38603

[26] P. Orlik and P. Wagreich, Isolated singularities of Algebraic surfaces with C* action, Institute for Advanced study preprint, 1970. | MR 284435

[27] F. Pham, Introduction à l'Étude topologique des Singularités de Landau, Paris, Gauthier-Villars, 1967. | MR 229263 | Zbl 0157.27503

[28] J.B. Boyling, Nuovo Cimento, t. 53, 1968, p. 351-375. | MR 230520 | Zbl 0162.29105

[29] T. Regge, Talk delivered at the Accademia dei Lincei during the Mendeleyev meeting on symmetry and periodicity in elementary particles, September, 1969.