Continuity of the four-point function of massive φ4 4-theory above threshold

Reviews in Mathematical Physics

Volumn 19, Issue 7, 2007, Pages 725-747

  Kopper, Christoph ^a  

^a CENTRE DE PHYSIQUE THÉORIQUE   (France)

Author keywords

Quantum field theory; Renormalization; Threshold

Indexed keywords

EID: 34547142693     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129055X07003103     Document Type: Article

References (25)

1. M. Bergère and J. B. Zuber, Renormalization of Feynman amplitudes and parametric integral representation, Commun. Math. Phys. 35 (1974) 113-140.
2. C. Chandler, Some physical region mass shell properties of renormalized Feynman integrals, Commun. Math. Phys. 19 (1970) 169-188.
3. H. Epstein and V. Glaser, The role of locality in perturbation theory, Ann. Inst. Poincaré XIX (1973) 211-295.
4. H. Epstein and V. Glaser, Adiabatic limit in perturbation theory, in Renormalization Theory, eds. G. Velo and A. Wightman (D. R-eidel Publishing Company Utrecht, 1976), p. 193.
5. R. J. Eden, P. V. Landshoff, D. I. Olive and J. C. Polkinghorne, The Analytic. S-Matrix (Cambridge University Press, Cambridge, 1966).
6. I. M. Gelfand and G. E. Schilow, Generalized Functions Distributions (Academic Press, New York, 1964).
7. K. Hepp, Proof of the Bogoliubov-Parasiuk theorem on renormalization, Commun. Math. Phys. 2 (1966) 301-326.
8. K. Hepp, Théorie de la Renormalisation, Lecture Notes in Physics, Vol. 2 (Springer Verlag, Heidelberg, 1969).
9. K. Hepp, Renormalization theory, in Statistical Mechanics and Quantum Field Theory, eds. C. de Witt and R. Stora (Gordon and Breach, New York, 1971), pp. 429-500.
10. C. Itzykson and J. B. Zuber, Quantum Field Theory (Mc Graw Hill, New York, 1980).
11. G. Keller, Ch. Kopper and C. Schophaus, Perturbative renormalization with flow equations in Minkowski space, Helv. Phys. Acta 70 (1997) 247-274.
12. 4, Helv. Phys. Acta 65 (1992) 33-52.
13. V. F. Müller, Perturbative renormalization by flow equations, Rev. Math. Phys. 15 (2003) 491-558.
14. L. D. Landau, On analytic properties of vertex parts in quantum field theory, Nucl. Phys. 13 (1959) 181-192.
15. N. Nakanishi, Graph Theory and Feynman Integrals (Gordon and Breach, New York, 1970).
16. K. Osterwalder and R. Schrader, Axioms for Euclidean Green's functions I, Commun. Math. Phys. 31 (1973) 83-112.
17. K. Osterwalder and R. Schrader, Axioms for Euclidean Green's functions II, Commun. Math. Phys. 42 (1975) 281-305.
18. J. Polchinski, Renormalization and effective Lagrangians, Nucl. Phys. B 231 (1984) 269-295.
19. V. A. Smirnov, Feynman Integral Calculus (Springer Verlag, Heidelberg, 2006).
20. E. Speer, Generalized Feynman Amplitudes, Annals of Mathematics Studies, No. 62 (Princeton University Press, Princeton, 1969).
21. O. Steinmann, Perturbation Expansions in Axiomatic Field Theory, Lecture Notes in Physics, Vol. 11 (Springer Verlag, Heidelberg, 1971).
22. G. 't Hooft and M. Veltman, Scalar one-loop integrals, Nucl. Phys. B 513 (1979) 365-401.
23. I. T. Todorov, Analyticity Properties of Feynman Diagrams in Quantum Field Theory (Pergamon Press, Oxford, 1971).
24. W. Zimmermann, The power counting theorem for Minkowski metric, Commun. Math. Phys. 11 (1968) 1-8.
25. W. Zimmermann, Convergence of Bogoliubov's method of renormalization in momentum space, Commun. Math. Phys. 15 (1969) 208-234.