Positivity and convergence in fermionic quantum field theory

Journal of Statistical Physics

Volumn 99, Issue 1-2, 2000, Pages 557-586

  Salmhofer, Manfred ^a   Wieczerkowski, Christian ^b  

^a ETH ZURICH   (Switzerland)

^b UNIVERSITY OF MÜNSTER   (Germany)

Author keywords

Fermions; Gram estimates; Perturbation expansions; Renormalization group

Indexed keywords

EID: 0034339852     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1018661110470     Document Type: Article

References (17)

1. K. Gawedzki and A. Kupiainen, Gross Neveu model through convergent perturbation expansions, Commun. Math. Phys. 102:1-30 (1985).
2. J. Feldman, J. Magnen, Y. Rivasseau, and R. Sénéor, Massive Gross Neveu model: A rigorous perturbative construction, Phys. Rev. Lett. 54:1479-1481 (1985).
3. D. C. Brydges and J. D. Wright, Mayer expansions and the Hamilton-Jacobi equation II. Fermions, dimensional reduction formulas, J. Stat. Phys. 51:435-456 (1988); Erratum (1999), private communication, to be published.
4. J. Feldman, H. Knörrer, and E. Trubowitz, A representation for fermionic correlation functions, Commun. Math. Phys. 195:465-493 (1998).
5. M. Disertori and V. Rivasseau, Continuous constructive fermionic renormalization, Ann. Henri Poincaré 1:1 (2000).
6. A. Abdesselam and V. Rivasseau, Trees, forests and jungles: a botanical garden for cluster expansions, in Constructive Physics (Springer, 1995).
7. A. Abdesselam and V. Rivasseau, Explicit fermionic tree expansions, preprint, 1997.
8. E. Seiler, Gauge Theories as a Problem of Constructive Quantum Field Theory and Statistical Mechanics, Springer Lecture Notes in Physics (Springer-Verlag, Berlin/Heidelberg/ New York, 1982).
9. D. C. Brydges, A short course on cluster expansions, in Critical Phenomena, Random System, Gauge Theories (Les Houches, Session XLIII, 1984), K. Osterwalder and R. Stora, eds. (Elsevier, 1986).
10. M. Salmhofer, Renormalization: An Introduction, Texts and Monographs in Physics (Springer-Verlag, Berlin/Heidelberg New York, 1999).
11. O. Penrose, in Statistical Mechanics, T. Bak, ed. (Benjamin, New York, 1967).
12. 2 quantum field theory, Commun. Math. Phys. 108:437-467 (1987).
13. G. Mack and A. Pordt, Commun. Math. Phys. 97:267-298 (1985).
14. G. Battle and P. Federbush, A phase cell cluster expansion for Euclidean field theories, Ann. Phys. 142:95 (1982).
15. J. Glimm and A. Jaffe, Quantum Physics, Second Edition (Springer, Heidelberg, 1987).
16. M. Salmhofer and C. Wieczerkowski, Construction of the renormalized Gross-Neveu trajectory in 2 - ε dimensions, Math. Phys. Elec. J. 6(1) (2000).
17. J. Polchinski, Nucl. Phys. B 231:269 (1984).