Convergence of perturbation expansions in fermionic models. Part 1: Nonperturbative bounds

Communications in Mathematical Physics

Volumn 247, Issue 1, 2004, Pages 195-242

  Feldman, Joel ^a   Knörrer, Horst ^b   Trubowitz, Eugene ^b  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2542615411     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-004-1039-1     Document Type: Article

References (17)

1. [BS] Berezin, F., Shubin, M.: The Schrödinger Equation. Amsterdam: Kluwer, 1991. Supplement 3: D.Leǐtes, Quantization and supermanifolds
2. [DR] Disertori, M., Rivasseau, V.: Continuous constructive fermionic renormalization. Annales Henri Poincaré 1, (2000)
3. [FKLT1] Feldman, J., Knörrer, H., Lehmann, D., Trubowitz, E.: Fermi Liquids in Two-Space Dimensions. In: Constructive Physics V. Rivasseau, (ed.), Springer Lecture Notes in Physics 446, Berlin-Heidelberg-New York: Springer, 1995, pp. 267-300
4. [FKLT2] Feldman, J., Knörrer, H., Lehmann, D., Trubowitz, E.: Are There Two Dimensional Fermi Liquids? In: Proceedings of the XIth International Congress of Mathematical Physics, D. Iagolnitzer, (ed.), Cambridge, MA: International Press, 1995, pp. 440-444
5. [FKT1] Feldman, J., Knörrer, H., Trubowitz, E.: A Representation for Fermionic Correlation Functions. Commun. Math. Phys. 195, 465-493 (1998)
6. [FKTf1] Feldman, J., Knörrer, H., Trubowitz, E.: A Two Dimensional Fermi Liquid, Part 1: Overview. Commun. Math. Phys. 247, 1-47 (2004)
7. [FKTf2] Feldman, J., Knörrer, H., Trubowitz, E.; A Two Dimensional Fermi Liquid, Part 2: Convergence. Commun. Math. Phys. 247, 49-111 (2004)
8. [FKTf3] Feldman, J., Knörrer, H., Trubowitz, E.: A Two Dimensional Fermi Liquid, Part 3: The Fermi Surface. Commun. Math. Phys. 247, 113-177 (2004)
9. [FKTffi] Feldman, J., Knörrer, H., Trubowitz, E.: Fermionic Functional Integrals and the Renormalization Group, CRM Monograph Series 16, American Mathematical Society (2002)
10. [FKTo1] Feldman, J., Knörrer, H., Trubowitz, E.: Single Scale Analysis of Many Fermion Systems Part 1: Insulators. Rev. Math. Phys. 15, 949-993 (2003)
11. [FKTo2] Feldman, J., Knörrer, H., Trubowitz, E.: Single Scale Analysis of Many Fermion Systems, Part 2: The First Scale. Rev. Math. Phys. 15, 995-1037 (2003)
12. [FKTo3] Feldman, J., Knörrer, H., Trubowitz, E.: Single Scale Analysis of Many Fermion Systems, Part 3: Sectorized Norms. Rev. Math. Phys. 15, 1039-1120 (2003)
13. [FKTo4] Feldman, J., Knörrer, H., Trubowitz, E.: Single Scale Analysis of Many Fermion Systems, Part 4: Sector Counting. Rev. Math. Phys. 15, 1121-1169 (2003)
14. [FT] Feldman, J., Trubowitz, E.: Perturbation Theory for Many Fermion Systems. Helv. Phys. Acta 63, 156-260 (1990)
15. [PT] Pöschel, J., Trubowitz, E.: Inverse Spectral Theory, New York-London: Academic Press, 1987
16. Salmhofer, M.: Improved Power Counting and Fermi Surface Renormalization. Rev. Math. Phys. 10, 553-578 (1998)
17. [SW] Salmhofer, M., Wieczerkowski, C.: Positivity and Convergence in Fermionic Quantum Field Theory. J. Stat. Phys. 99, 557-586 (2000)