Convergence of perturbation expansions in fermionic models. Part 2: Overlapping loops

Communications in Mathematical Physics

Volumn 247, Issue 1, 2004, Pages 243-319

  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: 2542591064     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-004-1040-8     Document Type: Article

References (11)

1. [BS] Berezin, F., Shubin, M.: The SchrödingerEquation, Dordrecht: Kluwer, 1991
2. [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
3. [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
4. [FKT1] Feldman, J., Knörrer, H., Trubowitz, E.: A Representation for Fermionic Correlation Functions. Commun. Math. Phys. 195, 465-493 (1998)
5. [FKTf1] Feldman, J., Knörrer, H., Trubowitz, E.: A Two Dimensional Fermi Liquid, Part 1: Overview. Commun. Math. Phys. 247, 1-47 (2004)
6. [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)
7. [FMRT] Feldman, J., Magnen, J., Rivasseau, V., Trubowitz, E.: An Infinite Volume Expansion for Many Fermion Green's Functions. Helv. Phys. Acta 65, 679-721 (1992)
8. [FST1] Feldman, J., Salmhofer, M., Trubowitz, E.: Perturbation Theory around Non-nested Fermi Surfaces, I: Keeping the Fermi Surface Fixed. J. Stat. Phys. 84, 1209-1336 (1996)
9. [FST2] Feldman, J., Salmhofer, M., Trubowitz, E.: Regularity of the Moving Fermi Surface: RPA Contributions. Commun. Pure and Appl. Math. LI, 1133-1246 (1998)
10. [FST3] Feldman, J., Salmhofer, M., Trubowitz, E.: Regularity of Interacting Nonspherical Fermi Surfaces: The Full Self-Energy. Commun. Pure and Appl. Math. LII, 273-324 (1999)
11. [FST4] Feldman, J., Salmhofer, M., Trubowitz, E.: An inversion theorem in Fermi surface theory. Commun. Pure and Appl. Math. LIII, 1350-1384 (2000)