Continuous renormalization for fermions and fermi liquid theory

Communications in Mathematical Physics

Volumn 194, Issue 2, 1998, Pages 249-295

  Salmhofer, Manfred ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032094612     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050358     Document Type: Article

References (41)

1. Wegner, F.: In: Phase Transitions and Critical Phenomena vol. 6, edited by C. Domb and M. Green, London-NewYirk, Academic Press
2. Wilson, K., Kogut, J.: Phys. Reports 12, 75 (1974)
3. Polchinski, J.: Nucl. Phys. B 231, 269 (1984)
4. Wieczerkowski, C.: Commun. Math. Phys. 120, 149 (1988)
5. Keller, G., Kopper, C., Salmhofer, M.: Helv. Phys. Acta 65, 32 (1992)
6. Keller, G., Kopper, C.: Commun. Math. Phys. 148, 445 (1992); Phys. Lett. B273, 323 (1991)
7. Keller, G., Kopper, C.: Commun. Math. Phys. 148, 445 (1992); Phys. Lett. B273, 323 (1991)
8. Keller, G.: Commun. Math. Phys. 161, 311 (1994)
9. Gallavotti, G.: Rev. Mod. Phys. 57, 471 (1985)
10. Gallavotti, G. and Nicolò, F.: Commun. Math. Phys. 100, 545 (1985) and 101, 247 (1985)
11. Gallavotti, G. and Nicolò, F.: Commun. Math. Phys. 100, 545 (1985) and 101, 247 (1985)
12. Feldman, J., Hurd, T., Rosen, L., Wright, J.: QED: A Proof of Renormalizability. Springer Lecture Notes in Physics 312, Berlin-Heidelberg-New York: Springer-Verlag, 1988
13. Brydges, D.C., Yau, H.-T.: Commun. Math. Phys. 129, 351 (1990)
14. Brydges, D.C., Dimock, J., Hurd, T.: Commun. Math. Phys. 172, 143 (1995); mp-arc 96-538, mp-arc 96-681, and references therein
15. Salmhofer, M.: Fermionic sign cancellations in the continuous renormalization group equation. Phys. Lett. 408 B, 245 (1997)
16. Gawedzki, K. and Kupiainen, A.: Commun. Math. Phys. 102, 1 (1985)
17. Feldman, J., Magnen, J., Rivasseau, V. and Sénéor, R.: Commun. Math. Phys. 103, 67 (1986)
18. Benfatto, G., Gallavotti, G.: J. Stat. Phys. 59, 541 (1990)
19. Benfatto, G., Gallavotti, G., Procacci, A., Scoppola, B.: Commun. Math. Phys. 160, 93 (1994)
20. Bonetto, F., Mastropietro, V.: Commun. Math. Phys. 172, 57 (1995)
21. Feldman, J. and Trubowitz, E.: Helv. Phys. Acta 63, 157 (1990), ibid. 64, 213 (1991)
22. Feldman, J. and Trubowitz, E.: Helv. Phys. Acta 63, 157 (1990), ibid. 64, 213 (1991)
23. Feldman, J., Magnen, J., Rivasseau, V. and Trubowitz, E.: Helv. Phys. Acta 65, 679 (1992)
24. Feldman, J., Salmhofer, M. and Trubowitz, E.: J. Stat. Phys. 84, 1209 (1996)
25. Feldman, J., Salmhofer, M. and Trubowitz, E.: Regularity of the Moving Fermi Surface: RPA Contributions. To appear in Commun. Pure Appl. Math.
26. Feldman, J., Salmhofer, M. and Trubowitz, E.: Regularity of the Moving Fermi Surface: The Full Self-energy. To appear in Commun. Pure Appl. Math.
27. Salmhofer, M.: Improved Power Counting and Fermi Surface Renormalization. Rev. Math. Phys. 10 (1998)
28. Feldman, J., Knörrer, H., Lehmann, D., Trubowitz, E.: In: Constructive Physics, V. Rivasseau (ed.), Springer Lecture Notes in Physics, 1995
29. Magnen, J., Rivasseau, V.: Mathematical Physics Electronic Journal 1, No. 3 (1995)
30. I thank Walter Metzner for pointing this out to me
31. Feldman, J., Knörrer, H. and Trubowitz, E.: To appear in Commun. Math. Phys.
32. Bratteli, O., Robinson, D.: Operator Algebras and Quantum Statistical Mechanics. Berlin-Heidelberg-New York: Springer, 1979
33. Berezin, F.A.: The Method of Second Quantization. New York: Academic Press, 1966
34. Brydges, D.C. and Munoz Maya, I.: Journal of Theoretical Probability 4, 371 (1991)
35. Lüscher, M.: Commun. Math. Phys. 54, 283 (1976)
36. Brydges, D.C. and Wright, J.: J. Stat. Phys. 51, 435 (1988)
37. Kohn, W. and Luttinger, J.M.: Phys. Rev. Lett. 15, 524 (1965)
38. Feldman, J., Knörrer, H., Sinclair, R. and Trubowitz, E.: Helv. Phys. Acta 70, 154 (1997)
39. Fetter, A.L. and Walecka, J.D.: Quantum Theory of Many-Particle Systems. New York: McGraw-Hill, 1971
40. Beckenbach, E.F., Bellman, R.: Inequalities. Berlin-Heidelberg-New York: Springer, 1961
41. Vignale, G. et al.: Phys. Rev. B 39, 2956 (1989); Langmann, E., Salmhofer, M., Wallin, M.: Unpublished