Continuous Constructive Fermionic Renormalization

Annales Henri Poincare

Volumn 1, Issue 1, 2000, Pages 1-57

  Disertori, M ^a   Rivasseau, V ^a  

^a CENTRE DE PHYSIQUE THÉORIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034417917     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00000998     Document Type: Article

References (16)

1. A. Abdesselam and V. Rivasseau, Trees, forests and jungles: a botanical garden for cluster expansions, in Constructive Physics, ed by V. Rivasseau, Lecture Notes in Physics 446, Springer Verlag, 1995.
2. A. Abdesselam and V. Rivasseau, Explicit Fermionic Cluster Expansion, preprint: cond-mat/9712055.
3. F. Bonetto, V. Mastropietro, Beta Function and Anomaly of the Fermi Surface for a d=1 system of interacting fermions in a periodic potential, Commun. Math. Phys. 172, 57-93 (1995).
4. P. Contucci, Ph. D. Thesis.
5. 4, Commun. Math. Phys. 82, 69 (1981).
6. J. Feldman, J. Magnen, V. Rivasseau and R. Sénéor, A renormalizable field theory: the massive Gross-Neveu model in two dimensions, Commun. Math. Phys. 103, 67 (1986).
7. G. Gallavotti, Renormalization Theory and ultraviolet stability for scalar fields via renormalization group methods, Rev Mod. Phys. 57, 471 (1985).
8. K. Gawedzki and A. Kupiainen, Commun. Math. Phys. 102, 1 (1985).
9. D. Gross and A. Neveu, Dynamical Symmetry breaking in asymptotically free field theories, Phys. Rev. D10, 3235 (1974).
10. G. Keller, Ch. Kopper and M. Salmhofer, Helv. Phys. Acta 65 32 (1991).
11. C. Kopper, J. Magnen and V. Rivasseau, Mass Generation in the Large N Gross-Neveu Model, Commun. Math. Phys. 169, 121 (1995).
12. P.K. Mitter and P.H. Weisz, Asymptotic scale invariance in a massive Thirring model with U(n) symmetry, Phys. Rev. D8. 4410 (1973).
13. J. Polchinski, Nucl. Phys. B 231, 269 (1984).
14. V. Rivasseau, From perturbative to constructive renormalization, Princeton University Press (1991).
15. M. Salmhofer, Continuous renormalization for Fermions and Fermi liquid theory, ETH preprint, cond-mat/9706188.
16. W. Wetzel, Two-loop β-function for the Gross-Neveu model, Phys. Lett. 153B, 297 (1985).