Explicit Fermionic Tree Expansions

Letters in Mathematical Physics

Volumn 44, Issue 1, 1998, Pages 77-88

  Abdesselam, A ^a,b   Rivasseau, V ^a  

^a CENTRE DE PHYSIQUE THÉORIQUE   (France)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Fermion systems; Grassmann integrals; Perturbation theory; Tree formulas

Indexed keywords

EID: 0002599533     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007413417112     Document Type: Article

References (10)

1. Abdesselam, A. and Rivasseau, V.: Trees, forests and jungles: a botanical garden for cluster expansions, in: Constructive Physics, Lecture Notes in Phys. 446, Springer-Verlag, New York, 1995.
2. Abdesselam, A. and Rivasseau, V.: An explicit large versus small field multiscale cluster expansion, Rev. Math. Phys. 9(2), (1997), 123 (and references therein).
3. Brydges, D.: Weak perturbations of the massless gaussian measure, in: Constructive Physics, Lecture Notes in Phys. 446, Springer-Verlag, New York, 1995 (and references therein).
4. Brydges, D. and Kennedy, T.: Mayer expansions and the Hamilton-Jacobi equation, J. Stat. Phys. 48 (1978) 19 2064.
5. Disertori, M. and Rivasseau, V.: hep-th/9802145.
6. Feldman, J., Knörrer, H. and Trubowitz, E.: A representation for fermionic correlation functions, ETH-Zürich preprint, June 1997.
7. Feldman, J., Lehmann, D., Knörrer, H. and Trubowitz, E.: Fermi liquids in two space dimensions, in: Constructive Physics, Lecture Notes in Phys. 446, Springer-Verlag, New York, 1995.
8. Feldman, J. Magnen, V. Rivasseau and E. Trubowitz, An infinite volume expansion for many fermion green's functions, Helv. Phys. Acta 65 (1992), 679.
9. Iagolnitzer, D. and Magnen, J.: Asymptotic completeness and multiparticle structure in field theories, II, Theories with renormalization, Comm. Math. Phys. 111 (1987), 81.
10. Salmhofer, M.: Continuous renormalization for fermions and Fermi liquid theory, cond-mat/9706188.