Counting planar diagrams with various restrictions

Nuclear Physics B

Volumn 538, Issue 1-2, 1999, Pages 389-410

  'T Hooft, Gerard ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

1 N expansion; Divergence free self consistent renormalization; Irreducible vertex insertions; Planar diagrams; Tadpole diagrams; Zero dimensional field theory

Indexed keywords

EID: 0033545138     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00697-X     Document Type: Article

References (10)

1. [1] G. 't Hooft, Nucl. Phys. B 72 (1974) 461; B 75 (1974) 461.
2. [1] G. 't Hooft, Nucl. Phys. B 72 (1974) 461; B 75 (1974) 461.
3. [2] H.B. Nielsen and P. Olesen, Phys. Lett. B 32 (1970) 203; B. Sakita and M.A. Virasoro, Phys. Rev. Lett. 24 (1970) 1146; H. Bohr and H.B. Nielsen, Nucl. Phys. B 227 (1983) 547.
4. [2] H.B. Nielsen and P. Olesen, Phys. Lett. B 32 (1970) 203; B. Sakita and M.A. Virasoro, Phys. Rev. Lett. 24 (1970) 1146; H. Bohr and H.B. Nielsen, Nucl. Phys. B 227 (1983) 547.
5. [2] H.B. Nielsen and P. Olesen, Phys. Lett. B 32 (1970) 203; B. Sakita and M.A. Virasoro, Phys. Rev. Lett. 24 (1970) 1146; H. Bohr and H.B. Nielsen, Nucl. Phys. B 227 (1983) 547.
6. [3] J. Koplik, A. Neveu and S. Nussinov, Nucl. Phys. B 123 (1977) 109.
7. [4] W.T. Tutte, Can. J. Math. 14 (1962) 21.
8. [5] E. Brézin, C. Itzykson, G. Parisi and J.B. Zuber, Commun. Math. Phys. 59 (1978) 35.
9. [6] G. 't Hooft, Commun. Math. Phys. 88 (1983) 1; Planar diagram field theories, in Progress in Gauge Field Theory, NATO Adv. Study Inst. Series, ed. G. 't Hooft et al. (Plenum, New York, 1984) p. 271.
10. [6] G. 't Hooft, Commun. Math. Phys. 88 (1983) 1; Planar diagram field theories, in Progress in Gauge Field Theory, NATO Adv. Study Inst. Series, ed. G. 't Hooft et al. (Plenum, New York, 1984) p. 271.