Chord diagrams and BPHZ subtractions

Modern Physics Letters A

Volumn 11, Issue 13, 1996, Pages 1095-1105

  Tsohantjis, Ioannis ^a   Kalloniatis, Alex C ^a,b   Jarvis, Peter D ^a   Thompson, George ^a,c  

^a UNIVERSITY OF TASMANIA   (Australia)

^b UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^c ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1542420239     PISSN: 02177323     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217732396001120     Document Type: Article

References (13)

1. D. Kreimer, Phys. Lett. B354, 117 (1995).
2. D. Kreimer, "Renormalization and knot theory", preprint UTAS-PHYS-94-25 (hepth/9412045), to appear in J. Knot Theory Ramifications.
3. D. Kreimer, "Feynman diagram calculations - From finite integral representations to knotted infinities", in Proc. IAHENP '95 Conference (Pisa 1995), New Computing Techniques in Physics Research IV, eds. B. Denby and D. Perret-Gallix (World Scientific, 1995).
4. D. J. Broadhurst and D. Kreimer, "Knots and numbers in φ theory to 7 loops and beyond", Int. J. Mod. Phys. C6, 519 (1995).
5. M. Alvarez and J. M. F. Lambastida, Nucl. Phys. B433, 555 (1995).
6. D. Bar-Natan, Topology 34, 423 (1995).
7. J. S. Birman, Bull. (New Series) Amer. Math. Soc. 28, 253 (1993).
8. See for example C. Itzykson and J.-B. Zuber, Quantum Field Theory (McGraw-Hill, 1980), Chap. 8.
9. L. H. Kauffman, Knots and Physics (World Scientific, 1991).
10. D. J. Broadhurst, R. Delbourgo and D. Kreimer, "Unknotting the polarized vacuum of quenched QED", preprint OUT-4102-60, UTAS-PHYS-95-40, MZ-TH/95-22 (hepph/9509296).
11. V. G. Turaev, "Conway and Kauffman modules of a solid torus", Zap. Nauch Sem LOMI 167, 79 (1988), (English translation: J. Sov. Math.).
12. V. G. Turaev, Ann. Sci. Éc. Norm Sup. 24, 635 (1991).
13. R. B. Zhang and A. L. Carey, "Quantum groups at odd roots of unity and topological invariants of three-manifolds", preprint, Dept. of Pure Mathematics, University of Adelaide (1995).