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Volumn 259, Issue 2, 2005, Pages 413-432

The structure of the ladder insertion-elimination lie algebra

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EID: 24144498478     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-005-1340-7     Document Type: Article
Times cited : (8)

References (17)
  • 3
    • 0002912762 scopus 로고    scopus 로고
    • Exact solutions of Dyson-Schwinger equations for iterated one-loop integrals and propagator-coupling duality
    • Broadhurst, D.J., Kreimer, D.: Exact solutions of Dyson-Schwinger equations for iterated one-loop integrals and propagator-coupling duality. Nucl. Phys. B 600, 403 (2001)
    • (2001) Nucl. Phys. B , vol.600 , pp. 403
    • Broadhurst, D.J.1    Kreimer, D.2
  • 4
    • 0034349865 scopus 로고    scopus 로고
    • Renormalization in quantum field theory and the Riemann Hilbert problem. I. The Hopf algebra structure of graphs and the main theorem
    • Connes, A., Kreimer, D.: Renormalization in quantum field theory and the Riemann Hilbert problem. I. The Hopf algebra structure of graphs and the main theorem. Commun. Math. Phys. 210(1), 249-273 (2000)
    • (2000) Commun. Math. Phys. , vol.210 , Issue.1 , pp. 249-273
    • Connes, A.1    Kreimer, D.2
  • 5
    • 0035530562 scopus 로고    scopus 로고
    • Renormalization in quantum field theory and the Riemann Hilbert problem. II. The β-function, diffeomorphism and the renormalization group
    • Connes, A., Kreimer, D.: Renormalization in quantum field theory and the Riemann Hilbert problem. II. The β-function, diffeomorphism and the renormalization group. Commun. Math. Phys. 216(1), 215-241 (2001)
    • (2001) Commun. Math. Phys. , vol.216 , Issue.1 , pp. 215-241
    • Connes, A.1    Kreimer, D.2
  • 6
    • 0036436361 scopus 로고    scopus 로고
    • Insertion and Elimination: The doubly infinite Lie algebra of Feynmann graphs
    • Connes, A., Kreimer, D.: Insertion and Elimination: the doubly infinite Lie algebra of Feynmann graphs. Ann. Henri Poincare 3(3), 411-433 (2002)
    • (2002) Ann. Henri Poincare , vol.3 , Issue.3 , pp. 411-433
    • Connes, A.1    Kreimer, D.2
  • 8
    • 24144490857 scopus 로고
    • Les Houches, Amsterdam: North Holland Publishing
    • Gross, D.: In: Methods in QFT, Les Houches 1975, Amsterdam: North Holland Publishing, 1976
    • (1975) Methods in QFT
    • Gross, D.1
  • 9
    • 33646035766 scopus 로고    scopus 로고
    • On the Hopf algebra structure of perturbative quantum field theory
    • Kreimer, D.: On the Hopf algebra structure of perturbative quantum field theory. Adv. Theor. Math. Phys. 2(2), 303-334 (1998)
    • (1998) Adv. Theor. Math. Phys. , vol.2 , Issue.2 , pp. 303-334
    • Kreimer, D.1
  • 10
    • 0037265094 scopus 로고    scopus 로고
    • New mathematical structures in renormalizable quantum field theories
    • [Erratum-ibid. 305, 79 (2003)], hep-th/0211136
    • Kreimer, D.: New mathematical structures in renormalizable quantum field theories. Annals Phys. 303, 179 (2003); [Erratum-ibid. 305, 79 (2003)], hep-th/0211136
    • (2003) Annals Phys. , vol.303 , pp. 179
    • Kreimer, D.1
  • 11
    • 85036702302 scopus 로고    scopus 로고
    • Factorization in quantum field theory: An exercise in Hopf algebras and local singularities
    • France, March hep-th/0306020
    • Kreimer, D.: Factorization in quantum field theory: An exercise in Hopf algebras and local singularities. Les Houches Frontiers in Number Theory, Physics and Geometry, France, March 2003, hep-th/0306020
    • (2003) Les Houches Frontiers in Number Theory, Physics and Geometry
    • Kreimer, D.1
  • 13
    • 5444243867 scopus 로고    scopus 로고
    • What is the trouble with Dyson-Schwinger equations?
    • Kreimer, D.: What is the trouble with Dyson-Schwinger equations?. Nucl.Phys. Proc. Suppl. 135, 238-242 (2004)
    • (2004) Nucl.Phys. Proc. Suppl. , vol.135 , pp. 238-242
    • Kreimer, D.1
  • 14
    • 0001197470 scopus 로고
    • Conformal-invariant green functions without ultraviolet divergences
    • Mack, G., Todorov, I.T.: Conformal-Invariant Green Functions without Ultraviolet Divergences. Phy. Rev. D8, 1764 (1973)
    • (1973) Phy. Rev. , vol.D8 , pp. 1764
    • Mack, G.1    Todorov, I.T.2
  • 15
    • 3943081339 scopus 로고    scopus 로고
    • Insertion-elimination lie algebra: The Ladder case
    • Mencattini, I., Kreimer, D.: Insertion-Elimination Lie algebra: the Ladder case. Lett. Math. Phys. 64, (2004) 61-74
    • (2004) Lett. Math. Phys. , vol.64 , pp. 61-74
    • Mencattini, I.1    Kreimer, D.2
  • 16
    • 0037192737 scopus 로고    scopus 로고
    • Four dimensional CFT models with rational correlation functions
    • Nikolov, N.M., Stanev, Ya.S., Todorov, I.T.: Four Dimensional CFT Models with Rational Correlation Functions. J. Phys. A 35(12), 2985-3007 (2002)
    • (2002) J. Phys. A , vol.35 , Issue.12 , pp. 2985-3007
    • Nikolov, N.M.1    Stanev, Ya.S.2    Todorov, I.T.3
  • 17
    • 0003646906 scopus 로고
    • Cambridge Studies in Advanced Mathematics, 38. Cambridge University Press, Cambridge
    • Weibel, C.: Introduction to Homological Algebra. Cambridge Studies in Advanced Mathematics, 38. Cambridge University Press, Cambridge, 1994
    • (1994) Introduction to Homological Algebra.
    • Weibel, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.