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Volumn 217, Issue 3, 2013, Pages 449-469

A nondiagrammatic description of the Connes-Kreimer Hopf algebra

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EID: 84867015238     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jpaa.2012.06.027     Document Type: Article
Times cited : (2)

References (11)
  • 1
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    • Über die Multiplikation der Kausalfunktionen in der Quantentheorie der Felder
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    • (1957) (German) Acta Math. , vol.97 , pp. 227-266
    • Bogoliubow, N.N.1    Parasiuk, O.S.2
  • 2
    • 0003362465 scopus 로고
    • Renormalization
    • Cambridge University Press, Cambridge, An Introduction to Renormalization, the Renormalization Group, and the Operator-product Expansion
    • Collins J.C. Renormalization. Cambridge Monographs on Mathematical Physics 1984, Cambridge University Press, Cambridge.
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    • Collins, J.C.1
  • 3
    • 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. Comm. Math. Phys. 2000, 210(1):249-273.
    • (2000) Comm. Math. Phys. , vol.210 , Issue.1 , pp. 249-273
    • Connes, A.1    Kreimer, D.2
  • 4
    • 0036436361 scopus 로고    scopus 로고
    • Insertion and elimination: the doubly infinite Lie algebra of Feynman graphs
    • Connes A., Kreimer D. Insertion and elimination: the doubly infinite Lie algebra of Feynman graphs. Ann. Henri Poincaré 2002, 3(3):411-433.
    • (2002) Ann. Henri Poincaré , vol.3 , Issue.3 , pp. 411-433
    • Connes, A.1    Kreimer, D.2
  • 6
    • 38249025073 scopus 로고
    • Hopf-algebraic structure of families of trees
    • Grossman R., Larson R.G. Hopf-algebraic structure of families of trees. J. Algebra 1989, 126(1):184-210.
    • (1989) J. Algebra , vol.126 , Issue.1 , pp. 184-210
    • Grossman, R.1    Larson, R.G.2
  • 7
    • 0001466639 scopus 로고
    • Proof of the Bogoliubov-Parasiuk theorem on renormalization
    • Hepp K. Proof of the Bogoliubov-Parasiuk theorem on renormalization. Comm. Math. Phys. 1966, 2(1):301-326.
    • (1966) Comm. Math. Phys. , vol.2 , Issue.1 , pp. 301-326
    • Hepp, K.1
  • 8
    • 0000695814 scopus 로고
    • Formal noncommutative symplectic geometry
    • Birkhäuser Boston, Boston, MA
    • Kontsevich M. Formal noncommutative symplectic geometry. The Gelfand Mathematical Seminars 1993, 173-187. Birkhäuser Boston, Boston, MA.
    • (1993) The Gelfand Mathematical Seminars , pp. 173-187
    • Kontsevich, M.1
  • 10
    • 0000859132 scopus 로고
    • On the structure of Hopf algebras
    • Milnor J.W., Moore J.C. On the structure of Hopf algebras. Ann. of Math. (2) 1965, 81:211-264.
    • (1965) Ann. of Math. (2) , vol.81 , pp. 211-264
    • Milnor, J.W.1    Moore, J.C.2
  • 11
    • 0001447372 scopus 로고
    • Convergence of Bogoliubov's method of renormalization in momentum space
    • Zimmermann W. Convergence of Bogoliubov's method of renormalization in momentum space. Comm. Math. Phys. 1969, 15:208-234.
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    • Zimmermann, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.