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Volumn 54, Issue 3, 2000, Pages 227-233

The Hopf algebra structure of Connes and Kreimer in Epstein-Glaser renormalization

Author keywords

Field theory algebra; Hopf perturbation theory; Renormalization

Indexed keywords


EID: 0010326045     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1010851025400     Document Type: Article
Times cited : (19)

References (12)
  • 2
    • 2942709591 scopus 로고    scopus 로고
    • 4
    • S. Doplicher, R. Longo, J. R. Roberts and L. Zsido (eds), Roma International Press
    • 4, In: S. Doplicher, R. Longo, J. R. Roberts and L. Zsido (eds), Operator Algebras and Quantum Field Theory, Proc., Roma 1996, International Press 1997; Brunetti, R. and Fredenhagen, K.: Microlocal analysis and interacting quantum field theories: renormalization on physical backgrounds, math-ph/9903028.
    • (1996) Operator Algebras and Quantum Field Theory, Proc.
    • Brunetti, R.1    Fredenhagen, K.2
  • 4
    • 0032257297 scopus 로고    scopus 로고
    • Hopf algebras, renormalization and noncommutative geometry
    • hep-th/9808042
    • Connes, A. and Kreimer, D.: Hopf algebras, renormalization and noncommutative geometry, Comm. Math. Phys. 199 (1998), 203; hep-th/9808042.
    • (1998) Comm. Math. Phys. , vol.199 , pp. 203
    • Connes, A.1    Kreimer, D.2
  • 5
    • 0034349865 scopus 로고    scopus 로고
    • Renormalizationin quantum field theory and the Riemann-Hilbert problem I: The Hopf algebra structure of graphs and the main theorem, II: The β-function, diffeomorphisms and the renormalization group
    • hep-th/9912092 and hep-th/0003188
    • Connes, A. and Kreimer, D.: Renormalizationin quantum field theory and the Riemann-Hilbert problem I: the Hopf algebra structure of graphs and the main theorem, II: the β-function, diffeomorphisms and the renormalization group, Comm. Math. Phys. 210 (2000), 249; hep-th/9912092 and hep-th/0003188.
    • (2000) Comm. Math. Phys. , vol.210 , pp. 249
    • Connes, A.1    Kreimer, D.2
  • 7
    • 33646035766 scopus 로고    scopus 로고
    • On the Hopf algebra structure of perturbative quantum field theories
    • q-alg/9707029
    • Kreimer, D. : On the Hopf algebra structure of perturbative quantum field theories, Adv. Theoret. Math. Phys. 2 (1998), 303; q-alg/9707029.
    • (1998) Adv. Theoret. Math. Phys. , vol.2 , pp. 303
    • Kreimer, D.1
  • 12
    • 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. 15 (1969), 208.
    • (1969) Comm. Math. Phys. , vol.15 , pp. 208
    • Zimmermann, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.