메뉴 건너뛰기




Volumn 37, Issue 32, 2004, Pages 7939-7953

The Hopf algebra of renormalization, normal coordinates and Kontsevich deformation quantization

Author keywords

[No Author keywords available]

Indexed keywords


EID: 4043101126     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/32/008     Document Type: Article
Times cited : (3)

References (24)
  • 1
    • 0035486599 scopus 로고    scopus 로고
    • Noncommutative field theory
    • Preprint hep-th/0106048
    • Douglas M R and Nekrasov N A 2001 Noncommutative field theory Rev, Mod. Phys. 73 977-1029 (Preprint hep-th/0106048)
    • (2001) Rev, Mod. Phys. , vol.73 , pp. 977-1029
    • Douglas, M.R.1    Nekrasov, N.A.2
  • 4
    • 0009804827 scopus 로고
    • Caractères des algèbras de Lie résolubles
    • Duflo M 1969 Caractères des algèbras de Lie résolubles C. R. Acad. Sci., Paris A 269 437-8
    • (1969) C. R. Acad. Sci., Paris A , vol.269 , pp. 437-438
    • Duflo, M.1
  • 5
    • 0001595389 scopus 로고
    • An explicit *-product on the cotangent bundle of a Lie group
    • Gutt S 1983 An explicit *-product on the cotangent bundle of a Lie group Lett. Math. Phys. 7 249-59
    • (1983) Lett. Math. Phys. , vol.7 , pp. 249-259
    • Gutt, S.1
  • 6
    • 0000144487 scopus 로고    scopus 로고
    • Cohomology of good graphs and Kontsevich linear star product
    • Arnal D, Ben Amar N and Masmoudi M 1999 Cohomology of good graphs and Kontsevich linear star product Lett. Math. Phys. 48 291-306
    • (1999) Lett. Math. Phys. , vol.48 , pp. 291-306
    • Arnal, D.1    Ben Amar, N.2    Masmoudi, M.3
  • 8
    • 0034349039 scopus 로고    scopus 로고
    • Kontsevich's universal formula for deformation quantization and the Campbell-Baker-Hausdorff formula
    • Kathotia V 1998 Kontsevich's universal formula for deformation quantization and the Campbell-Baker-Hausdorff formula I Preprint math.qa/9811174 Kathotia V 2000 Kontsevich's universal formula for deformation quantization and the Campbell-Baker-Hausdorff formula Int. J. Math. 11 523-51
    • (2000) Int. J. Math. , vol.11 , pp. 523-551
    • Kathotia, V.1
  • 9
    • 0007334506 scopus 로고    scopus 로고
    • Kontsevich star product on the dual of a Lie algebra
    • Dito G 1999 Kontsevich star product on the dual of a Lie algebra Lett. Math. Phys. 48 307-22
    • (1999) Lett. Math. Phys. , vol.48 , pp. 307-322
    • Dito, G.1
  • 11
    • 4043165526 scopus 로고    scopus 로고
    • Quantization of linear poisson structures and degrees of maps
    • Polyak M 2003 Quantization of linear Poisson structures and degrees of maps Lett. Math. Phys. 66 15-35
    • (2003) Lett. Math. Phys. , vol.66 , pp. 15-35
    • Polyak, M.1
  • 12
    • 33646035766 scopus 로고    scopus 로고
    • On the Hopf algebra structure of perturbative quantum field theories
    • Kreimer D 1998 On the Hopf algebra structure of perturbative quantum field theories Adv. Theor. Math. Phys. 2 303-34
    • (1998) Adv. Theor. Math. Phys. , vol.2 , pp. 303-334
    • Kreimer, D.1
  • 13
    • 0032257297 scopus 로고    scopus 로고
    • Hopf algebras, renormalization and noncommutative geometry
    • Connes A and Kreimer D 1998 Hopf algebras, renormalization and noncommutative geometry Commun. Math. Phys. 199 203-42
    • (1998) Commun. Math. Phys. , vol.199 , pp. 203-242
    • Connes, A.1    Kreimer, D.2
  • 14
    • 0034349865 scopus 로고    scopus 로고
    • Renormalization in quantum field theory and the Riemann-Hilbert problem: 1. The Hopf algebra structure of graphs and the main theorem
    • Connes A and Kreimer D 2000 Renormalization in quantum field theory and the Riemann-Hilbert problem: 1. The Hopf algebra structure of graphs and the main theorem Commun. Math. Phys. 210 249-73
    • (2000) Commun. Math. Phys. , vol.210 , pp. 249-273
    • Connes, A.1    Kreimer, D.2
  • 15
    • 0036108730 scopus 로고    scopus 로고
    • Normal coordinates and primitive elements in the Hopf algebra of renormalization
    • Chryssomalakos C, Quevedo H, Rosenbaum M and Vergara J D 2002 Normal coordinates and primitive elements in the Hopf algebra of renormalization Commun. Math. Phys. 225 465-85
    • (2002) Commun. Math. Phys. , vol.225 , pp. 465-485
    • Chryssomalakos, C.1    Quevedo, H.2    Rosenbaum, M.3    Vergara, J.D.4
  • 18
    • 0036239309 scopus 로고    scopus 로고
    • Combinatorics of (perturbative) quantum field theory
    • Kreimer D 2002 Combinatorics of (perturbative) quantum field theory Phys. Rep. 363 387-424
    • (2002) Phys. Rep. , vol.363 , pp. 387-424
    • Kreimer, D.1
  • 20
    • 0010326045 scopus 로고    scopus 로고
    • The Hopf algebra structure of Connes and Kreimer in Epstein-Glaser renormalization
    • Pinter G 2000 The Hopf algebra structure of Connes and Kreimer in Epstein-Glaser renormalization Lett. Math. Phys. 54 227-33
    • (2000) Lett. Math. Phys. , vol.54 , pp. 227-233
    • Pinter, G.1
  • 21
    • 0037097927 scopus 로고    scopus 로고
    • Star products and perturbative quantum field theory
    • Hirshfeld A C and Henselder P 2002 Star products and perturbative quantum field theory Ann. Phys., NY 298 382-93
    • (2002) Ann. Phys., NY , vol.298 , pp. 382-393
    • Hirshfeld, A.C.1    Henselder, P.2
  • 22
    • 0345015414 scopus 로고    scopus 로고
    • Star products and quantum groups in quantum mechanics and field theory
    • Hirshfeld A C and Henselder P 2003 Star products and quantum groups in quantum mechanics and field theory Ann. Phys., NY 308 311-28
    • (2003) Ann. Phys., NY , vol.308 , pp. 311-328
    • Hirshfeld, A.C.1    Henselder, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.