메뉴 건너뛰기




Volumn 42, Issue 10, 2001, Pages 4779-4801

Anomalies and Schwinger terms in NCG field theory models

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035537072     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1385174     Document Type: Article
Times cited : (10)

References (30)
  • 1
    • 4243981140 scopus 로고
    • Field theory commutators
    • 0→γγ in the sigma model," Nuovo Cimento 60A, 47-61 (1969).
    • (1959) Phys. Rev. Lett. , vol.3 , pp. 296-297
    • Schwinger, J.1
  • 2
    • 33744720554 scopus 로고
    • Axial vertex in spinor electrodynamics
    • 0→γγ in the sigma model," Nuovo Cimento 60A, 47-61 (1969).
    • (1969) Phys. Rev. , vol.177 , pp. 2426-2438
    • Adler, S.1
  • 3
    • 51249188328 scopus 로고
    • 0→γγ in the sigma model
    • 0→γγ in the sigma model," Nuovo Cimento 60A, 47-61 (1969).
    • (1969) Nuovo Cimento , vol.60 A , pp. 47-61
    • Bell, J.1    Jackiw, R.2
  • 4
    • 0347085112 scopus 로고
    • Chiral anomalies in even and odd dimensions
    • J. Mickelsson, "Chiral anomalies in even and odd dimensions," Commun. Math. Phys. 97, 361-370 (1985); L. D. Faddeev and S. Shatashvili, "Algebraic and Hamiltonian methods in the theory of non-abelian anomalies," Theor. Math. Phys. 60, 770-778 (1985).
    • (1985) Commun. Math. Phys. , vol.97 , pp. 361-370
    • Mickelsson, J.1
  • 5
    • 29744437456 scopus 로고
    • Algebraic and Hamiltonian methods in the theory of non-abelian anomalies
    • J. Mickelsson, "Chiral anomalies in even and odd dimensions," Commun. Math. Phys. 97, 361-370 (1985); L. D. Faddeev and S. Shatashvili, "Algebraic and Hamiltonian methods in the theory of non-abelian anomalies," Theor. Math. Phys. 60, 770-778 (1985).
    • (1985) Theor. Math. Phys. , vol.60 , pp. 770-778
    • Faddeev, L.D.1    Shatashvili, S.2
  • 6
    • 4243648786 scopus 로고
    • Path integral for gauge theories with fermions
    • K. Fujikawa, "Path integral for gauge theories with fermions," Phys. Rev. D 21, 2848-2858 (1980); M. F. Atiyah and I. Singer, "Dirac operators coupled to vector potentials," Proc. Natl. Acad. Sci. U.S.A. 81, 2597-2600 (1984).
    • (1980) Phys. Rev. D , vol.21 , pp. 2848-2858
    • Fujikawa, K.1
  • 7
    • 4243648786 scopus 로고
    • Dirac operators coupled to vector potentials
    • K. Fujikawa, "Path integral for gauge theories with fermions," Phys. Rev. D 21, 2848-2858 (1980); M. F. Atiyah and I. Singer, "Dirac operators coupled to vector potentials," Proc. Natl. Acad. Sci. U.S.A. 81, 2597-2600 (1984).
    • (1984) Proc. Natl. Acad. Sci. U.S.A. , vol.81 , pp. 2597-2600
    • Atiyah, M.F.1    Singer, I.2
  • 8
    • 0000907877 scopus 로고    scopus 로고
    • On the ultraviolet behavior of quantum fields over noncommutative manifolds
    • J. M. Gracia-Bondia and J. C. Varilly, "On the ultraviolet behavior of quantum fields over noncommutative manifolds," Int. J. Mod. Phys. A 14, 1305-1323 (1999).
    • (1999) Int. J. Mod. Phys. A , vol.14 , pp. 1305-1323
    • Gracia-Bondia, J.M.1    Varilly, J.C.2
  • 11
    • 0031161675 scopus 로고    scopus 로고
    • Descent equations of Yang-Mills anomalies in noncommutative geometry
    • E. Langmann, "Descent equations of Yang-Mills anomalies in noncommutative geometry," J. Geom. Phys. 22, 259-279 (1997).
    • (1997) J. Geom. Phys. , vol.22 , pp. 259-279
    • Langmann, E.1
  • 14
    • 0007197512 scopus 로고
    • Wodzicki residue and anomalies of current algebras
    • lntegrable Models and Strings. Springer-Verlag, Berlin
    • J. Mickelsson, "Wodzicki residue and anomalies of current algebras," in lntegrable Models and Strings. Lecture Notes in Physics, Vol. 436 (Springer-Verlag, Berlin, 1994), pp. 123-135.
    • (1994) Lecture Notes in Physics , vol.436 , pp. 123-135
    • Mickelsson, J.1
  • 15
    • 0002555832 scopus 로고    scopus 로고
    • Elementary derivation of the chiral anomaly
    • E. Langmann and J. Mickelsson, "Elementary derivation of the chiral anomaly," Lett. Math. Phys. 36, 45-54 (1996).
    • (1996) Lett. Math. Phys. , vol.36 , pp. 45-54
    • Langmann, E.1    Mickelsson, J.2
  • 17
    • 0004151496 scopus 로고    scopus 로고
    • Graduate Texts in Mathematics (Springer-Verlag, New York)
    • R. Bhatia, Matrix Analysis, Graduate Texts in Mathematics (Springer-Verlag, New York, 1997), Vol. 169.
    • (1997) Matrix Analysis , vol.169
    • Bhatia, R.1
  • 18
    • 0001921329 scopus 로고
    • Bogoliubov automorphisms and fock representations of the algebra of canonical anticommutation relations
    • H. Araki, "Bogoliubov automorphisms and Fock representations of the algebra of canonical anticommutation relations," Contemp. Math. 62, 23-141 (1987).
    • (1987) Contemp. Math. , vol.62 , pp. 23-141
    • Araki, H.1
  • 19
    • 0003258199 scopus 로고
    • Chiral anomalies and differential geometry
    • Les Houches. notes prepared by K. Sibold (North-Holland, Amsterdam)
    • B. Zumino, "Chiral anomalies and differential geometry," Relativity, Groups, and Topology, II, Les Houches 1983. notes prepared by K. Sibold (North-Holland, Amsterdam, 1984), pp. 1291-1322.
    • (1983) Relativity, Groups, and Topology , vol.2 , pp. 1291-1322
    • Zumino, B.1
  • 20
    • 0000087215 scopus 로고
    • Quasi-free 'second quantization'
    • L.-E. Lundberg, "Quasi-free 'second quantization'," Commun. Math. Phys. 50, 103-112 (1976).
    • (1976) Commun. Math. Phys. , vol.50 , pp. 103-112
    • Lundberg, L.-E.1
  • 22
    • 0000489416 scopus 로고
    • On the homotopy type of certain groups of operators
    • R. Palais, "On the homotopy type of certain groups of operators," Topology 3, 271-279 (1965).
    • (1965) Topology , vol.3 , pp. 271-279
    • Palais, R.1
  • 23
    • 0001395815 scopus 로고
    • Champs continus d'espaces hilbertiens et de C*-algèbres
    • J. Dixmier and A. Douady, "Champs continus d'espaces hilbertiens et de C*-algèbres," Bull. Soc. Math. Fr. 91, 227-284 (1963).
    • (1963) Bull. Soc. Math. Fr. , vol.91 , pp. 227-284
    • Dixmier, J.1    Douady, A.2
  • 24
    • 0007321420 scopus 로고    scopus 로고
    • A gerbe obstruction to quantization of fermions on odd-dimensional manifolds with boundary
    • A. Carey and J. Mickelsson, "A gerbe obstruction to quantization of fermions on odd-dimensional manifolds with boundary," Lett. Math. Phys. 51, 145-160 (2000).
    • (2000) Lett. Math. Phys. , vol.51 , pp. 145-160
    • Carey, A.1    Mickelsson, J.2
  • 25
    • 21844498355 scopus 로고
    • Noncommutative integration calculus
    • E. Langmann, "Noncommutative integration calculus," J. Math. Phys. 36, 3822-3825 (1995).
    • (1995) J. Math. Phys. , vol.36 , pp. 3822-3825
    • Langmann, E.1
  • 26
    • 0000913066 scopus 로고
    • Kac-Moody groups, topology of the Dirac determinant bundle, and fermionrzation
    • J. Mickelsson, "Kac-Moody groups, topology of the Dirac determinant bundle, and fermionrzation," Commun. Math. Phys. 110, 173-183 (1987).
    • (1987) Commun. Math. Phys. , vol.110 , pp. 173-183
    • Mickelsson, J.1
  • 27
    • 0001343595 scopus 로고
    • Noncommutative tori - A case study of noncomnmative differentiable manifolds
    • M. Rieffel, "Noncommutative tori - a case study of noncomnmative differentiable manifolds," Contemp. Math. 105, 191-211 (1990).
    • (1990) Contemp. Math. , vol.105 , pp. 191-211
    • Rieffel, M.1
  • 29
    • 0007204699 scopus 로고    scopus 로고
    • preprint no. 671, Sonderfors-chungsbereich 256, Bonn
    • S. Paycha, "Renormalized traces as a looking glass into infinite dimensional geometry," preprint no. 671, Sonderfors-chungsbereich 256, Bonn, 2000; A. Cardona, C. Ducourtioux, J. P. Magnot, and S. Paycha, "Weighted traces on the algebra of pseudodifferential operators and geometry of loop groups," math. OA/0001117 (2000).
    • (2000) Renormalized Traces as a Looking Glass into Infinite Dimensional Geometry
    • Paycha, S.1
  • 30
    • 0007205176 scopus 로고    scopus 로고
    • Weighted traces on the algebra of pseudodifferential operators and geometry of loop groups
    • S. Paycha, "Renormalized traces as a looking glass into infinite dimensional geometry," preprint no. 671, Sonderfors-chungsbereich 256, Bonn, 2000; A. Cardona, C. Ducourtioux, J. P. Magnot, and S. Paycha, "Weighted traces on the algebra of pseudodifferential operators and geometry of loop groups," math. OA/0001117 (2000).
    • (2000) Math. OA/0001117
    • Cardona, A.1    Ducourtioux, C.2    Magnot, J.P.3    Paycha, S.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.