메뉴 건너뛰기




Volumn 218, Issue 2, 2001, Pages 437-457

Fedosov deformation quantization as a BRST theory

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035531912     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005559     Document Type: Article
Times cited : (31)

References (36)
  • 1
    • 33750546062 scopus 로고
    • Quantization of relativistic systems with constraints
    • 1. Fradkin, E.S. and Vilkovisky, G.A.: Quantization of relativistic systems with constraints. Phys. Lett. B 55, 224-226 (1975); Batalin, I.A. and Vilkovisky, G.A.: Relativistic S-matrix of dynamical systems with boson and fermion constraints. Phys. Lett. B 69, 309-312 (1977); Batalin, I.A. and Fradkin, E.S.: A generalized canonical formalism and quantization of reducible gauge theories. Phys. Lett. B 122, 157-164 (1983); Batalin, I.A. and Fradkin, E.S.: Operatorial quantization of relativistic dynamical systems subject to first class constraints. Phys. Lett. B 128, 303-308 (1983); Batalin, I.A., Fradkin, E.S.: Operatorial quantization of dynamical systems subject to constraints. A further study of the construction. Ann Inst. Henri Poincaré 49, 145-214 (1988)
    • (1975) Phys. Lett. B , vol.55 , pp. 224-226
    • Fradkin, E.S.1    Vilkovisky, G.A.2
  • 2
    • 0040969973 scopus 로고
    • Relativistic S-matrix of dynamical systems with boson and fermion constraints
    • 1. Fradkin, E.S. and Vilkovisky, G.A.: Quantization of relativistic systems with constraints. Phys. Lett. B 55, 224-226 (1975); Batalin, I.A. and Vilkovisky, G.A.: Relativistic S-matrix of dynamical systems with boson and fermion constraints. Phys. Lett. B 69, 309-312 (1977); Batalin, I.A. and Fradkin, E.S.: A generalized canonical formalism and quantization of reducible gauge theories. Phys. Lett. B 122, 157-164 (1983); Batalin, I.A. and Fradkin, E.S.: Operatorial quantization of relativistic dynamical systems subject to first class constraints. Phys. Lett. B 128, 303-308 (1983); Batalin, I.A., Fradkin, E.S.: Operatorial quantization of dynamical systems subject to constraints. A further study of the construction. Ann Inst. Henri Poincaré 49, 145-214 (1988)
    • (1977) Phys. Lett. B , vol.69 , pp. 309-312
    • Batalin, I.A.1    Vilkovisky, G.A.2
  • 3
    • 0000898297 scopus 로고
    • A generalized canonical formalism and quantization of reducible gauge theories
    • 1. Fradkin, E.S. and Vilkovisky, G.A.: Quantization of relativistic systems with constraints. Phys. Lett. B 55, 224-226 (1975); Batalin, I.A. and Vilkovisky, G.A.: Relativistic S-matrix of dynamical systems with boson and fermion constraints. Phys. Lett. B 69, 309-312 (1977); Batalin, I.A. and Fradkin, E.S.: A generalized canonical formalism and quantization of reducible gauge theories. Phys. Lett. B 122, 157-164 (1983); Batalin, I.A. and Fradkin, E.S.: Operatorial quantization of relativistic dynamical systems subject to first class constraints. Phys. Lett. B 128, 303-308 (1983); Batalin, I.A., Fradkin, E.S.: Operatorial quantization of dynamical systems subject to constraints. A further study of the construction. Ann Inst. Henri Poincaré 49, 145-214 (1988)
    • (1983) Phys. Lett. B , vol.122 , pp. 157-164
    • Batalin, I.A.1    Fradkin, E.S.2
  • 4
    • 0007220763 scopus 로고
    • Operatorial quantization of relativistic dynamical systems subject to first class constraints
    • 1. Fradkin, E.S. and Vilkovisky, G.A.: Quantization of relativistic systems with constraints. Phys. Lett. B 55, 224-226 (1975); Batalin, I.A. and Vilkovisky, G.A.: Relativistic S-matrix of dynamical systems with boson and fermion constraints. Phys. Lett. B 69, 309-312 (1977); Batalin, I.A. and Fradkin, E.S.: A generalized canonical formalism and quantization of reducible gauge theories. Phys. Lett. B 122, 157-164 (1983); Batalin, I.A. and Fradkin, E.S.: Operatorial quantization of relativistic dynamical systems subject to first class constraints. Phys. Lett. B 128, 303-308 (1983); Batalin, I.A., Fradkin, E.S.: Operatorial quantization of dynamical systems subject to constraints. A further study of the construction. Ann Inst. Henri Poincaré 49, 145-214 (1988)
    • (1983) Phys. Lett. B , vol.128 , pp. 303-308
    • Batalin, I.A.1    Fradkin, E.S.2
  • 5
    • 33750546062 scopus 로고
    • Operatorial quantization of dynamical systems subject to constraints. A further study of the construction
    • 1. Fradkin, E.S. and Vilkovisky, G.A.: Quantization of relativistic systems with constraints. Phys. Lett. B 55, 224-226 (1975); Batalin, I.A. and Vilkovisky, G.A.: Relativistic S-matrix of dynamical systems with boson and fermion constraints. Phys. Lett. B 69, 309-312 (1977); Batalin, I.A. and Fradkin, E.S.: A generalized canonical formalism and quantization of reducible gauge theories. Phys. Lett. B 122, 157-164 (1983); Batalin, I.A. and Fradkin, E.S.: Operatorial quantization of relativistic dynamical systems subject to first class constraints. Phys. Lett. B 128, 303-308 (1983); Batalin, I.A., Fradkin, E.S.: Operatorial quantization of dynamical systems subject to constraints. A further study of the construction. Ann Inst. Henri Poincaré 49, 145-214 (1988)
    • (1988) Ann Inst. Henri Poincaré , vol.49 , pp. 145-214
    • Batalin, I.A.1    Fradkin, E.S.2
  • 7
    • 25544479908 scopus 로고
    • Realization of the Schwinger term in the Gauss law and the possibility of correct quantization of a theory with anomalies
    • 3. Faddeev, L.D., Shatashvili, S.L.: Realization of the Schwinger term in the Gauss law and the possibility of correct quantization of a theory with anomalies. Phys. Lett. B 167, 225 (1986)
    • (1986) Phys. Lett. B , vol.167 , pp. 225
    • Faddeev, L.D.1    Shatashvili, S.L.2
  • 8
    • 0010202465 scopus 로고
    • Operator quantization of dynamical systems with irreducible first and second class constraints
    • 4. Batalin, I.A. and Fradkin, E.S.: Operator Quantization of Dynamical Systems with Irreducible First and Second Class Constraints. Phys. Lett. B 180, 157 (1986)
    • (1986) Phys. Lett. B , vol.180 , pp. 157
    • Batalin, I.A.1    Fradkin, E.S.2
  • 9
    • 0013163006 scopus 로고
    • Operatorial quantization of dynamical systems subject to second class constraints
    • 5. Batalin, I.A. and Fradkin, E.S.: Operatorial Quantization of Dynamical Systems Subject to Second Class Constraints. Nucl. Phys. B 279, 514 (1987)
    • (1987) Nucl. Phys. B , vol.279 , pp. 514
    • Batalin, I.A.1    Fradkin, E.S.2
  • 10
    • 0001481922 scopus 로고
    • Existence theorem for the effective gauge algebra in the generalized canonical formalism with Abelian conversion of second class constraints
    • 6. Batalin, I.A. and Tyutin, I.V.: Existence theorem for the effective gauge algebra in the generalized canonical formalism with Abelian conversion of second class constraints. Int. J. Mod. Phys. A 6, 3255 (1991)
    • (1991) Int. J. Mod. Phys. A , vol.6 , pp. 3255
    • Batalin, I.A.1    Tyutin, I.V.2
  • 12
    • 0003885832 scopus 로고    scopus 로고
    • Higher spin gauge theories: Star-product and AdS space
    • Contributed article to, M. Shifman, ed., Singapore: World Scientific, hep-th/9910096
    • 8. Vasiliev, M.A.: Higher Spin Gauge Theories: Star-Product and AdS Space. Contributed article to Gelfand's Memorial Volume, M. Shifman, ed., Singapore: World Scientific, hep-th/9910096
    • Gelfand's Memorial Volume
    • Vasiliev, M.A.1
  • 13
    • 0007084601 scopus 로고    scopus 로고
    • Noncommutative geometry and string theory
    • hep-th/9908142
    • 9. Seiberg, N. and Witten, E.: Noncommutative Geometry and String Theory. JHEP 9909 (1999) 032, hep-th/9908142
    • (1999) JHEP , vol.9909 , pp. 32
    • Seiberg, N.1    Witten, E.2
  • 14
    • 0041524804 scopus 로고    scopus 로고
    • Noncommutative geometry and matrix theory: Compactification on tori
    • hep-th/9711162
    • 10. Connes, A., Douglas, M.R. and Schwarz, A.: Noncommutative Geometry and Matrix Theory: Compactification on tori. JHEP 9802:003 (1998), hep-th/9711162
    • (1998) JHEP , vol.9802 , pp. 3
    • Connes, A.1    Douglas, M.R.2    Schwarz, A.3
  • 15
    • 0001545426 scopus 로고
    • Quantization
    • 11. Berezin, F.: Quantization. Izv. Mat. Nauk 38, 1109-1165 (1974)
    • (1974) Izv. Mat. Nauk , vol.38 , pp. 1109-1165
    • Berezin, F.1
  • 16
    • 33744769996 scopus 로고
    • Deformation theory and quantization. I. Deformations of symplectic structures
    • 12. Bayen, F., Flato, M., Fronsdal, C., Lichnerowicz, A. and Sternheimer, D.: Deformation Theory and Quantization. I. Deformations of Symplectic Structures. Ann. Phys. 111, 61 (1978)
    • (1978) Ann. Phys. , vol.111 , pp. 61
    • Bayen, F.1    Flato, M.2    Fronsdal, C.3    Lichnerowicz, A.4    Sternheimer, D.5
  • 17
    • 0000898844 scopus 로고
    • Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
    • 13. De Wilde, M. and Lecomte, P.B.A.: Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds. Lett. Math. Phys. 7, 487-496 (1983)
    • (1983) Lett. Math. Phys. , vol.7 , pp. 487-496
    • De Wilde, M.1    Lecomte, P.B.A.2
  • 18
    • 84972506966 scopus 로고
    • A simple geometrical construction of deformation quantization
    • 14. Fedosov, B.V.: A Simple Geometrical Construction of Deformation Quantization. J. Diff. Geom. 40, 213-238 (1994)
    • (1994) J. Diff. Geom. , vol.40 , pp. 213-238
    • Fedosov, B.V.1
  • 19
    • 0003339602 scopus 로고    scopus 로고
    • Deformation quantization and index theory
    • Berlin: Akademie Verlag, 325 p
    • 15. Fedosov, B.: Deformation quantization and index theory. Berlin: Akademie Verlag, 1996, 325 p., (Mathematical topics 9)
    • (1996) Mathematical Topics , vol.9
    • Fedosov, B.1
  • 23
    • 0001222414 scopus 로고
    • Operator quantization of dynamical systems with curved phase space
    • 19. Batalin, G. and Fradkin, E.S.: Operator Quantization of Dynamical Systems with Curved Phase Space. Nucl. Phys. B 326, 701 (1989)
    • (1989) Nucl. Phys. B , vol.326 , pp. 701
    • Batalin, G.1    Fradkin, E.S.2
  • 24
    • 0000585377 scopus 로고
    • BFV approach to geometric quantization
    • 20. Fradkin, E.S. and Linetsky, V.Y.: BFV approach to geometric quantization. Nucl. Phys. B 431, 569 (1994); BFV Quantization on Hermitian Symmetric Spaces. Nucl. Phys. B 444, 577-601 (1995)
    • (1994) Nucl. Phys. B , vol.431 , pp. 569
    • Fradkin, E.S.1    Linetsky, V.Y.2
  • 25
    • 0007286841 scopus 로고
    • BFV quantization on Hermitian symmetric spaces
    • 20. Fradkin, E.S. and Linetsky, V.Y.: BFV approach to geometric quantization. Nucl. Phys. B 431, 569 (1994); BFV Quantization on Hermitian Symmetric Spaces. Nucl. Phys. B 444, 577-601 (1995)
    • (1995) Nucl. Phys. B , vol.444 , pp. 577-601
  • 26
    • 4243215005 scopus 로고
    • Generalized canonical quantization of dynamical systems with constraints and curved phase space
    • 21. Batalin, I.A., Fradkin, E.S. and Fradkina, T.E.: Generalized Canonical Quantization of Dynamical Systems with Constraints and Curved Phase Space. Nucl. Phys. B 332, 723 (1990)
    • (1990) Nucl. Phys. B , vol.332 , pp. 723
    • Batalin, I.A.1    Fradkin, E.S.2    Fradkina, T.E.3
  • 29
    • 0000458608 scopus 로고
    • BRST cohomology in classical mechanics
    • 24. Henneaux, M. and Teitelboim, C.: BRST Cohomology in Classical Mechanics. Commun. Math. Phys. 115, 213-230 (1988); Fisch, J., Henneaux, M., Stasheff, J. and Teitelboim, C.: Existence, Uniquiness and Cohomology of the Classical BRST Charge with Ghosts of Ghosts. Commun. Math. Phys. 120, 379-407 (1989)
    • (1988) Commun. Math. Phys. , vol.115 , pp. 213-230
    • Henneaux, M.1    Teitelboim, C.2
  • 30
    • 0001085242 scopus 로고
    • Existence, uniquiness and cohomology of the classical BRST charge with ghosts of ghosts
    • 24. Henneaux, M. and Teitelboim, C.: BRST Cohomology in Classical Mechanics. Commun. Math. Phys. 115, 213-230 (1988); Fisch, J., Henneaux, M., Stasheff, J. and Teitelboim, C.: Existence, Uniquiness and Cohomology of the Classical BRST Charge with Ghosts of Ghosts. Commun. Math. Phys. 120, 379-407 (1989)
    • (1989) Commun. Math. Phys. , vol.120 , pp. 379-407
    • Fisch, J.1    Henneaux, M.2    Stasheff, J.3    Teitelboim, C.4
  • 31
    • 0141580279 scopus 로고
    • Hamiltonian form of the path integral for theories with a gauge freedom
    • 25. Henneaux, M.: Hamiltonian Form of the Path Integral for Theories with a Gauge Freedom. Phys. Rep. 126, 1 (1985)
    • (1985) Phys. Rep. , vol.126 , pp. 1
    • Henneaux, M.1
  • 32
    • 0002501450 scopus 로고
    • Dynamic constraint systems: Homologic approach
    • 26. Dubois-Violette, M.: Dynamic Constraint Systems: Homologic Approach. Ann. Inst. Fourier Grenoble 37, 45-47 (1987)
    • (1987) Ann. Inst. Fourier Grenoble , vol.37 , pp. 45-47
    • Dubois-Violette, M.1
  • 33
    • 33744741883 scopus 로고
    • Gauge algebra and quantization
    • 27. Batalin, I.A. and Vilkovisky, G.A.: Gauge algebra and quantization. Phys. Lett. B102, 27 (1981); Quantization of gauge theories with linearly dependent generators. Phys. Rev. D28, 2567 (1983)
    • (1981) Phys. Lett. , vol.B102 , pp. 27
    • Batalin, I.A.1    Vilkovisky, G.A.2
  • 34
    • 30244485015 scopus 로고
    • Quantization of gauge theories with linearly dependent generators
    • 27. Batalin, I.A. and Vilkovisky, G.A.: Gauge algebra and quantization. Phys. Lett. B102, 27 (1981); Quantization of gauge theories with linearly dependent generators. Phys. Rev. D28, 2567 (1983)
    • (1983) Phys. Rev. , vol.D28 , pp. 2567
  • 35
    • 0002835016 scopus 로고    scopus 로고
    • Consistent interactions between gauge fields: The cohomological approach
    • Moscow, Russia, 24-31 Aug. hep-th/9712226
    • 28. Henneaux, M.: Consistent interactions between gauge fields: The cohomological approach. Talk given at Conference on Secondary Calculus and Cohomological Physics, Moscow, Russia, 24-31 Aug. 1997, hep-th/9712226; Glenn Barnich, Friedemann Brandt, Marc Henneaux: Local BRST cohomology in gauge theories. hep-th/0002245
    • (1997) Talk Given at Conference on Secondary Calculus and Cohomological Physics
    • Henneaux, M.1
  • 36
    • 0007276614 scopus 로고    scopus 로고
    • hep-th/0002245
    • 28. Henneaux, M.: Consistent interactions between gauge fields: The cohomological approach. Talk given at Conference on Secondary Calculus and Cohomological Physics, Moscow, Russia, 24-31 Aug. 1997, hep-th/9712226; Glenn Barnich, Friedemann Brandt, Marc Henneaux: Local BRST cohomology in gauge theories. hep-th/0002245
    • Local BRST Cohomology in Gauge Theories
    • Barnich, G.1    Brandt, F.2    Henneaux, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.