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Some Topics in Topological Quantum Field Theories

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Quantum Mechanics of Fundamental Systems 3

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Abstract

I will describe in this talk some work on topological quantum field theories (TQFTs) that I have done in collaboration with Leticia Cugliandolo, Gustavo Lozano, Hugo Montani, and George Thompson. In the first part of the talk I will review some relevant features of topological field theory quantization. Then, in section 2, I will discuss the connection among various approaches to quantization by using a stochastic process description. In section 3 I will present some interesting two-dimensional TQFTs, while in section 4 I discuss topological invariants.

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References

  1. A. S. Schwartz, Lett. Math. Phys. 2, 247 (1978).

    Article  ADS  Google Scholar 

  2. S. Deser, R. Jackiw, and S. Templeton, Phys. Rev. Lett. 48, 975 (1983); Ann. Phys. (NY) 140, 372 (1984).

    Article  ADS  Google Scholar 

  3. C. R. Hagen, Ann. Phys. (NY) 157, 342 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  4. E. Witten, Comm. Math. Phys. 117, 353 (1988).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. E. Witten, Comm. Math. Phys. 118, 411 (1988).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. E. Witten, Comm. Math. Phys. 121, 351 (1989).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. E. Witten, Phys. Lett. 206B, 601 (1988).

    MathSciNet  ADS  Google Scholar 

  8. S. Elitzur, G. Moore, A. Schwimmer, and N. Seiberg, Nucl. Phys. B326, 108 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  9. M. Bos and V. P. Nair, Columbia Univ. report, 1989.

    Google Scholar 

  10. L. Baulieu and I. M. Singer, Nucl. Phys. B 5B, 18 (1988).

    MathSciNet  ADS  Google Scholar 

  11. J. Sonneschein, paper presented at the XVIIIth Int. Conf. on Diff. Geom. Meth. in Theor. Phys: Physics and Geometry. Tahoe City, July 1989. SLAC-PUB-5031.

    Google Scholar 

  12. J. M. Labastida and M. Pernici, Phys. Lett. B212, 56 (1988).

    MathSciNet  ADS  Google Scholar 

  13. D. Birmingham, R. Rakowski, and G. Thompson, Phys. Lett. B212, 187 (1988).

    MathSciNet  ADS  Google Scholar 

  14. D. Birmingham, M. Rakowski, and G. Thompson, Nucl. Phys. B315, 577 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  15. I. A. Batalin and G. A. Vilkovisky, Phys. Rev. D28, 2567 (1983).

    MathSciNet  ADS  Google Scholar 

  16. M. Prasad and C. Sommerfield, Phys. Rev. Lett. 35, 760 (1975).

    Article  ADS  Google Scholar 

  17. E. Bogomoľnyi, Sov. J. Nucl. Phys. 24, 24 (1976).

    Google Scholar 

  18. F. A. Schaposnik and G. Thompson, Phys. Lett. B224, 379 (1989).

    MathSciNet  ADS  Google Scholar 

  19. L. Cugliandolo, G. Lozano, and F. A. Schaposnik, Phys. Lett. B234, 52 (1990).

    MathSciNet  ADS  Google Scholar 

  20. L. F. Cugliandolo, G. Lozano, and F. A. Schaposnik, Phys. Rev. D, 40, 3440 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  21. L. F. Cugliandolo, G. Lozano, H. Montani, and F. A. Schaposnik, Int. J. Mod. Phys. A5, 3777 (1990).

    MathSciNet  ADS  Google Scholar 

  22. G. Parisi and N. Sourlas, Phys. Rev. Lett. 43, 744 (1979); Nucl Phys. B206, 321 (1982).

    Article  ADS  Google Scholar 

  23. D. Birmingham, M. Rakowski, and G. Thompson, Phys. Lett. B214, 381 (1988).

    MathSciNet  ADS  Google Scholar 

  24. L. Baulieu and B. Grossman, Phys. Lett. B214, 223 (1988).

    MathSciNet  ADS  Google Scholar 

  25. R. Brooks, Nucl. Phys. B320, 440 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  26. A. Salam and J. Strathdee, Nucl. Phys. B97, 293 (1975).

    Article  MathSciNet  ADS  Google Scholar 

  27. P. Fayet, Nuovo Cimento 31A, 626 (1976).

    ADS  Google Scholar 

  28. G. Lozano, M. V. Manías, and F. A. Schaposnik, Phys. Rev. D38, 601 (1988).

    ADS  Google Scholar 

  29. G. Chapline and B. Grossman, Phys. Lett. B223, 336 (1989).

    MathSciNet  ADS  Google Scholar 

  30. R. Brooks, D. Montano, and J. Sonneschein, Phys. Lett. B214, 91 (1988).

    ADS  Google Scholar 

  31. J. Home, Nucl. Phys. B318, 22 (1989).

    ADS  Google Scholar 

  32. S. Ouvry, R. Stora, and P. van Baal, Phys. Lett. B220, 159 (1989).

    ADS  Google Scholar 

  33. D. Montano and J. Sonneschein, Nucl. Phys. B324, 348 (1989).

    Article  ADS  Google Scholar 

  34. M. Blau and G. Thompson, Ann. of Phys. 205, 130 (1991).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  35. M. Blau and G. Thompson, Phys. Lett. 228B, 64 (1989).

    MathSciNet  ADS  Google Scholar 

  36. G. Zemba, Int. J. Mod. Phys. A5, 559 (1990).

    MathSciNet  ADS  Google Scholar 

  37. G. V. Dune, R. Jackiw, and C. A. Trugenberger, Ann. Phys. (NY) 194, 197 (1989).

    Article  ADS  Google Scholar 

  38. G. V. Dunne and C. A. Trugenberger, Phys. Lett. 248B, 311 (1990).

    MathSciNet  ADS  Google Scholar 

  39. T. H. Hansson, A. Karlhede, and M. Rocek, Phys. Lett. B225, 92 (1989).

    MathSciNet  ADS  Google Scholar 

  40. L. Baulieu and I. M. Singer, Comm. Math. Phys. 125, 108 (1989).

    Article  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Departamento de Física, Universidad Nacional de La Plata, 1900, La Plata, Argentina

    Fidel A. Schaposnik

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  1. Fidel A. Schaposnik
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Editors and Affiliations

  1. Centro de Estudios Científicos de Santiago, Santiago, Chile

    Claudio Teitelboim  & Jorge Zanelli  & 

  2. Facultad de Ciencias, Universidad de Chile, Santiago, Chile

    Claudio Teitelboim  & Jorge Zanelli  & 

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Schaposnik, F.A. (1992). Some Topics in Topological Quantum Field Theories. In: Teitelboim, C., Zanelli, J. (eds) Quantum Mechanics of Fundamental Systems 3. Series of the Centro de Estudios Científicos de Santiago. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3374-0_11

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  • DOI: https://doi.org/10.1007/978-1-4615-3374-0_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6489-4

  • Online ISBN: 978-1-4615-3374-0

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