Proceedings of the Japan Academy, Series A, Mathematical Sciences

Studies on holonomic quantum fields, I

Mikio Sato, Tetsuji Miwa, and Michio Jimbo

Full-text: Open access

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci. Volume 53, Number 1 (1977), 6-10.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
http://projecteuclid.org/euclid.pja/1195518148

Mathematical Reviews number (MathSciNet)
MR0674350

Digital Object Identifier
doi:10.3792/pjaa.53.6

Subjects
Primary: 81.58
Secondary: 15A66: Clifford algebras, spinors 30A88 35Q15: Riemann-Hilbert problems [See also 30E25, 31A25, 31B20] 58A15: Exterior differential systems (Cartan theory) 58G15 82.58

Citation

Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio. Studies on holonomic quantum fields, I. Proceedings of the Japan Academy, Series A, Mathematical Sciences 53 (1977), no. 1, 6--10. doi:10.3792/pjaa.53.6. http://projecteuclid.org/euclid.pja/1195518148.


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References

  • [1] M. Sato: Proc. Mfl0, Kyoto, 1975. Springer Lecture Notes in Phys., 39. 39.
  • [2] B. Kaufman: Phys. Rev., 76, 1232-1243 (1949).
  • [3] M. Sato, T. Miwa, and M. Jimbo: Field theory of the 2-dimensional Ising model in the scaling limit. RIMS preprint, 207 (1976).
  • [4] T. T. Wu, B. M. McCoy, C. A. Tracy, and E. Barouch: Phys. Rev., B13, 316-374 (1976).
  • [5] R. Z. Bariev: Phys. Lett., 55A, 456-458 (1976).
  • [6] M. Sato, T. Miwa, M. Jimbo, and T. Oshima: Holonomy structure of Landau singularities and Feynman integrals (to appear in Publ. RIMS, 12, suppl.).

See also

  • Part II: Mikio Sato, Tetsuji Miwa, Michio Jimbo. Studies on holonomic quantum fields, II. Proc. Japan Acad. Ser. A Math. Sci., Volume 53, Number 5 (1977), 147--152.
  • Part III: Mikio Sato, Tetsuji Miwn, Michio Jimbo. Studies on holonomic quantum fields, III. Proc. Japan Acad. Ser. A Math. Sci., Volume 53, Number 5 (1977), 153--158.
  • Part IV: Mikio Sato, Tetsuji Miwa, Michio Jimbo. Studies on holonomic quantum fields, IV. Proc. Japan Acad. Ser. A Math. Sci., Volume 53, Number 6 (1977), 183--185.
  • Part V: Mikio Sato, Tetsuji Miwa, Michio Jimbo. Studies on holonomic quantum fields, V. Proc. Japan Acad. Ser. A Math. Sci., Volume 53, Number 7 (1977), 219--224.
  • Part VI: Tetsuji Miwa, Mikio Sato, Michio Jimbo. Studies on holonomic quantum fields, VI. Proc. Japan Acad. Ser. A Math. Sci., Volume 54, Number 1 (1978), 1--5.
  • Part VII: Mikio Sato, Tetsuji Miwa, Michio Jimbo. Studies on holonomic quantum fields, VII. Proc. Japan Acad. Ser. A Math. Sci., Volume 54, Number 2 (1978), 36--41.
  • Part VIII: Mikio Sato, Tetsuji Miwa, Michio Jimbo. Studies on holonomic quantum fields, VIII. Proc. Japan Acad. Ser. A Math. Sci., Volume 54, Number 8 (1978), 221--225.
  • Part IX: Michio Jimbo. Studies on holonomic quantum fields, IX. Proc. Japan Acad. Ser. A Math. Sci., Volume 54, Number 9 (1978), 263--268.
  • Part X: Mikio Sato, Tetsuji Miwa, Michio Jimbo. Studies on holonomic quantum fields, X. Proc. Japan Acad. Ser. A Math. Sci., Volume 54, Number 10 (1978), 309--313.
  • Part XI: Mikio Sato, Tetsuji Miwa, Michio Jimbo. Studies on holonomic quantum fields, XI. Proc. Japan Acad. Ser. A Math. Sci., Volume 55, Number 1 (1979), 6--9.
  • Part XII: Mikio Sato, Tetsuji Miwa, Michio Jimbo. Studies on holonomic quantum fields, XII. Proc. Japan Acad. Ser. A Math. Sci., Volume 55, Number 3 (1979), 73--77.
  • Part XIII: Michio Jimbo, Tetsuji Miwa. Studies on holonomic quantum fields, XIII. Proc. Japan Acad. Ser. A Math. Sci., Volume 55, Number 4 (1979), 115--120.
  • Part XIV: Michio Jimbo, Tetsuji Miwa. Studies on holonomic quantum fields, XIV. Proc. Japan Acad. Ser. A Math. Sci., Volume 55, Number 5 (1979), 157--162.
  • Part XV: Michio Jimbo, Tetsuji Miwa, Mikio Sato. Studies on holonomic quantum fields, XV. Double scaling limit of one dimensional $XY$ model. Proc. Japan Acad. Ser. A Math. Sci., Volume 55, Number 8 (1979), 267--272.
  • Part XVI: Michio Jimbo, Tetsuji Miwa, Yasuko Mōri, Mikio Sato. Studies on holonomic quantum fields, XVI. Density matrix of impenetrable bose gas. Proc. Japan Acad. Ser. A Math. Sci., Volume 55, Number 9 (1979), 317--322.
  • Part XVII: Michio Jimbo, Tetsuji Miwa. Studies on holonomic quantum fields, XVII. Proc. Japan Acad. Ser. A Math. Sci., Volume 56, Number 9 (1980), 405--410.