Studies on holonomic quantum fields, I

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Studies on holonomic quantum fields, I

Mikio Sato, Tetsuji Miwa, and Michio Jimbo

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

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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.

Mathematical Reviews (MathSciNet): MR0674487

Project Euclid: euclid.pja/1195518011

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.

Mathematical Reviews (MathSciNet): MR0674488

Project Euclid: euclid.pja/1195518012

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.

Mathematical Reviews (MathSciNet): MR0674489

Project Euclid: euclid.pja/1195517984

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.

Mathematical Reviews (MathSciNet): MR0674490

Project Euclid: euclid.pja/1195517958

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.

Mathematical Reviews (MathSciNet): MR0674493

Project Euclid: euclid.pja/1195517822

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.

Mathematical Reviews (MathSciNet): MR0674494

Project Euclid: euclid.pja/1195517795

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.

Mathematical Reviews (MathSciNet): MR517325

Project Euclid: euclid.pja/1195517578

Part IX: Michio Jimbo. Studies on holonomic quantum fields, IX. Proc. Japan Acad. Ser. A Math. Sci., Volume 54, Number 9 (1978), 263--268.

Mathematical Reviews (MathSciNet): MR517667

Project Euclid: euclid.pja/1195517537

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.

Mathematical Reviews (MathSciNet): MR520980

Project Euclid: euclid.pja/1195517499

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.

Mathematical Reviews (MathSciNet): MR525007

Project Euclid: euclid.pja/1195517463

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.

Mathematical Reviews (MathSciNet): MR531446

Project Euclid: euclid.pja/1195517391

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.

Mathematical Reviews (MathSciNet): MR533703

Project Euclid: euclid.pja/1195517347

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.

Mathematical Reviews (MathSciNet): MR533538

Project Euclid: euclid.pja/1195517308

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.

Mathematical Reviews (MathSciNet): MR553397

Project Euclid: euclid.pja/1195517156

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.

Mathematical Reviews (MathSciNet): MR555056

Project Euclid: euclid.pja/1195517106

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.

Mathematical Reviews (MathSciNet): MR603054

Project Euclid: euclid.pja/1195516681

Primary Subjects: 81.58

Secondary Subjects: 15A66, 30A88, 35Q15, 58A15, 58G15, 82.58

Full-text: Open access

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Links and Identifiers

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

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References

[1] M. Sato: Proc. Mfl0, Kyoto, 1975. Springer Lecture Notes in Phys., 39. 39.

Mathematical Reviews (MathSciNet): MR650988

Zentralblatt MATH: 0331.46033

[2] B. Kaufman: Phys. Rev., 76, 1232-1243 (1949).

Zentralblatt MATH: 0035.42801

[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.).

Mathematical Reviews (MathSciNet): MR484168

Zentralblatt MATH: 0385.35003

Digital Object Identifier: doi:10.2977/prims/1195196618

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