Tetsuo Deguchi,
Publication List

  1. Tetsuo Deguchi:
    "Topological swelling of random knots"
    to appear in the proceedings of the 1st International Symposium on ``New Developments of Integrated Sciences'', edited by H. Yoshida, School of Integrated Sciences, Graduate School of Humanities and Sciences, Ochanomizu University, Tokyo, Japan, March 11-14, 2003. (Not refereed)
  2. Hiroshi Matsuda, Akihisa Yao, Hiroshi Tsukahara, Tetsuo Deguchi, Ko Furuta and Takeo Inami:
    "Average size of random polygons with fixed knot topology"
    to appear in Phys. Rev. E (2003). (cond-mat/0303481).
  3. Akinori Nishino and Tetsuo Deguchi:
    "Bethe-ansatz studies of energy-level crossings in the one-dimensional Hubbard model"
    to appear in Phys. Rev. B (2003).
  4. Kazue Kudo and Tetsuo Deguchi:
    "Branches in the spectral flow of the inhomogeneous transfer matrix for the XXZ spin chian"
    J. Phys. Soc. Jpn. 72 No. 7 (2003) pp.1599-1602.
  5. Tetsuo Deguchi:
    "Introduction to solvable lattice models in statistical and mathematical physics"
    To be published in "Classical and Quantum Integrable Systems: Theory and Applications" (ISBN 07503 09598), Institute of Physics Publishing, (2003)
    http://bookmarkphysics.iop.org/
    (Chap. 5, pp. 113-151.)
  6. Kumi Miwa and Tetsuo Deguchi:
    "Gelation time depending on the functionality and the concentration of monomers simulated by a CCA model"
    J. Phys. Soc. Jpn. 72 (2003) pp. 976-978.
  7. Miyuki K. Shimamura and Tetsuo Deguchi:
    "Geometric complexity of conformations of ring polymers under topological constraints"
    preprint(November 2002), cond-mat/0211504.
  8. Tetsuo Deguchi and Kazue kudo:
    Bussei Kenkyu (Kyoto) Vol. 80 No.1 (2003/4) pp. 195-199. (non-refereed) [in Japanese]
  9. Kyoichi Tsurusaki, Sayaka Takeuchi and Tetsuo Deguchi:
    "Crystallization of an entangled ring polymer: coexistence of crystal and amorphous regions"
    J. Macromolecular Science: Part B -- Physics B42 Nos. 3 & 4 (2003) p. 545-557.
  10. Miyuki K. Shimamura and Tetsuo Deguchi:
    "Knot complexity and the probability of random knotting"
    Phys. Rev. E 66, R040801 (2002). (cond-mat/0207282
  11. Tetsuo Deguchi and Miyuki K. Shimamura:
    "Topological effects on the average size of random knots"
    Contemporary Math. 304, 93-114 (2002)
    the proceedings of the AMS special session on ``Physical Knotting and Unknotting'' at the Spring Western Section Meeting, Las Vegas, NV, April 21-22, 2001, edited by Jorge A. Calvo, Kenneth C. Millett and Eric J. Rawdon (in Contemporary Mathematics (CONM) book series, AMS).
  12. Miyuki K. Shimamura and Tetsuo Deguchi:
    "Finite-size and asymptotic behaviors of the gyration radius of cylindrical self-avoiding polygons"
    Phys. Rev. E 65, 051802 (2002). (cond-mat/0202106)
  13. Tetsuo Deguchi:
    "The 8V CSOS model and the sl2 loop algebra symmetry of the six-vertex model at roots of unity"
    Int. J. Mod. Phys. B 16 (2002) pp. 1899-1905. (cond-mat/0110121)
  14. Tetsuo Deguchi:
    "Construction of some missing eigenvectors of the XYZ spin chain at the discrete coupling constants and the exponentially large spectral degeneracy of the transfer matrix"
    J. Phys. A: Math. Gen. 35 (2002) 879-895. (cond-mat/0109078)
  15. Miyuki K. Shimamura and Tetsuo Deguchi:
    "Anomalous finite-size effects for the mean-squared gyration radius of Gaussian random knots"
    J. Phys. A: Math. Gen. 35 (2002) L241-L246.
    ("Anomalous finite-size effects and canonical asymptotic behaviors for the mean-squared gyration radius of Gaussian random knots", cond-mat/0108529.)
  16. Tetsuo Deguchi:
    "Non-regular eigenstate of the XXX model as some limit of the Bethe state"
    J. Phys. A: Math. Gen. 34 (2001) 9755-9775. (cond-mat/0107260)
  17. Akihisa Yao, Hiroshi Matsuda, Hiroshi Tsukahara, Miyuki K. Shimamura, and Tetsuo Deguchi:
    "On the dominance of trvial knots among SAPs on a cubic lattice"
    J. Phys. A: Math. Gen. 34 No.37 21 September 2001 pp. 7563-7577
  18. Miyuki K. Shimamura, and Tetsuo Deguchi:
    "Gyration radius of a circular polymer under a topological constraint with excluded volume"
    Phys. Rev. E 64 020801(R) (2001)
  19. Tetsuo Deguchi and Pijush K. Ghosh:
    "Spin chains from super-models", hep-th/0012058 (OCHA-SP-00-06)
    J. Phys. Soc. Jpn. 70 No. 11 (2001) pp. 3225-3237.
  20. Miyuki K. Shimamura, and Tetsuo Deguchi:
    "Topological entropy of a stiff ring polymer and its connection to DNA knots"
    J. Phys. Soc. Jpn. 70 (2001) pp. 1523-1536.
  21. Tetsuo Deguch:
    Bussei Kenkyu (Kyoto) 74-3 (2000-6) pp. 255-319. [in Japanese]
  22. Miyuki K. Shimamura, and Tetsuo Deguchi:
    "Characteristic length of random knotting for cylindrical self-avoiding polygons"
    Phys. Lett. A 274 (2000) pp. 184-191.
  23. Tetsuo Deguch:
    Kagaku 70 (2000) pp. 666-673. [in Japanese]
  24. Tetsuo Deguchi, Klaus Fabricius and Barry M. McCoy:
    "The sl2 loop algebra symmetry of the six-vertex model at roots of unity"
    J. Stat. Phys. 102 (2001) 701-736. (cond-mat/9912141)
  25. T. Deguchi, F.H.L. Essler, F. Goehmann, V.E. Korepin, A. Kluemper and K. Kusakabe:
    "Thermodynamics and excitations of the one-dimensional Hubbard model"
    Phys. Reports 331 (2000) pp. 197-281. (cond-mat/9904398)
  26. Koichi kusakabe, Tetsuo Deguchi, Ruihong Yue:
    Bussei Kenkyu (Kyoto) 71 (1999) 644-645. [in Japanese]
  27. Kyoichi Tsurusaki and Tetsuo Deguchi:
    "The linking probability of ring polymers with excluded volume"
    the Proceedings of the 2nd Tohwa University International Meeting Statistical Physics, Fukuoka, Japan, ed. by M. Tokuyama and I. Oppenheimer (World Sci., 1998) p. 199.
  28. Tetsuo Deguchi and Kyoichi Tsurusaki:
    "Numerical application of knot invariants and universality of random knotting"
    Banacha Center Publications, 42 (1998) 77-85 (Polish Academy of Sciences, Institute of Mathematics, Warszawa 1998).
  29. Tetsuo Deguchi, Ruihong Yue and Koich Kusakabe:
    "A gapless charge mode induced by the boundary states in the half-filled Hubbard open-chain"
    J. Phys. A: Math. Gen. 31 (1998) 7315-7330.
  30. Tetsuo Deguchi:
    Sugaku Seminar (1998) pp. 50-53. [in Japanese]
  31. Tetsuo Deguchi:
    Suuri Kagaku (Mathematical Sciences) No.414 pp. 12-19.[in Japanese]
  32. Ruihong Yue and Tetsuo Deguchi:
    "Magnetic susceptibility and low-temperature specific-heat of 1-D Hubbard model under open-boundary conditions"
    J. Phys. A: Math. Gen. 30 (1997) 8129-8138.
  33. Tetsuo Deguchi and Ruihong Yue:
    "Exact solutions of 1D Hubbard model with open boundary conditions and the conformal scales under boundary magnetic fields"
    preprint OCHA-PP-84 (1996)
  34. Ruihong Yue and Tetsuo Deguchi:
    "Diagonalization of 2-D inhomogeneous model related to the Hubbard model"
    IIAS Reports No. 1997-001 (1997) 195-204. (the Proceedings of the workshop on Integrable models and representation theory, International Institute for Advanced Studies, Kizu, Kyoto, October 15-19, 1996.)
  35. Tetsuo Deguchi and Kyoichi Tsurusaki:
    "Random knots and links and applications to polymer physics"
    in Lectures at Knots '96, International Conference Center, Waseda University, Tokyo, 22-31 July 1996, edited by S. Suzuki, (World Scientific, Singapore, 1997) pp. 95-122.
  36. Ruihong Yue and Tetsuo Deguchi:
    "Analytic Bethe Ansatz for 1-D Hubbard model and twisted coupled XY model"
    J. Phys. A : Math. Gen. 30 (1997) 849-865.
  37. Tetsuo Deguchi: Prity Vol. 11 (1996) No. 8, pp. 39-42.[in Japanese]
  38. Tetsuo Deguchi and Kyoichi Tsurusaki:
    "On a universality of random knotting"
    Bussei Kenkyu (Kyoto) 66 (1996) pp. 434-435. [in Japanese]
  39. Kyoichi Tsurusaki and Tetsuo Deguchi:
    "Numerical analysis on Topological Entanglements of random polygons"
    Statistical Models, Yang-Baxter Equation and Related Topics, eds. M.L. Ge and F.Y. Wu, the proceedings of the Satellite Meeting of STATPHYS-19, Nankai Institute, Tianjin, China, 8-10 August 1995, (World Scientific, Singapore, 1996) pp. 320-329.
  40. Tetsuo Deguchi and Kyoichi Tsurusaki:
    "Numerical Application of Quantum Invariants to Random Knotting"
    in Geometry and Physics, Lect. Notes in Pure and Applied Math. Series/184, ed. by J.E. Andersen, J. Dupont, H. Pedersen, and A. Swann, (Marcel Dekker Inc., Basel Switzerland, 1997), pp. 557-565.
  41. Tetsuo Deguchi and Kyoichi Tsurusaki:
    "Universality of Random Knotting"
    Phys. Rev. E. 55 (1997) 6245-6248.
  42. Tetsuo Deguchi:
    "A Note on Generalized Spin Models"
    in Topics in Theoretical Physics, the Proceedings of the Second Pacific Winter School for Theoretical Physics, January 18-24, 1995, Sorak, Korea, edited by Y.M. Cho, (World Scientific, Singapore, 1997) pp. 175-177.
  43. Tetsuo Deguchi:
    "Generalized generalized spin models associated with exactly solvable models"
    Advanced Studies in Pure Mathematics 24 (1996) 82-101 ("Progress in Algebraic Combinatorics").
  44. Kyoichi Tsurusaki and Tetsuo Deguchi:
    "Fractions of Particular knots in Gaussian Random Polygons"
    J. Phys. Soc. Jpn. 64 (1995) 1506-1518.
  45. Tetsuo Deguchi and Kyoichi Tsurusaki:
    "A Statistical Study of Random Knotting Using the Vassiliev Invariants"
    Journal of Knot Theory and Its Ramifications 3 (1994) 321-353.
  46. Tetsuo Deguchi:
    "Multivariable Invariants of Colored Links Related to Uq(sl(2)) Generalizing the Alexander Polynomial"
    in the Proceedings of the International Conference on Algebraic Combinatorics (November 22-26, 1993, Fukuoka, Kyushu Univeristy, Organizers, E. Bannai et al. ) p. 3.
  47. Tetsuo Deguchi:
    "On numerical applications of the Vassiliev invariants to computational problems in physics"
    in the Proceedings of the Conference on Quantum Topology, Kansas State University, March 24-28, 1993, ed. by D.N. Yetter, (World Sci., Singapore 1994). pp. 87-98.
  48. Tetsuo Deguchi:
    "Multivariable Invariants of Colored Links Generalizing the Alexander Polynomial"
    in the Proceedings of the Conference on Quantum Topology, Kansas, March 24-28, 1993, ed. by D.N. Yetter, (World Sci., Singapore, 1994). pp. 67-86.
  49. Tetsuo Deguchi and Miki Wadati:
    "Solvable Models, Link Invariants and Their Applications in Physics"
    in Braid Group, Knot Theory and Statistical Mechanics II, eds. C.N. Yang and M.L. Ge, (World Sci., Singapore, 1994) pp. 20-69.
  50. Tetsuo Deguchi and Kyoichi Tsurusaki:
    "Topology of Closed Random Polygons"
    J. Phys. Soc. Jpn. 62 (1993) 1411-1414.
  51. Kyoichi Tsurusaki, Tetsuo Deguchi and Miki Wadati:
    "A Topological Study of Random Walks"
    Field Theory and Collective Phenomena, the Proceedings of the Workshop at Perugia on May 1992, ed. by S. De Lillo, F.C. Khanna, G.W. Semenoff, P. Sodano (World Sci. Co., Singapore 1995) pp. 185-206.
  52. Tetsuo Deguchi and Kyoichi Tsurusaki:
    "A New Algorithm for Numerical Calculation of Link Invariants"
    Phys. Lett. A 174 (1993) 29-37.
  53. Tetsuo Deguchi and Tomotada Ohtsuki:
    "Invariants of Colored Links and a Property of the Clebsch-Gordan Coefficients of Uq(g)",
    Int. J. Mod. Phys. A (Proc. Suppl.) 3A (1993) pp. 263-266.
    (the Proceedings of the 21st International Conference on the Differential Geometry Methods in Theoretical Physics, June 5-9, 1992, Tianjin, China, eds. C.N. Yang, M.L. Ge and X.W. Zhou.)
  54. Tetsuo Deguchi and Yasuhiro Akutsu:
    "Colored Vertex Models, Colored IRF Models and Invariants of Trivalent Colored Graphs"
    J. Phys. Soc. Jpn. 62 (1993) 19-35.
  55. Thesis:
    "Multivariable Invariants of Colored Links and Related Solvable Models in Statistical Mechanics"
    March 1992, Department of Physics, University of Tokyo
  56. Tetsuo Deguchi:
    Suuri Kagaku (Mathematical Sciences) No.345 (1992) pp. 48-51. [in Japanese]
  57. Tetsuo Deguchi and Yasuhiro Akutsu:
    "Colored braid matrices and invariants of colored oriented links"
    the Proceedings of the Workshop at Kashikojima, November 5-8, 1992 pp. 19-31.
  58. Tetsuo Deguchi and Yasuhiro Akutsu:
    "Colored braid matrices from infinite dimensional representations of Uq(g)"
    Mod. Phys. Lett. A7 (1992) 767-779.
  59. Yasuhiro Akutsu, Tetsuo Deguchi and Tomotada Ohtsuki:
    "Invariants of Colored Links"
    Journal of Knot Theory and Its Ramifications 1 (1992) 161-184.
  60. Tetsuo Deguchi and Paul P. Martin:
    "An Algebraic Approach to Vertex Models and Transfer Matrix Spectra"
    Int. J. Mod. Phys. A 7, Suppl. 1A (1992) 165-196
    Proceedings of the RIMS Research Project 1991 Infinite Analysis.
  61. Taichiro Takagi, Tetsuo Deguchi and Miki Wadati:
    "Higher Spin Cyclic Solid-on-Solid Models"
    J. Phys. Soc. Jpn. 61 (1992) 462-469.
  62. Tetsuo Deguchi:
    "On the New Hiearachy of the Colored Braid Matrices"
    J. Phys. Soc. Jpn. 60 (1991) 3978-3979.
  63. Tetsuo Deguchi and Yasuhiro Akutsu:
    "A New Hierarchy of Colored Vertex models"
    J. Phys. Soc. Jpn. 60 (1991) 4051-4059.
  64. Tetsuo Deguchi:
    "Multivariable Vertex Models Associated with the Temperley-Lieb Algebra"
    Phys. Lett. {\bf 159A} (1991) 163-169.
  65. Tetsuo Deguchi and Yasuhiro Akutsu:
    "A General Formula for Colored Zn Graded Braid Matrices and the Fusion Braid Matrices"
    J. Phys. Soc. Jpn. 60 (1991) 2559-2570.
  66. Yasuhiro Akutsu and Tetsuo Deguchi:
    "A New Hierarchy of Colored Braid Group Representations"
    Phys. Rev. Lett. 67 (1991) 777-780.
  67. Tetsuo Deguchi and Akira Fujii:
    "Hybrid Type Model and the Direct Sum of Quantum Groups"
    Mod. Phys. Lett. A 6 (1991) 1177-1183.
  68. Tetsuo Deguchi:
    "Restricted IRF models with Complex Coupling Parameters"
    J. Phys. Soc. Jpn. 60 (1991) 1145-1149.
  69. Tetsuo Deguchi and Akira Fujii:
    "IRF models associated with representations of Lie superalgebras gl(m|n) and sl(m|n)"
    Mod. Phys. Lett. A 6 (1991) 3413-3426.
  70. Miki Wadati and Tetsuo Deguchi:
    "Integrable Systems and Knot theory"
    in the Proceedings of the 25 th International Conference on High Energy Physics, 2-8 August 1990, Singapore , eds. K.K. Phua and Y. Yamaguchi, (Published by South East Asia Theoretical Association and the Physical Society of Japan, Singapore, 1991) pp. 1389-1399.
  71. Miki Wadati, Tetsuo Deguchi and Yasuhiro Akutsu:
    "Yang-Baxter Relation, Exactly Solvable Models and Link Polynomials, in Quantum Groups"
    Proceedings of Workshops held in the Euler International Mathematical Institute, Leningrad, Fall 1990, ed. P.P. Kulish (Springer-Verlag, Berlin Heidelberg, 1992) pp. 373-388.
  72. Tetsuo Deguchi andMiki Wadati:
    Suuri Kagaku (Mathematical Sciences) No. 330, (1990) pp. 57-62.[in Jpanese]
  73. Miki Wadati and Tetsuo Deguchi:
    "Old and New Link Polynomials From the Theory of Exactly Solvable Models"
    Physica D 51 (1991) 376-387.
  74. Tetsuo Deguchi:
    "Hybrid-Type Solvable Models and Multivariable Link Polynomials"
    J. Phys. Soc. Jpn. 59 (1990) 1119-1122.
  75. Tetsuo Deguchi:
    "Link Polynomials and Solvable Models"
    in Physics, Geometry and Topology, ed. H.C. Lee, Plenum Press, New York, 1990, pp. 583-603.
  76. Tetsuo Deguchi:
    "Link Polynomials, Linking Number and Exactly Solvable Models"
    in the Proceedings of the Workshop Topology, Field Theory and Superstrings, KEK, Tsukuba, Japan, November 6-10, 1989, eds. M. Kobayashi and S. Nojiri, (KEK Report 89-22, January 1990), pp. 45-76.
  77. Tetsuo Deguchi and Yasuhiro Akutsu:
    "Graded Solutions of the Yang-Baxter Relation and Link Polynomials"
    J. Phys. A: Math. Gen. 23 (1990) 1861-1875.
  78. Tetsuo Deguchi, Akira Fujii and Katsushi Ito:
    "Quantum Superalgebra UqOsp(2|2)"
    Phys. Lett. B238 (1990) 242-246.
  79. Tetsuo Deguchi:
    "Braid Group Representations and Link Polynomials Derived from Generalized SU(n) Vertex Models"
    J. Phys. Soc. Jpn. 58 (1989) 3441-3444.
  80. Tetsuo Deguchi:
    "Braids, Link Polynomials and Transformations of Solvable Models"
    Int. J. Mod. Phys. A 5 (1990) 2195-2239.
  81. Tetsuo Deguchi and Yasuhiko Yamada:
    "Link Polynomial, Crossing Multiplier and Surgery Formula"
    in the Proceedings of the Workshop Beyond Riemann Surfaces, (RITP, Takehara, Hiroshima University, February 1989), p. 1.
  82. Miki Wadati, Yasuhiro Akutsu and Tetsuo Deguchi:
    "Link Polynomials and Exactly Solvable Models"
    in Nonlinear Physics, eds. Gu Chaohao, Li Yishen and Tu Guizhang, (Springer-Verlag, Berlin, Heidelberg, 1990) pp. 111-135.
  83. Tetsuo Deguchi, Miki Wadati and Yasuhiro Akutsu:
    "Knot Theory based on Solvable Models at Criticality"
    Advanced Studies in Pure Mathematics 19 (1989) pp. 193-285
    (Kinokuniya-Academic Press).
  84. Miki Wadati, Tetsuo Deguchi and Yasuhiro Akutsu:
    "Exactly Solvable Models and Knot Theory"
    Phys. Reports 180 (1989) 247-332.
  85. Yasuhiro Akutsu, Tetsuo Deguchi and Miki Wadati:
    "The Yang-Baxter Relation: A New Tool for Knot Theory"
    in Braid Group, Knot Theory and Statistical Mechanics, ed. C.N. Yang and M.L. Ge, (World Scientific Pub., Singapore, 1989), pp. 151-200.
  86. Miki Wadati, Yasuhiko Yamada and Tetsuo Deguchi:
    "Knot Theory and Conformal Field Theory: Reduction Relations for Braid Generators"
    J. Phys. Soc. Jpn. 58 (1989) 1153-1161.
  87. Miki Wadati, Tetsuo Deguchi and Yasuhiro Akutsu:
    kagaku 59 No.2 (1989) p. 73.[in Japanese]
  88. Miki Wadati, Tetsuo Deguchi and Yasuhiro Akutsu:
    "Exactly Solvable Models and New Link Polynomials"
    in Nonlinear Evolution Equations, Integrability and Spectral Methods, ed. A. Fordy, (Manchester University Press, 1990).
  89. Tetsuo Deguchi, Miki Wadati and Yasuhiro Akutsu:
    "Link Polynomials Constructed from Solvable Models in Statistical Mechanics"
    J. Phys. Soc. Jpn. 57 (1988) 2921-2935.
  90. Tetsuo Deguchi, Miki Wadati and Yasuhiro Akutsu:
    "Exactly Solvable Models and New Link polynomials.
    V. Yang-Baxter Operator and Braid-Monoid Algebra"
    J. Phys. Soc. Jpn. 57 (1988) 1905-1923.

  91. Yasuhiro Akutsu, Tetsuo Deguchi and Miki Wadati:
    "Exactly Solvable Models and New Link polynomials.
    IV. IRF Models"
    J. Phys. Soc. Jpn. 57 (1988) 1173-1185.
  92. Tetsuo Deguchi, Yasuhiro Akutsu and Miki Wadati:
    "Exactly Solvable Models and New Link polynomials.
    III. Two-Variable Topological Invariants"
    J. Phys. Soc. Jpn. 57 (1988) 757-776.
  93. Yasuhiro Akutsu, Tetsuo Deguchi and Miki Wadati:
    "Exactly Solvable Models and New Link polynomials.
    II. Link Polynomials for Closed 3-Braids"
    J. Phys. Soc. Jpn. 56 (1987) 3464-3479.
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