img Profile
Japanese
img
Name
 Noboru Kawamoto
Position
 Emeritus Professor
e-mail address
 kawamoto_@_ particle.sci.hokudai.ac.jp
(Please replace "_@_" with "@")
Key Word
  • Unified Theory Formulated with The Random Lattice
  • Generalized Gauge Theory
  • Lattice Quantum Gravity
  • Twisted Supersymmetry
  • Supersymmetry on The Lattice
  • Effective Theory of Strong Coupling Lattice QCD

img Research Field

We have investigated into the lattice formulation of Quantum Field Theory. Lattice formulation may be the most systematic method of regulelization of "Quantum Fields", which is an indispensable process in Quantum Field Theory. In praxis, Physicists have succeeded in the quantitative calculation of mass of Hadrons like Proton or Mesons by the Lattice Gauge Theory. And it should be pointed out that the Quantum Gravity in 2 dimension can be formulated on the random lattice. Hence we have considered the new lattice formulation in which the Standard Model and Gravity are formulated. From this point of view, we have suggested that the "Generalized Gauge Theory", in which the gauge theory is formulated on the arbitrary dimension, and investigated the relation between a Generalized Gauge Theory and 3 or 4 dimensional Quantum Gravity on the lattice.

Furthermore, we have revealed that the Super Yang-Mills Theory can be introduced from a Gneneralized Gauge theory. Therefore, we have studied the lattice formulation of the Super Yang-Mills Theory and achieved in N=D=2 case (N=the number of Supersymmetry, D=dimension).

As is stated above, the basement of a new lattice formulation including Super Yang-Mills and Gravity is going to be completed.


img Achievements (after 1997)
  • N. Kawamoto, E. Ozawa, K. Suehiro, Quantization of Even Dimensional Actions of Chern-Simons form with Infinite Reducibility, Mod.Phys.Lett.A12 (219-232), 1997, hep-th/9605228
  • J. Ambjorn, K.N. Anagnostopoulos, T. Ichihara, L. Jensen, N. Kawamoto, Y. Watabiki, K. Yotsuji, Quantum Geometry of Topological Gravity, Phys.Lett.B397 (177-184), 1997, hep-lat/9611032
  • N. Kawamoto, K. Suehiro, T. Tsukioka, H. Umetsu, Quantization of Infinitely Reducible Generalized Chern-Simons Actions in Two-Dimensions, Commun.Math.Phys.195 (233-247), 1998, hep-th/9702172
  • J. Ambjorn, K. Anagnostopoulos , T. Ichihara , L. Jensen , N. Kawamoto, Y. Watabiki , K. Yotsuji, The Quantum Space-Time of c=-2 Gravity, Nucl.Phys.B511 (673-710), 1998, hep-lat/9706009
  • N. Kawamoto, K. Suehiro, T. Tsukioka, H. Umetsu, Quantization of Even Dimensional Actions of Chern-Simons Form with Infinite Reducibility, Nucl.Phys.B532 (429-472), 1998, hep-th/9804138
  • N. Kawamoto H. B. Nielsen, N. Sato, Lattice Chern-Simons Gravity via Ponzano-Regge Model, Nucl.Phys.B555 (629-649), 1999, hep-th/9902165
  • N. Kawamoto, Nonstring Pursuit Towards Unified Model on the Lattice, to be published in the proceedings of 13th Nishinomiya-Yukawa Memorial Symposium on Dynamics of Fields and Strings, Nishinomiya, Japan, 12-13 Nov 1998, Prog.Theor.Phys.Suppl.134 (84-136), 1999, hep-th/9904089
  • N. Kawamoto, T. Tsukioka, N=2 Supersymmetric Model with Dirac-Kahler Fermions from Generalized Gauge Theory in Two-Dimensions, Phys.Rev.D61 (105009), 2000, hep-th/9905222
  • N. Kawamoto, N. Sato, Y. Uchida, Four-Dimensional BF Gravity on the Lattice, Nucl.Phys.B574 (809-848), 2000, hep-th/9911228
  • J. Ambjorn , D.V. Boulatov, N. Kawamoto Y. Watabiki, Recursive Sampling Simulations of 3-D Gravity Coupled to Scalar Fermions, Phys.Lett.B480 (319-330), 2000, hep-lat/0002015
  • N. Kawamoto, T. Tsukioka, H. Umetsu, Generalized gauge theories and Weinberg-Salam model with Dirac-Kahler fermions, Int. J. Mod. Phys., A16(3867-3896), 2001, hep-th/0010254
  • N. Kawamoto, K. Yotsuji, Numerical Study for the c-dependence of Fractal Dimension in two-Dimensional Quantum Gravity, Nucl. Phys. B644(533-567), 2002, hep-lat/0207007
  • N. Kawamoto, K. Yotsuji, c-dependence of Fractal Dimension in Two-Dimensional Quantum Gravity, Nucl.Phys.Proc.Suppl.129(794-796), 2003,
  • I. Kanamori, N. Kawamoto, Dirac-Kahler Fermion from Clifford Product with noncommutative Differential Form on a Lattice, Int. J. Mod. Phys. A19(695-736), 2004, hep-th/0305094
  • I. Kanamori, N. Kawamoto, Dirac-Kaher Fermion with noncommutative Differential Forms on a Lattice, Nucl.Phys.Proc.Suppl.129(877-879), 2004, hep-lat/0309120
  • J. Kato, N. Kawamoto, Y. Uchida, Twisted Superspace for N=D=2 Super BF and Yang-Mills with Dirac-Kahler Fermion Mechanism, Int. J. Mod. Phys. A19(2149-2182), 2004, hep-th/0310242
  • J. Kato, N. Kawamoto, A. Miyake, N=4 Twisted Superspace from Dirac-Kahler Twist and Off-shell SUSY Invariant Actions in Four Dimensions., Nucl. Phys. B721 (229-286), 2005, hep-th/0502119
  • A. D'Adda, I. Kanamori, N. Kawamoto, K. Nagata, Twisted Superspace on a Lattice, Nucl. Phys., B707(100-144), 2005, hep-lat/0406029
  • A. D'Adda, I. Kanamori, N. Kawamoto, K. Nagata, Twisted N=2 Exact SUSY on the Lattice for BF and Wess-Zumino, Nucl.Phys.Proc.,Suppl.140(754-756), 2005, hep-lat/0409092
  • A. D'Adda, I. Kanamori, N. Kawamoto, K. Nagata, N=D=2 Twisted Supersymmetry on a Lattice, Nucl.Phys.Proc.,Suppl.140(757-759), 2005
  • A. D'Adda, I. Kanamori, N. Kawamoto, K. Nagata, Exact Extended Supersymmetry on a Lattice: Twisted N=2 Super Yang-Mills, 2005, hep-lat/0507029
  • N. Kawamoto, K. Miura, A. Ohnishi, T. Ohnuma, Phase Diagram at Finite Temperature and Quark Density in the Strong, 2005, hep-lat/0512023
Back to Home      Previous Page