img Profile
Japanese
img
Name
Ryuichi Nakayama
Position
Associate Professor
e-mail address
nakayama_@_particle.sci.hokudai.ac.jp
(Please replace "_@_" with "@")
Key Word
  • Super String Theory
  • Non-Commutative Geometry
  • Matrix Model

img Research Field

Superstring theory, Quantum gravity, Noncommutative field theory The purpose of elementary particle theory is to seek for microscopic structures of matter and to study interactions among elementary particles. Among four fundamental interactions of them the strong, weak and electromagneticones are known to be described as gauge field theories. As for the last one, gravitational interaction is the most well-known force and described classically by general th eory of relativity. But quantum theory of gravity is non-renormalizable and has not b een established yet. The important candidates of the quantum theory of gravity are superstring theo ry and loop quantum gravity. Recently there have been interesting dvelopments in the superstring theory such as Gauge/Gravity duality and noncommuative physics on D branes. In the quantum theory of gravity spacetime may be noncommutative at Plank Scale, because the spacetime itself is a dynamical variable and replaced by an operator upon quantization. I am presently investigating the superstring theory and the noncommuative fiel d theory to clarify these issues of spacetime at short distance.


img Achievements (after 1997)
  • The Hamilton-Jacobi Equations for Strings and p-Branes, Y. Hosotani and R.Nakayama, Mod. Phys. Lett. A12 No.17 (1997) 1241-1266
  • Conformal Invariance of the D-Particls Effective Action, K.Hayasaka and R.Nakayama, Phys. Lett. B463, No.2-4 (1999) 181-187
  • An Associative and Noncommutative Product for the Low Energy Effective Theory of a D-Brane in Curved Backgrounds and Bi-Local Fields, K.Hayasaka and R.Nakayama, Nucl. Phys. B624 1-2 (2002) 307-326
  • A New Noncommutative Product on the Fuzzy Two-Sphere Corresponding to the Unitary Representation o SU(2) and the Seiberg-Witten Map, K. Hayasaka, R, Nakayama ans Y. Takaya, Phys. Lett. B553, No.1-2 (2003)109-118
  • Matrix Configurations for Spherical 4-branes and Non-commutative Structures on S^4, R. Nakayama and Y. Shimono, Nucl. Phys. B693, No. 1-3, 176-194 (2004)
  • Non-commutative Field Theory on S^4, R. Nakayama and Y. Shimono, Prog. Theor. Phys. 112, No5, 883-894 (2004)
  • Fuzzy Torus and q-Deformed Lie Algebra, R. Nakayama, preprint EPHOU-06-001, hepth/0604010

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