Canonical Formalism for Quantized Fields in a Two-Dimensional Medium

スポンサーリンク

概要

• 論文の詳細を見る

• This study deals with a construction of the canonical formalism for fields associated with the unit-disk medium which is a continuous version of a planar Feynman graph. The variable which plays the role of the "time" is defined with the help of a conjugate field which is holomorphic in the domain outside the unit disk. Commutation relations for Taylor coefficients are obtained by means of canonical quantization. Equations of "motion", which are compatible with those derived by group-theoretical consideration, are consistently presented. Finally it is suggested that a quark line should always make a loop on a Riemann sphere if the new field holomorphic outside the unit disk is an analytic continuation of the original field which is holomorphic inside the unit disk.

• 理論物理学刊行会の論文
• 1971-04-25

著者

• MINAMI Masatsugu

  RIMS, Kyoto University

関連論文

• Dual of the Non-Planar Tetrahedron Graph
• Geometrical Surfaces Relevant to the Sinh-Gordon and the Liouville-Toda Equation : Condensed Matter and Statistical Physics
• Quantized Fields Associated with the Annulus-Type Medium
• Veneziano Amplitude Represented as a Vector on a Complex Plane
• Canonical Formalism for Quantized Fields in a Two-Dimensional Medium

スポンサーリンク