Light-Front Hamiltonian and Path Integral Formulations of the Conformally Gauge-Fixed Polyakov D1 Brane Action

• 作者: Daya Shankar Kulshreshtha Usha Kulshreshtha
• 来源期刊: 现代物理(英文)
• 学科: 物理学
• 关键词: LIGHT-FRONT QUANTIZATION HAMILTONIAN QUANTIZATION Path Integral QUANTIZATION Constrained Dynamics Constraint QUANTIZATION GAUGE SYMMETRY STRING GAUGE SYMMETRY STRING Theory D-brane Actions Polyakov Action Light-Cone Quantization.
• 年，卷（期）: xdwlyw_2011,（5）
• 页码范围: 335-340
• 页数: 6页
• 分类号: O4

摘要

In a recent paper we have studied the Hamiltonian and path integral quantizations of the conformally gauge-fixed Polyakov D1 brane action in the instant-form of dynamics using the equal world-sheet time framework on the hyperplanes defined by the world- sheet time . In the present work we quantize the same theory in the equal light-cone world-sheet time framework, on the hyperplanes of the light-front defined by the light-cone world-sheet time , using the standard constraint quantization techniques in the Hamiltonian and path integral formulations. The light-front theory is seen to be a constrained system in the sense of Dirac, which is in contrast to the corresponding case of the instant-form theory, where the theory remains unconstrained in the sense of Dirac. The light-front theory is seen to possess a set of twenty six primary second-class contraints. In the present work Hamiltonian and path integral quantizations of this theory are studied on the light-front.