A dimensionally reduced matrix proof of the equivalence between lagrangian and hamiltonian formulations of fermion quantum field theory

• Main Author: Jia, Yiyang
• Other Authors: School of Physical and Mathematical Sciences
• Format: Final Year Project
• Language: English
• Published: 2012
• Subjects: DRNTU::Science::Physics::Nuclear and particle physics
• Online Access: http://hdl.handle.net/10356/49146
• Institution: Nanyang Technological University

The transfer matrix has been the standard approach for showing the equivalence between Lagrangian(path integral) and Hamiltonian(operator) formulation of quantum theory. In this thesis we apply an alternative method called dimensionally reduced matrix to prove this equivalence in the context of ferm...