A Quantum Electrodynamics on a Lattice

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概要

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• Aiming at incorporating the so-called ``ε-separation method'' into a consistent and finite formulation of quantum electrodynamics. we construct a quantum electrodynamics on a lattice. Thus we can put a reasonable interpretation on ε. The fermion field on a lattice is described by adopting the gradient operator of Drell et al. which solves the problem concerning degenerate energy levels of fermions on a lattice. An inverse operator for the gradient is defined to introduce vector potentials on a lattice., It is shown that a vector current similar to that of ``ε-separation method'' is thus obtained. It is shown that Ward identities of vector and axial vector currents are verified with the aid of sea gull terms and the remarkable property that we can shift origin of any loop integrals in the lattice theory. It is also shown that we cannot obtain usual local amplitudes taking the limit a→O and that we may utilize loop integrals of the lattice theory as devices to regularize singularities of corresponding loops if we calculate loop integrals only over the region where all integral momenta are confined within their principal values.

• 理論物理学刊行会の論文
• 1978-01-25

著者

• Nakawaki Yuji

  Faculty Of Education Setsunan University

関連論文

• Restoration of Well-Defined Charge and Chiral Charge and Correct Lorentz-Transformation Property in the Thirring and Pre-Schwinger Models
• Fermion Confinement and Non-Existence of Physical Multiple Vacua in the Schwinger Model
• A Quantum Electrodynamics on a Lattice
• On the Confinement and the Vacuum Degeneracy in the Schewinger Model
• On the Lorentz Transformations of Operator Solutions of the Pre-Schwinger Model
• A New Choice for Two-Dimensional Dirac Equation on a Spatial Lattice

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