Dirac Quantization for Interaction Lagrangian with Time Derivative Terms
Abstract: The presence of the
second order time derivative terms in interaction Lagrangian density of
fermions system precludes to apply directly the quantization procedure to its
canonical Hamiltonian. Field transformation is used here to handle this
problem, so that the transformed Hamiltonian density can be quantized by using
Dirac quantization procedure. We obtain the two sets primary constraints which
are used to construct Dirac matrix, bracket relation as well as the transformed
Hamiltonian. Using this transformed Hamiltonian, the 00-component of energy
momentum tensor as well as the equation of state of the system are
calculated.
Keywords: Field
transformation, Canonical Hamiltonian, Transformed Hamiltonian density, Dirac
quantization procedure
Author: Syaefudin Jaelani and
Anto Sulaksono
Journal Code: jpmatematikagg120002
