11-04U
11-04U
Poincar\'e-invariance of partially reduced Yukawa-like models
We consider a scalar Yukawa-like model in the framework of partially reduced quantum field theory. The Lagrangian of the model consists of free scalar field terms and nonlocal current interaction term. Hamiltonian expressions for conserved quantities arose from a Lorentz-invariance of the model in the momentum representation have been found in the first-order coupling constant approximation. Canonical quantization of the system is performed. It is shown that the obtained conserved quantities and previously founded the Hamiltonian and the momentum of the system satisfy the commutational relations of the Poincar\'e group.