Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-07-29
Physics
High Energy Physics
High Energy Physics - Theory
44 pages
Scientific paper
Starting from the instant form of relativistic quantum dynamics for a system of interacting fields, where amongst the ten generators of the Poincare group only the Hamiltonian and the boost operators carry interactions, we offer an algebraic method to satisfy the Poincare commutators. We do not need to employ the Lagrangian formalism for local fields with the Noether representation of the generators. Our approach is based on an opportunity to separate in the primary interaction density a part which is the Lorentz scalar. It makes possible apply the recursive relations obtained in this work to construct the boosts in case of both local field models (for instance with derivative couplings and spins $\geq1$) and their nonlocal extensions. Such models are typical of the meson theory of nuclear forces, where one has to take into account vector meson exchanges and introduce meson-nucleon vertices with cutoffs in momentum space. Considerable attention is paid to finding analytic expressions for the generators in the clothed-particle representation, in which the so-called bad terms are simultaneously removed from the Hamiltonian and the boosts. Moreover, the mass renormalization terms introduced in the Hamiltonian at the very beginning turn out to be related to certain covariant integrals that are convergent in the field models with appropriate cutoff factors.
Frolov P. A.
Shebeko A. V.
No associations
LandOfFree
A possible way for constructing generators of the Poincare group in quantum field theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A possible way for constructing generators of the Poincare group in quantum field theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A possible way for constructing generators of the Poincare group in quantum field theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-318383