Renormalization of Poincare Transformations in Hamiltonian Semiclassical Field Theory

Details Renormalization of Poincare Transformations in Hamiltonian Semiclassical Field Theory Renormalization of Poincare Transformations in Hamiltonian Semiclassical Field Theory

2001-09-19

arxiv.org/abs/hep-th/0109142v1

J.Math.Phys. 43 (2002) 1809-1843

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 40 pages; short version of hep-th/0103076

Scientific paper

10.1063/1.1453497

Semiclassical Hamiltonian field theory is investigated from the axiomatic point of view. A notion of a semiclassical state is introduced. An "elementary" semiclassical state is specified by a set of classical field configuration and quantum state in this external field. "Composed" semiclassical states viewed as formal superpositions of "elementary" states are nontrivial only if the Maslov isotropic condition is satisfied; the inner product of "composed" semiclassical states is degenerate. The mathematical proof of Poincare invariance of semiclassical field theory is obtained for "elementary" and "composed" semiclassical states. The notion of semiclassical field is introduced; its Poincare invariance is also mathematically proved.

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