ep - t h / 93 02 12 8 v 1 2 5 Fe b 19 93 On the problem of unboundedness from below of the spinor QED Hamiltonian

  • L G Zastavenko
  • Published 2009

Abstract

We show that the Hamiltonian h = HQED + H2, where HQED is the spinor QED Hamiltonian and H2 is the positive transversal photon mass term, is unbounded from below if the electromagnetic coupling constant e2 is small enough, e2 < e0, and the transversal photon squared mass parameter M2 is not too large: 0 ≤ M2 < e2l2c, here, l is the cut-off parameter, and c and e0, positive constants which do not depend on any parameters. 0. INTRODUCTION F.Palumbo [1] showed that the spinor QED Hamiltonian HQED is unbounded from below. He got this interestlng result considering, in fact, the operator H = ∫ dS(0)ΩprHQEDΩpr ∫ dS(0)ΩprΩpr (0.1) here dS(0) ≡ ∏k 6=0,λ=1,2 dq(k, λ), and Ωpr is a trial function depending on the transversal photon variables q(k, λ),k 6= 0, |k| < l, λ = 1, 2, on electron

Cite this paper

@inproceedings{Zastavenko2009epT, title={ep - t h / 93 02 12 8 v 1 2 5 Fe b 19 93 On the problem of unboundedness from below of the spinor QED Hamiltonian}, author={L G Zastavenko}, year={2009} }