München 1997 – wissenschaftliches Programm
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T: Teilchenphysik
T 209: Theorie I
T 209.2: Vortrag
Mittwoch, 19. März 1997, 14:25–14:40, 219
Exact renormalization group analyses in the Hamiltonian theory:QED Hamiltonian on the light front — •E. Gubankova — Institut für Theoretische Physik, Universität Heidelberg,Philosophenweg 19,D-69120 Heidelberg
The infinitesimal unitary transformation,introduced recently by Wegner,to bring the Hamiltonian to the diagonal (or band diagonal) form,is applied to the Hamiltonian theory as an exact renormalization scheme[1,2].We consider QED on the light front to illustrate the method.The effective interaction,induced in the renormalized Hamiltonian in the order α 2,is showen to be negative to insure the bound states for the positrinium.The well knowen result for the singlet-triplet splitting 7/6 α 2 Ryd is recovered in the nonrelativistic limit.The advantages of the method with respect to the naive renormalisation group approach are discussed.
[1] F.Wegner, Ann. Physik 3, 77 (1994)
[2] S.D.Glazek and K.G.Wilson, Phys. Rev. D 48, 5863 (1993); S.D.Glazek and K.G.Wilson, Phys. Rev. D 49, 4214 (1994)