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Non-perturbative approach in truncated Fock space including antifermion

Abstract : Non-perturbative approach which we develop is based on representation of the state vector as a set of Fock components. After truncation to a finite number of components, we come to a coupled-channel problem which is solved non-perturbatively, in light-front dynamics, without using any decomposition in degrees of the coupling constant. Previously, in Yukawa model, we took into account the Fock sectors corresponding to single fermion, a fermion coupled to one boson, and a fermion coupled to two bosons. Now we extend the Fock space and incorporate also the fermion-antifermion pair, i.e., the Fock sector with two fermions and one antifermion. An appropriate non-perturbative renormalization procedure is developed.
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Submitted on : Thursday, April 15, 2010 - 4:29:13 PM
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V.A. Karmanov, Jean-Francois Mathiot, A.V. Smirnov. Non-perturbative approach in truncated Fock space including antifermion. International Workshop Light Cone 2009 (LC2009): Relativistic Hadronic and Particle Physics, Jul 2009, São José dos Campos, Brazil. pp.35-43, ⟨10.1016/j.nuclphysbps.2010.02.005⟩. ⟨in2p3-00473558⟩



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