XVII Encontro de Modelagem Computacional
V Encontro de Ciência e Tecnologia de Materiais
Universidade Católica de Petrópolis (UCP), Petrópolis/RJ, Brasil. 15-17 out. 2014
FREDHOLM EQUATION CROSS-LADER DIAGRAMS VIA COMPUTER
TECHNIQUES
Gislan Silveira Santos – [email protected]
Cássio Almeida Lima – [email protected]
Jorge Henrique Sales – [email protected]
Universidade Estadual de Santa Cruz, Campus Soane Nazaré de Andrade, Rodovia Jorge
Amado, Km 16, Bairro Salobrinho, CEP 45662-900. Ilhéus, BA, Brasil
Abstract. We calculate the correction to the propagator of two bosons up to the g4 order in
the “cross-ladder” approximation. We begin with the second order correction to the
propagator and the matrix element for the interaction between states in the Fock space, and
with it obtain the correction to the propagator in the light front. We obtained the corrected
propagator up to the g4 order starting with a set of hierarchical equations that correspond to
the truncation of the Fock space in the light front. We use only states with two particles Φ1
(m=1) and Φ2 (m=1) are allowed, with no restriction as to the number of intermediate σ
bosons (m=0.5). The hierarchy of the coupled equations describe exactly the propagator of
two bosons in various cases, including the “cross-ladder” approximation.
Keywords: Light Front, Boson, Cross-Lader