22-27 March 2015
Hotel do Bosque
Brazil/East timezone

## Bethe-Salpeter equation in 2+1 dimensions for the bound state of two bosons in Minkowski space

Not scheduled
3h 30m
Hotel do Bosque

#### Hotel do Bosque

Rodovia Mário Covas (Rio-Santos) BR - 101 Sul, Km 533, Angra dos Reis, RJ, Brazil
Poster Field theoretical approaches to QCD

### Speaker

Dr Vitor Gigante (ITA)

### Description

In this work, the Nakanishi perturbative integral representation is, for the first time, used to numerically solve the problem of relativistic bound state of two bosons in 2 + 1 dimensions in space Minkowski. The Nakanishi perturbative integral representation of the Bethe-Salpeter amplitude in three (2+1) dimensions is used in order to obtain the spectrum and structure of bound states, solutions of the homogeneous Bethe-Salpeter Equation, in Minkowski space. The projection onto the light-front of the three dimensional homogeneous Bethe-Salpeter Equation is used to derive an integral equation for the Nakanishi weight function for bound states. The formal development is presented in detail and applied in the study of the bound system, composed by two massive scalars interacting through the exchange of a massive scalar. A quantitative study of the bound-state solutions of the Bethe-Salpeter equation in 2+1 dimensions is performed by solving numerically the integral equation for the nakanishi weight function. The method was validated quantitatively by comparing our results with calculations of the Euclidian Bethe-Salpeter equation.

### Co-author

Prof. Tobias Frederico (ITA)

### Presentation Materials

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