18-23 March 2018
Florianopolis, Brazil
America/Sao_Paulo timezone

Integral representation and Minkowski space bound state problems

20 Mar 2018, 15:00
20m
Florianopolis, Brazil

Florianopolis, Brazil

Seminar

Speaker

Tobias Frederico (Instituto Tecnologico de Aeronautica)

Description

The bound state Bethe-Salpeter amplitude described by a Nakanishi two-dimensional integral representation has a smooth weight function g, which carries the detailed dynamical information. The Light-front wave function can be derived and is given by a one-dimensional, integral representation with the same weight function g. By using the generalized Stieltjes transform, g can be written in terms of the Light-Front wave function in the complex plane of its arguments. Also a new integral equation for g is derived for a bound state case. We found a prescription for obtaining the kernel N starting with the kernel K of the Bethe-Salpeter equation, and the method is valid for any kernel given by an irreducible Feynman amplitude. We briefly discuss a possible application in hadronic physics, where from the Light-front wave function one obtains the Nakanishi weight function and the associated Bethe-Salpeter amplitude.

Primary authors

Jaume Carbonell (CNRS) Tobias Frederico (Instituto Tecnologico de Aeronautica) Vladimir Karmanov (Lebedev Physical Institute of Russian Academy of Sciences)

Presentation Materials

Your browser is out of date!

Update your browser to view this website correctly. Update my browser now

×