10–12 Sept 2019
E10.B
Europe/Lisbon timezone

Solutions of DSE in Minkowski space via Nakanishi Integral Representation

11 Sept 2019, 16:40
50m
E10.B

E10.B

Department of Physics University of Coimbra Portugal
Posters Posters

Speaker

Wayne de Paula (Instituto Tecnologico de Aeronautica)

Description

An important tool to deal with the formulation in Minkowski space is the Integral
Representation (IR) proposed by Nakanishi.
In this work, we use the IR to obtain a solution of the Dyson-Schwinger equation directly in Minkowski space, and compare with a solution in a rotated axis from the Euclidean axis, what we call ``Un-Wick rotation''. To this end we must find the relation between the fermion propagator self energy and the spectral densities, together with the DSE in the rainbow-approximation.
We solve the DSE in the rainbow ladder approximation for massive gauge boson, written for the spectral densities in arbitrary gauges with undressed gauge-boson-fermion vertex in the Minkowski space by using the Nakanishi Integral Representation.

Authors

Dr D Duarte (Instituto Tecnologico de Aeronautica) Dr J Shaoyang (Iowa State University) Dr E Ydrefors (Instituto Tecnologico de Aeronautica) Wayne de Paula (Instituto Tecnologico de Aeronautica) Tobias Frederico (Instituto Tecnologico de Aeronautica) Pieter Maris (Iowa State University)

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