Can I read Self-consistent O(4) on EtoBox?

Self-consistent O(4) by Christopher Jung; Jan-Hendrik Otto; Ralf-Arno Tripolt; Lorenz von Smekal is a Physics and Astronomy article available to read on EtoBox.

What is Self-consistent O(4) about?

In this paper we explore practicable ways for self-consistent calculations of spectral functions from analytically continued functional renormalization group (aFRG) flow equations. As a particularly straightforward one we propose to include parametrizations of self-energies based on explicit analytic one-loop expressions. To exemplify this scheme we calculate the spectral functions of pion and sigma meson of the Oð4Þ model at vanishing temperature in the broken phase. Comparing the results with those from previous aFRG calculations, we explicitly demonstrate how self-consistency at all momenta fixes the tight relation between particle masses and decay thresholds. In addition, the two-point functions from our new semianalytic FRG scheme have the desired domain of holomorphy built in and can readily be studied in the entire cutcomplex frequency plane, on physical as well as other Riemann sheets. This is very illustrative and allows, for example, to trace the flow of the resonance pole of the sigma meson across an unphysical sheet. In order to assess the limitations due to the underlying one-loop structure, we also introduce a fully self-consistent numerical scheme based on spectral r

Who reads Self-consistent O(4)?

Author

Christopher Jung; Jan-Hendrik Otto; Ralf-Arno Tripolt; Lorenz von Smekal

Publisher

American Physical Society (APS)

Published

2021

Language

EN

Field

Physics and Astronomy (Physical Sciences)