Journal article

Publication year: 2023

Journal: Symmetry

Volume number: 15

Issue number: 2

eISSN: 2073-8994

Open access status: Gold

DOI Link: https://doi.org/10.3390/sym15020414

Publisher: MDPI

Abstract: 
The analytic structure of elementary correlation functions of a quantum field is relevant for the calculation of masses of bound states and their time-like properties in general. In quantum chromodynamics, the calculation of correlation functions for purely space-like momenta has reached a high level of sophistication, but the calculation at time-like momenta requires refined methods. One of them is the contour deformation method. Here we describe how to employ it for three-point functions. The basic mechanisms are discussed for a scalar theory, but they are the same for more complicated theories and are thus relevant, e.g., for the three-gluon or quark-gluon vertices of quantum chromodynamics. Their inclusion in existing truncation schemes is a crucial step for investigating the analytic structure of elementary correlation functions of quantum chromodynamics and the calculation of its spectrum from them.

Harvard Citation style: Huber, M., Kern, W. and Alkofer, R. (2023) How to Determine the Branch Points of Correlation Functions in Euclidean Space II: Three-Point Functions, Symmetry, 15(2), Article 414. https://doi.org/10.3390/sym15020414

APA Citation style: Huber, M., Kern, W., & Alkofer, R. (2023). How to Determine the Branch Points of Correlation Functions in Euclidean Space II: Three-Point Functions. Symmetry. 15(2), Article 414. https://doi.org/10.3390/sym15020414