Work

Constructing Concrete Colour Tensors for Simple Lie Algebras

Year: 2026

Type: preprint

Abstract: We describe the implementation and use of colour_tensors: a Mathematica package built for the concrete construction of explicit colour tensors involving arbitrarily charged particles in any gauge theory. These can be used to directly determine linear relations among colour tensors and compute a number of otherwise difficult, representation-theoretic quantities relevant to scattering amplitudes such as colour-interference between partial amplitudes.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.13365

Authors: Bourjaily, Jacob L., Plesser, Michael, Velie, Philip

Institutions: Pennsylvania State University, Institute for Advanced Study

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, U.S. Department of Energy, Aspen Center for Physics

Awards: G2595738051, G436094658, G638484911, Programs on Critical Problems in Physics, Astrophysics and Biophysics at the Aspen Center for Physics

OpenAlex ID: W7213259113

Cites: 28

Cited by:

Related to: 10