MasterFunctions

This is a Wolfram Language package used in most of my scattering amplitude computations. Many of the functions related to graph generation, graph isomorphisms, pure YM Feynman rules, momentum conservation, relabeling, as well as many of the structure definitions are thanks to Tristan Dennen. Much of this code builds off of his great foundation. Many thanks to Tristan Dennen, Scott Davies and Zvi Bern for code and/or the physical insights therein.

A file with examples is also provided. These examples include basic calculations as well as the verification of results presented in arXiv: 1309.7416 and arXiv: 1510.03448. These verifications demonstrate the use of many analytical and numerical tools in the package.

Some functions are cleaner and more elegant than others. That being said, most functions have been verified to reproduce known results in a variety of different ways. I am sure there are bugs as well as scenarios in which some functions will fail. Most functions were developed with specific applications in mind. Please feel free to contact me with any questions!

Notes:

• The aux subdirectory stores previously generated results for later retrieval.
• Be sure to set the variable MASTERFUNCTIONSDIRECTORY in the Public Initializations section of MasterFunctions.m to the appropriate directory.
• The function MonsterSolve2 has been removed since it is a proprietary function. This should only affect color information generation if the result hasn't already been saved. Contact me for more information.