Perturbative Renormalisations for N=1 Super Yang-Mills theory for Wilson, tree-level Symanzik and Iwasaki gauge actions

This dataset provides symbolic expressions for MSbar renormalization constants (Z factors) for multiple lattice gauge actions, distributed as a Wolfram Language / Mathematica .m file (ZfactorSYM.m). The file defines expressions for Z factors of the form ZlambdaMSbar*, ZuMSbar*, ZcMSbar*, and ZgMSbar* for the Wilson, tree-level Symanzik, and Iwasaki gauge actions.

Field labels:

• λ (lambda): gluino field

• u: gluon field

• c: ghost field

• g: coupling constant

The file includes:

• ZlambdaMSbarWILSON, ZlambdaMSbarTLSYMANZIK, ZlambdaMSbarIWASAKI

• ZuMSbarWILSON, ZuMSbarTLSYMANZIK, ZuMSbarIWASAKI

• ZcMSbarWILSON, ZcMSbarTLSYMANZIK, ZcMSbarIWASAKI

• ZgMSbarWILSON, ZgMSbarTLSYMANZIK, ZgMSbarIWASAKI

Variables / symbols used in the file:

• g: coupling constant

• Nc: number of colors

• beta: gauge parameter

• csw: clover parameter

• r: Wilson parameter

• wA: stout parameter

• mubar: MSbar renormalization scale

• pisq16: 16 Pi^2

Usage (Mathematica / Wolfram Language):

Then evaluate the desired symbol and substitute parameter values as needed. For example: