Perturbative Renormalisations for N=1 Super Yang-Mills theory for Wilson, tree-level Symanzik and Iwasaki gauge actions
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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): Get["ZfactorSYM.m"]; Then evaluate the desired symbol and substitute parameter values as needed. For example: Get["ZfactorSYM.m"];params = {Nc -> 3, beta -> 0, csw -> 1, r -> 1, wA -> 0, pisq16 -> 16 Pi^2, mubar -> 1};ZlambdaMSbarWILSON /. params



