Eight dimensional QCD at one loop
Abstract
The Lagrangian for a nonAbelian gauge theory with an S U (N_{c}) symmetry and a linear covariant gauge fixing is constructed in eight dimensions. The renormalization group functions are computed at one loop with the special cases of N_{c}=2 and 3 treated separately. By computing the critical exponents derived from these in the large N_{f} expansion at the WilsonFisher fixed point it is shown that the Lagrangian is in the same universality class as the two dimensional nonAbelian Thirring model and quantum chromodynamics (QCD). As the eight dimensional Lagrangian contains new quartic gluon operators not present in four dimensional QCD, we compute in parallel the mixing matrix of four dimensional dimension 8 operators in pure YangMills theory.
 Publication:

Physical Review D
 Pub Date:
 January 2018
 DOI:
 10.1103/PhysRevD.97.025009
 arXiv:
 arXiv:1712.02565
 Bibcode:
 2018PhRvD..97b5009G
 Keywords:

 High Energy Physics  Theory
 EPrint:
 31 latex pages, anc directory now added which contains txt file of all renormalization group functions