English

SU(4) lattice gauge theory with decuplet fermions: Schr\"odinger functional analysis

High Energy Physics - Lattice 2013-05-30 v1 High Energy Physics - Phenomenology

Abstract

We complete a program of study of SU(N) gauge theories coupled to two flavors of fermions in the two-index symmetric representation by performing numerical simulations in SU(4). The beta function, defined and calculated via the Schr\"odinger functional, runs more slowly than the two-loop perturbative result. The mass anomalous dimension levels off in strong coupling at a value of about 0.45, rendering this theory unsuitable for walking technicolor. A large-N comparison of this data with results from SU(2) and SU(3) reveals striking regularities.

Keywords

Cite

@article{arxiv.1202.2675,
  title  = {SU(4) lattice gauge theory with decuplet fermions: Schr\"odinger functional analysis},
  author = {Thomas DeGrand and Yigal Shamir and Benjamin Svetitsky},
  journal= {arXiv preprint arXiv:1202.2675},
  year   = {2013}
}

Comments

15 pages, 15 figures