Lattice field theory beyond QCD Liam Keegan November 2013 CERN - PowerPoint PPT Presentation

Lattice field theory beyond QCD Liam Keegan November 2013 CERN Theory Group Retreat, Les Houches.

Introduction Fundamental Antisymmetric I Perturbative phase Symmetric diagram of SU(N) Adjoint gauge theories with N f fermions MWTC I Shaded region shows conformal window I Can be very di ff erent to QCD [arXiv:hep-ph/0611341]

RG flows in mass-deformed CFT g I Flow from UV to IR I Finite mass drives us away IRFP from FP in the IR I Interested in intermediate blue region 1 L ⌧ m ⌧ blue ⌧ 1 I a UVFP m

Large N Twisted Volume Reduction p Twisted reduction: ˆ Lattice field theory: L ! N L 4 points, lattice spacing I ˆ I Single site lattice, lattice a spacing a I Physical volume I Physical volume p L 4 = (ˆ L 4 = ( La ) 4 Na ) 4 I UV cut–o ff : 1 / a I UV cut–o ff : 1 / a p I IR cut–o ff : 1 / L I IR cut–o ff : 1 / N

Mass Anomalous Dimension at IRFP γ ⇤ γ vs (a Ω IR ) 2 , N=289,b=0.35,0.36, κ =0.16 I SU(N) + 2 adjoint 1 N=289, b=0.35 N=289, b=0.36 Dirac fermions SU(2) Patella [1204.4432] 0.8 I γ ∗ determined from fit to the Dirac 0.6 mode number γ I data points: 0.4 SU(N) with N=289 0.2 (single site) I dotted line: 0 0 0.1 0.2 0.3 0.4 0.5 SU(2) (32 4 lattice) (a Ω IR ) 2 [Patella 1204.4432] [Margarita Garc´ ıa Per´ ez, Antonio Gonz´ alez-Arroyo, Masanori Okawa]