Speaker
Prof.
C.-J. David Lin
(National Chiao-Tung University)
Description
We present results from our study of SU(2) gauge theory with eight flavours, and SU(3) gauge theory with twelve flavours. These two theories may be very close to the lower ends of the conformal windows for the SU(2) and SU(3) gauge groups, respectively, when only the fundamental-representation fermions are present. For the SU(2) theory with eight flavours, we report our investigation for the distribution of the lowest-lying eigenvalues of the Dirac operator. In particular, we compare our numerical results with predictions from Random Matrix Theory and extract the chiral condensate. As for the SU(3) theory with twelve flavours, we show our final analysis for the Gradient-Flow running coupling constant using the step-scaling method. In this presentation, we demonstrate our detailed study of the continuum extrapolation in the step-scaling approach, and comment on the challenges in such computations.
Primary authors
Dr
Alberto Ramos
(CERN)
Prof.
C.-J. David Lin
(National Chiao-Tung University)
Ms
Cynthia Y.-H. Huang
(National Chiao-Tung University)
Dr
Eigo Shintani
(Johannes Gutenberg-Universitat Mainz)
Dr
Enrico Rinaldi
(LLNL)
Dr
Hiroshi Ohki
(RIKEN)
Dr
Issaku Kanamori
(National Chiao-Tung University)
Dr
Kenji Ogawa
(National Chiao-Tung University)
