Lattice study for conformal windows of SU(2) and SU(3) gauge theories with fundamental fermions

Cynthia Y.H. Huang, Issaku Kanamori, Chi-Jen Lin, Kenji Ogawa, Hiroshi Ohki, Alberto Ramos, Enrico Rinaldi

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations

Abstract

We present our investigation of SU(2) gauge theory with 8 flavours, and SU(3) gauge theory with 12 flavours. For the SU(2) case, at strong bare coupling, β ≲ 1.45, the distribution of the lowest eigenvalue of the Dirac operator can be described by chiral random matrix theory for the Gaussian symplectic ensemble. Our preliminary result indicates that the chiral phase transition in this theory is of bulk nature. For the SU(3) theory, we use high-precision lattice data to perform the step-scaling study of the coupling, g GF , in the Gradient Flow scheme. We carefully examine the reliability of the continuum extrapolation in the analysis, and conclude that the scaling behaviour of this SU(3) theory is not governed by possible infrared conformality at g 2 /GF ≲ 6.

Original languageEnglish
Article number224
JournalProceedings of Science
Volume14-18-July-2015
DOIs
StatePublished - 1 Jan 2015
Event33rd International Symposium on Lattice Field Theory, LATTICE 2015 - Kobe, Japan
Duration: 14 Jul 201518 Jul 2015

Fingerprint Dive into the research topics of 'Lattice study for conformal windows of SU(2) and SU(3) gauge theories with fundamental fermions'. Together they form a unique fingerprint.

Cite this