2015年11月6日

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

• Cynthia Y
• ,
• H. Huang
• ,
• Issaku Kanamori
• ,
• C. -J
• ,
• David Lin
• ,
• Kenji Ogawa
• ,
• Hiroshi Ohki
• ,
• Alberto Ramos
• ,
• Enrico Rinaldi

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

リンク情報
arXiv
http://arxiv.org/abs/arXiv:1511.01968
URL
http://arxiv.org/abs/1511.01968v1