1301.4785 (K. -I. Ishikawa et al.)

Conformal Theories with IR cutoff    [PDF]

K. -I. Ishikawa, Y. Iwasaki, Yu Nakayama, T. Yoshie

Motivated by the RG argument on conformal theories with a finite IR cutoff \Lambda_{IR}, we conjecture that when the number of flavors N_f is within the conformal window in the SU(N) gauge theory, the propagator of a meson G_H(t) on a lattice behaves at large t as a power-law corrected Yukawa-type decaying form G_H(t) = c_H \exp{(-m_H t)}/t^{\alpha_H} instead of the exponentially decaying form c_H \exp{(-m_H t)}, in the small quark mass region where m_H \le c \Lambda_{IR}: m_H is the mass of the ground state hadron in the channel H and c is a constant of order 1. The transition between the "conformal region" and the "confining region" is a first order transition. Our numerical results verify the predictions for the N_f=7 case and the N_f=16 case in the SU(3) gauge theory with the fundamental representation.

View original: http://arxiv.org/abs/1301.4785