Conformal Theories with an IR cutoff
Abstract
We give a new perspective on the dynamics of conformal theories realized in the SU(N) gauge theory, when the number of flavors N_f is within the conformal window. Motivated by the RG argument on conformal theories with a finite IR cutoff \Lambda_{IR}, we conjecture that 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.
Cite
@article{arxiv.1301.4785,
title = {Conformal Theories with an IR cutoff},
author = {K. -I. Ishikawa and Y. Iwasaki and Yu Nakayama and T. Yoshie},
journal= {arXiv preprint arXiv:1301.4785},
year = {2015}
}
Comments
4 pages, 4 figures; minor modifications as published