Year: 2017
Type: article
Abstract: Recently, we developed an effective theory of pions and a light dilatonic meson for gauge theories with spontaneously broken chiral symmetry that are close to the conformal window. The pion mass term in this effective theory depends on an exponent $y$. We derive the transformation properties under dilatations of the renormalized fermion mass and use this to rederive $y=3\ensuremath{-}{\ensuremath{\gamma}}_{m}^{*}$, where ${\ensuremath{\gamma}}_{m}^{*}$ is the fixed-point value of the mass anomalous dimension at the sill of the conformal window. This value for $y$ is consistent with the trace anomaly of the underlying near-conformal gauge theory.
Authors: Maarten Golterman, Yigal Shamir
Institutions: San Francisco State University, Tel Aviv University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2582322786