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Volume 256 - 34th annual International Symposium on Lattice Field Theory (LATTICE2016) - Physics Beyond the Standard Model
Effective action for pions and a dilatonic meson
M. Golterman, Y. Shamir*
*corresponding author
Full text: pdf
Pre-published on: 2016 December 27
Published on: 2017 March 24

Numerical simulations of QCD-like theories which are chirally broken but exhibit a very small beta function reveal a flavor-singlet scalar, or ``dilatonic meson,'' which is much lighter than any other states except pions. We develop a systematic low-energy expansion for the pions and the dilatonic meson, in which the presence of the latter is attributed to an approximate scale symmetry. In order to justify the power counting we invoke the Veneziano limit, in which the number of flavors $N_f$ in the fundamental representation grows in proportion with the number of colors $N_c$, while the ratio $N_f/N_c$ is kept close to, but below, the critical value where the conformal window is entered.
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