Abstract
We review dilaton chiral perturbation theory (dChPT), the effective low-energy theory for the light sector of near-conformal, confining theories. dChPT provides a systematic expansion in both the fermion mass and the distance to the conformal window. It accounts for the pions and the light scalar, the approximate Nambu–Goldstone bosons for chiral and scale symmetry, respectively. A unique feature of dChPT is the existence of a large-mass regime in which the theory exhibits approximate hyperscaling, while the expansion nevertheless remains systematic. We discuss applications to lattice data, presenting successes as well as directions for future work.
Highlights
We identified a “large-mass regime” in dilaton Chiral Perturbation Theory (dChPT) that has no equivalent in ordinary ChPT
We found that current simulations of the N f = 8, SU(3)
Reaching the chiral limit from the data of Refs. [2, 3] requires a very long extrapolation. This extrapolation appears to be very sensitive to the mass range used in the fits, as well as to higher orders in dChPT
Summary
[3] by the LatKMI collaboration for the same theory, and in the SU(3) theory with two sextet fermions by the LatHC collaboration [4, 5], or with four light and six [6] or eight [7] heavy fundamental fermions. In this talk, we will discuss to what extent these data are decribed by tree-level dilaton Chiral Perturbation Theory (dChPT). We conclude with a brief discussion of what might be
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