Reaching the chiral limit in many flavor systems

Hasenfratz, Anna, Cheng, Anqi, Petropoulos, Gregory and Schaich, David (2013) Reaching the chiral limit in many flavor systems. In: Proceedings of KMI-GCOE Workshop.

Text 1303.7129v1.pdf - Author Accepted Manuscript Download (1MB) | Preview

Abstract

We present a brief overview of our recent lattice studies of SU(3) gauge theory with N_f = 8 and 12 fundamental fermions, including some new and yet-unpublished results. To explore relatively unfamiliar systems beyond lattice QCD, we carry out a wide variety of investigations with the goal of synthesizing the results to better understand the non-perturbative dynamics of these systems. All our findings are consistent with conformal infrared dynamics in the 12-flavor system, but with 8 flavors we observe puzzling behavior that requires further investigation. Our new Monte Carlo renormalization group technique exploits the Wilson flow to obtain more direct predictions of a 12-flavor IR fixed point. Studies of N_f = 12 bulk and finite-temperature transitions also indicate IR conformality, while our current results for the 8-flavor phase diagram do not yet provide clear signs of spontaneous chiral symmetry breaking. From the Dirac eigenvalue spectrum we extract the mass anomalous dimension gamma_m, and predict gamma*_m = 0.32(3) at the 12-flavor fixed point. The N_f = 8 system again shows interesting behavior, with a large anomalous dimension across a wide range of energy scales. We use the eigenvalue density to predict the chiral condensate, and compare this approach with direct and partially-quenched measurements.

Item Type:	Conference or Workshop Item (Unspecified)
Additional Information:	7 pages, 5 figures; Contribution to SCGT12 "KMI-GCOE Workshop on Strong Coupling Gauge Theories in the LHC Perspective", 4-7 Dec. 2012, Nagoya University
Uncontrolled Keywords:	hep-lat, hep-lat
Depositing User:	Symplectic Admin
Date Deposited:	13 Mar 2020 14:35
Last Modified:	18 Jan 2023 23:57
DOI:	10.1142/9789814566254_0004
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3078897