Work

Bootstrap bound for conformal multi-flavor QCD on lattice

Year: 2016

Type: article

Abstract: The recent work by Iha et al. shows an upper bound on mass anomalous dimension γ m of multi-flavor massless QCD at the renormalization group fixed point from the conformal bootstrap in SU(N F ) V symmetric conformal field theories under the assumption that the fixed point is realizable with the lattice regularization based on staggered fermions. We show that the almost identical but slightly stronger bound applies to the regularization based on Wilson fermions (or domain wall fermions) by studying the conformal bootstrap in SU(N f ) L × SU(N f ) R symmetric conformal field theories. For N f = 8, our bound implies γ m < 1.31 to avoid dangerously irrelevant operators that are not compatible with the lattice symmetry.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep07(2016)038

Author: Yu Nakayama

Institutions: Rikkyo University, Kavli Institute for the Physics and Mathematics of the Universe, The University of Tokyo

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2392397838

FWCI: 2.43

Cites: 31

Cited by: 32

Related to: 10