Holographic two dimensional QCD and Chern-Simons term

Abstract

We present a holographic realization of large Nc massless QCD in two dimensions using a D2/D8 brane construction. The flavor axial anomaly is dual to a three dimensional Chern-Simons term which turns out to be of leading order, and it affects the meson spectrum and holographic renormalization in crucial ways. The massless flavor bosons that exist in the spectrum are found to decouple from the heavier mesons, in agreement with the general lore of non-Abelian bosonization. We also show that an external dynamical photon acquires a mass through the three dimensional Chern-Simons term as expected from the Schwinger mechanism. Massless two dimensional QCD at large Nc exhibits anti-vector-meson dominance due to the axial anomaly.

22 pages

References in corpus (16)

• Low energy hadron physics in holographic QCD
• QCD and a Holographic Model of Hadrons
• Chiral symmetry breaking from five dimensional spaces
• Exploring improved holographic theories for QCD: Part I
• Bosonization and QCD in Two Dimensions
• Chiral Magnetic Spiral
• Chiral anomalies and AdS/CMT in two dimensions
• Stringy NJL and Gross-Neveu models at finite density and temperature
• One-dimensional holographic superconductor from AdS_3/CFT_2 correspondence
• Fundamental matter, meson spectroscopy and non-critical string/gauge duality
• A holographic quantum Hall model at integer filling
• Holographic quantum liquids in 1+1 dimensions
• NGN, QCD_2 and chiral phase transition from string theory
• Large-N limits of 2d CFTs, Quivers and AdS_3 duals
• Holographic aspects of three dimensional QCD from string theory
• The 't Hooft Model As A Hologram

Cited by in corpus (11)

• Holographic Gravitational Anomaly and Chiral Vortical Effect
• Holographic applications of logarithmic conformal field theories
• A (1+1) dimensional example of Quarkyonic matter
• Boundary Conditions and Unitarity: the Maxwell-Chern-Simons System in AdS_3/CFT_2
• Detecting the critical point through entanglement in Schwinger model
• From Maxwell-Chern-Simons theory in $Ad{S}_3$ towards hydrodynamics in 1+1 dimensions
• 1+1-dimensional p-wave superconductors from intersecting D-branes
• Holographic Chern-Simons Defects
• Flavored extended instanton in QCD
• Anomaly matching condition in two-dimensional systems
• 1+1 Large $N_c$ QCD and its Holographic Dual -Soliton Picture of Baryons in Single-Flavor World