A solution of 2D QCD at Finite $N$ using a conformal basis

Abstract

We study 2D QCD with a fundamental fermion at small-$N$ using the recently proposed conformal basis approach. We find that effective conformal dominance still holds, namely that the spectrum converges efficiently, with high scaling-dimension operators decoupling exponentially quickly from the stable single-particle states. Consequently, for these stable bound states, accurate, analytic expressions for wavefunctions and parton distribution functions can be given, even for $N=3$.

18 pages, 5 figures

References in corpus (2)

• The renormalisation group for the truncated conformal space approach on the cylinder
• Decoupling of High Dimension Operators from the Low Energy Sector in Holographic Models

Cited by in corpus (4)

• NLO Renormalization in the Hamiltonian Truncation
• High-Precision Calculations in Strongly Coupled Quantum Field Theory with Next-to-Leading-Order Renormalized Hamiltonian Truncation
• Introduction to Lightcone Conformal Truncation: QFT Dynamics from CFT Data
• Chiral Limit of 2d QCD Revisited with Lightcone Conformal Truncation