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Nonlinear boundary dynamics and chiral symmetry in holographic QCD

Dylan Albrecht1, Joshua Erlich1, and Ronald J. Wilcox2

  • 1High Energy Theory Group, Department of Physics, College of William and Mary, Williamsburg, Virginia 23187-8795, USA
  • 2Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

Phys. Rev. D 85, 114012 – Published 7 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.114012

Abstract

In a hard-wall model of holographic QCD, we find that nonlinear boundary dynamics are required in order to maintain the correct pattern of explicit and spontaneous chiral symmetry breaking beyond leading order in the pion fields. With the help of a field redefinition, we relate the requisite nonlinear boundary conditions to a standard Sturm-Liouville system. Observables insensitive to the chiral limit receive only small corrections in the improved description, and classical calculations in the hard-wall model remain surprisingly accurate.

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