On Solving a Non-Linear Equation for the Quark Condensate Operator in Holographic QCD

Document Type : Research Article

Author

Institute for Physical Problems, Baku State University, Z.Khalilov 23, Baku, AZ 1148, Azerbaijan; Institute of Physics, Ministry of Science and Education, H.Javid 33, Baku, AZ 1143, Azerbaijan; Center for Theoretical Physics, Khazar University, 41 Mehseti Str., Baku, AZ1096, Azerbaijan

Abstract

We investigate the non-linear structure of an equation arising in the holographic description of strongly coupled QCD. Within the framework of the AdS/QCD correspondence, we analyze the equation of motion for a bulk scalar dual to the quark condensate operator. We present both analytical approximations and numerical solutions, and discuss their implications for chiral symmetry breaking and meson spectra. Our results highlight the importance of non-linearities in capturing dynamical features beyond the probe approximation.

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Analytical and Numerical Solutions for Nonlinear Equations
Volume 10, Issue 2
December 2025
Pages 153-161

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History

  • Receive Date: 17 November 2025
  • Accept Date: 17 December 2025
  • Publish Date: 30 December 2025

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