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In 1985, G\"ursey showed that the spectrum of the semi-relativisticHamiltonian for the bag model, introduced by Lichtenberg et al. for mesons,follows the Regge trajectory if the current quark mass is negligible. The modelleads to the biconfluent Heun equation, which is a second-order linear ordinarydifferential equation (ODE) with a regular singularity at the origin and anirregular singularity at infinity.  Based on rigorous mathematical computation, it is concluded that the energyspectrum is consistent with the Regge trajectory only when the quark massvanishes. From this result, we suggest that the chiral symmetry is aconsequence of confinement dynamics.

Inexistence of quark mass in chiral symmetry and its relation to confinement dynamics