Bridging the Chiral symmetry and Confinement with Singularity
30 Apr 2020
•
Choun Yoon-Seok
•
Sin Sang-Jin
We consider a holographic quark model where the confinement is a consequence
of the quark condensate. Surprisingly, the equation of motion of our
holographic model can be mapped to the old spin-less bag model...Both models
correctly reproduce the linear Regge trajectory of hadrons for zero quark mass. For the case of non-zero quark mass, the model lead us to Heun's equation. The
mass term is precisely the origin of the higher singularity, which changes the
system behavior drastically. Our result can shed some light on why the chiral
transition is so close to the confinement transition. In the massive case, the
Schroedinger equation is exactly solvable, but only if a surprising new
quantization condition, additional to the energy quantization, is applied.(read more)