At criticality in the adjoint sector of matrix quantum mechanics, the spectrum exhibits Regge trajectories Δ² ~ n/α' interpreted as oscillatory excitations of short folded open strings in the dual 2D string theory.
The quark mass dependence of the pion mass at infinite N
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abstract
In planar QCD, in two space time dimensions, the meson eigenvalue equation has a nonlocal structure interpretable as resulting from hidden degrees of freedom. The nonlocality can be reconstructed from the functional form of the pion mass dependence on quark mass within an expansion starting from a special one dimensional Schroedinger problem. The one dimensional problem makes the pion mass depend on the quark mass through a simple quadratic relation which is shown to be compatible also with numerical data obtained in four dimensions.
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Regge trajectories from the adjoint sector of Matrix Quantum Mechanics
At criticality in the adjoint sector of matrix quantum mechanics, the spectrum exhibits Regge trajectories Δ² ~ n/α' interpreted as oscillatory excitations of short folded open strings in the dual 2D string theory.