A Lorentzian Gribov no-pole condition is defined as the absence of source-free solutions to the Faddeev-Popov wave equation obeying the Feynman boundary condition, equivalent to injectivity of the negative-frequency ghost scattering map for localized backgrounds and a functional determinant restrict
Variational solution of the Yang-Mills Schr\"odinger equation in Coulomb gauge
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abstract
The Yang-Mills Schr\"odinger equation is solved in Coulomb gauge for the vacuum by the variational principle using an ansatz for the wave functional, which is strongly peaked at the Gribov horizon. A coupled set of Schwinger-Dyson equations for the gluon and ghost propagators in the Yang-Mills vacuum as well as for the curvature of gauge orbit space is derived and solved in one-loop approximation. We find an infrared suppressed gluon propagator, an infrared singular ghost propagator and a almost linearly rising confinement potential.
representative citing papers
A variational neural network ansatz approximates the ground-state wavefunctional of the free Klein-Gordon theory in momentum-space field basis and is validated against exact analytic observables.
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A Lorentzian Gribov no-pole condition for Yang-Mills theory
A Lorentzian Gribov no-pole condition is defined as the absence of source-free solutions to the Faddeev-Popov wave equation obeying the Feynman boundary condition, equivalent to injectivity of the negative-frequency ghost scattering map for localized backgrounds and a functional determinant restrict
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Variational Neural Network Approach to QFT in the Field Basis
A variational neural network ansatz approximates the ground-state wavefunctional of the free Klein-Gordon theory in momentum-space field basis and is validated against exact analytic observables.