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
Equivalence between Zwanziger's horizon function and Gribov's no-pole ghost form factor
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abstract
The ghost form factor entering the Gribov no-pole condition is evaluated till the third order in the gauge fields. The resulting expression turns out to coincide with Zwanziger's horizon function implementing the restriction to the Gribov region in the functional integral.
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2026 1verdicts
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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