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Spectral functions of confined particles
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We determine the gluon and ghost spectral functions along with the analytic structure of the associated propagators from numerical data describing gauge correlators at space-like momenta obtained by either solving the Dyson-Schwinger equations or through lattice simulations. Our novel reconstruction technique shows the expected branch cut for the gluon and the ghost propagator, which, in the gluon case, is supplemented with a pair of complex conjugate poles. Possible implications of the existence of these poles are briefly addressed.
Forward citations
Cited by 4 Pith papers
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The causal structure of the quark propagator
In a spectral DSE computation, the quark propagator develops complex-conjugate poles when the classical quark-gluon vertex strength exceeds a critical value, while the full QCD strength is predicted to stay below that value.
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The gluon mass gap, defined as the complex pole of the gluon propagator, is linearly tied to the deconfinement temperature, and both Tc and fπ are insensitive to deep-infrared deformations below the infrared inflection point.
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The setting sun diagram with complex external momenta
Direct evaluation of the d=2 setting sun diagram with a priori complex external momenta disagrees with the Kallen-Lehmann spectral continuation, so complex momenta should be inserted only after performing the integral.
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A beginner's guide to functional methods in particle physics
A pedagogical review showing how Dyson-Schwinger, 3PI, and Bethe-Salpeter equations can be chained together to compute glueball masses in pure Yang-Mills theory, matching lattice QCD.
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