A beginner's guide to functional methods in particle physics
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Functional methods like Dyson-Schwinger equations, the $n$PI effective action formalism, bound state equations and the functional renormalization group are versatile tools to study quantum field theories. They are exact, nonperturbative equations but have to be truncated for practical calculations. After a general introduction, I focus on their use in particle physics and discuss common truncations and solution techniques. The complete process from choosing a truncation to calculating observable quantities is exemplified by means of the glueball spectrum.
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Cited by 3 Pith papers
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Quark-gluon vertex in the complex plane
The nonperturbative quark-gluon vertex is mapped for the first time in the complex plane, yielding all eight form factors inside a parabolic domain bounded by the first singularity.
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Light mesons in the symmetric-vertex approximation
A dressed quark-gluon vertex computed in the symmetric approximation yields light-meson masses that match experiment more closely than rainbow-ladder results.
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No planar degeneracy for the Landau gauge quark-gluon vertex
The transverse quark-gluon vertex in Landau gauge QCD shows weak but non-negligible angular dependence with no planar degeneracy; the dynamically generated tensor coupling is the core driver of dynamical chiral symmet...
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