Spectral dimension as a tool for analyzing non-perturbative propagators
arXiv:1909.12207 · doi:10.1103/PhysRevD.100.094037
Abstract
We derive general properties of the scale-dependent effective spectral dimensions of non-perturbative gauge boson propagators as they appear as solutions from different methods in Yang-Mills theories. In the ultraviolet and for short time scales the anomalous dimensions of the propagators lead to a slight decrease of the spectral dimension as compared to the one of a free propagator. Lowering the momentum scale, the spectral dimension decreases further. The class of propagators which display a maximum at Euclidean momenta, and thus violate positivity, always approaches a spectral dimension of one for large times. We also show that the longest time intervals are not related to the deep infrared but to the momentum scale defined by the position of the maximum.
arXiv comment12 pages, 8 figures; v2: added proofs in App. C, agrees with published version
References in corpus (57)
- The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
- A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
- Spectral Dimension of the Universe
- Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
- Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
- On the infrared behavior of Landau gauge Yang-Mills theory
- The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
- Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
- A Solution to Coupled Dyson-Schwinger Equations for Gluons and Ghosts in Landau Gauge
- Non-perturbative Propagators, Running Coupling and Dynamical Quark Mass of Landau gauge QCD
- Fractal Spacetime Structure in Asymptotically Safe Gravity
- Analytic properties of the Landau gauge gluon and quark propagators
- Landau gauge Yang-Mills correlation functions
- Non-perturbative quark, gluon and meson correlators of unquenched QCD
- Gauge bosons at zero and finite temperature
- Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
- Light mesons in QCD and unquenching effects from the 3PI effective action
- Infrared Exponents and Running Coupling of SU(N) Yang-Mills Theories
- Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory
- Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
- Analytic structure of the Landau gauge gluon propagator
- The three-gluon vertex in Landau gauge
- Gluonic three-point correlations in pure Landau gauge QCD
- The Elusiveness of Infrared Critical Exponents in Landau Gauge Yang--Mills Theories
- The dynamical origin of the refinement of the Gribov-Zwanziger theory
- Three-point correlation functions in Yang-Mills theory
- Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II
- IR finiteness of the ghost dressing function from numerical resolution of the ghost SD equation
- Dimension and Dimensional Reduction in Quantum Gravity
- Spectral functions of confined particles
- On the zero crossing of the three-gluon vertex
- Reconstructing the gluon
- Effects of divergent ghost loops on the Green's functions of QCD
- Infrared singularities in Landau gauge Yang-Mills theory
- On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory
- Unquenching the gluon propagator with Schwinger-Dyson equations
- Further Evidence For Zero Crossing On The Three Gluon Vertex
- On gluon and ghost propagators in linear covariant gauges
- Analytic Structure of Amplitudes in Gauge Theories with Confinement
- Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: Continuum results
- Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
- Alternative refined Gribov-Zwanziger Lagrangian
- On non-primitively divergent vertices of Yang-Mills theory
- Gluon mass scale through nonlinearities and vertex interplay
- The effects of Gribov copies in 2D gauge theories
- On the infrared scaling solution of SU(N) Yang-Mills theories in the maximally Abelian gauge
- The non-perturbative structure of the photon and gluon propagators
- Planck-scale dimensional reduction without a preferred frame
- Spurious divergences in Dyson-Schwinger equations
- Some exact properties of the gluon propagator
- The Gluon Propagator with Two-loop Schwinger-Dyson Equations
- Spectral dimensions from the spectral action
- Running coupling in the conformal window of large-Nf QCD
- Dyson-Schwinger equation constraints on the gluon propagator in BRST quantised QCD
- QCD propagators and vertices from lattice QCD (in memory of Michael Müller-Preußker)
- Confinement and Green functions in Landau-gauge QCD
- Quantum Gravity from Fundamental Questions to Phenomenological Applications
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- Yang-Mills propagators in linear covariant gauges from Nielsen identities
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- Novel sum rules for the three-point sector of QCD
- Gluon dynamics from an ordinary differential equation
- tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts
- Dynamical Chiral Symmetry Breaking in Quantum Chromo Dynamics: Delicate and Intricate