Exploring smoking-gun signals of the Schwinger mechanism in QCD
arXiv:2111.09431 · doi:10.1103/PhysRevD.105.014030
Abstract
In QCD, the Schwinger mechanism endows the gluons with an effective mass through the dynamical formation of massless bound-state poles that are longitudinally coupled. The presence of these poles affects profoundly the infrared properties of the interaction vertices, inducing crucial modifications to their fundamental Ward identities. Within this general framework, we present a detailed derivation of the non-Abelian Ward identity obeyed by the pole-free part of the three-gluon vertex in the soft-gluon limit, and determine the smoking-gun displacement that the onset of the Schwinger mechanism produces to the standard result. Quite importantly, the quantity that describes this distinctive feature coincides formally with the bound-state wave function that controls the massless pole formation. Consequently, this signal may be computed in two independent ways: by solving an approximate version of the pertinent Bethe-Salpeter integral equation, or by appropriately combining the elements that enter in the aforementioned Ward identity. For the implementation of both methods we employ two- and three-point correlation functions obtained from recent lattice simulations, and a partial derivative of the ghost-gluon kernel, which is computed from the corresponding Schwinger-Dyson equation. Our analysis reveals an excellent coincidence between the results obtained through either method, providing a highly nontrivial self-consistency check for the entire approach. When compared to the null hypothesis, where the Schwinger mechanism is assumed to be inactive, the statistical significance of the resulting signal is estimated to be three standard deviations.
arXiv comment44 pages, 12 figures
References in corpus (111)
- Dyson-Schwinger Equations and the Application to Hadronic Physics
- The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
- Aspects of the Functional Renormalisation Group
- Dyson-Schwinger equations: a tool for hadron physics
- A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
- pi- and K-meson Bethe-Salpeter Amplitudes
- Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
- Infrared Properties of QCD from Dyson-Schwinger equations
- Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
- Baryons as relativistic three-quark bound states
- On the infrared behavior of Landau gauge Yang-Mills theory
- Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
- Pinch Technique: Theory and Applications
- Quark Confinement from Color Confinement
- Explanation and Prediction of Observables using Continuum Strong QCD
- Nonperturbative Light-Front QCD
- Non-perturbative Propagators, Running Coupling and Dynamical Quark Mass of Landau gauge QCD
- Infrared behaviour and fixed points in Landau gauge QCD
- Landau gauge Yang-Mills correlation functions
- Non-perturbative quark, gluon and meson correlators of unquenched QCD
- Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
- Infrared propagators of Yang-Mills theory from perturbation theory
- Gauge bosons at zero and finite temperature
- On the IR behaviour of the Landau-gauge ghost propagator
- Hybrid Mesons
- Non-perturbative Faddeev-Popov formula and infrared limit of QCD
- Hadron Properties and Dyson-Schwinger Equations
- Light mesons in QCD and unquenching effects from the 3PI effective action
- The Infrared Behaviour of the Pure Yang-Mills Green Functions
- Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory
- Pion and Kaon Structure at the Electron-Ion Collider
- Quark flavour effects on gluon and ghost propagators
- Nucleon mass from a covariant three-quark Faddeev equation
- Scaling behavior and positivity violation of the gluon propagator in full QCD
- Three-point vertices in Landau-gauge Yang-Mills theory
- The lattice Landau gauge gluon propagator: lattice spacing and volume dependence
- Process-independent strong running coupling
- Landau-gauge propagators in Yang-Mills theories at beta = 0: massive solution versus conformal scaling
- A dynamical gluon mass solution in a coupled system of the Schwinger-Dyson equations
- Survey of nucleon electromagnetic form factors
- Lifting the Gribov ambiguity in Yang-Mills theories
- Gluon mass generation in the PT-BFM scheme
- Confinement from Correlation Functions
- On unifying the description of meson and baryon properties
- Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory
- Running Gluon Mass from Landau Gauge Lattice QCD Propagator
- Chiral symmetry breaking with lattice propagators
- Symmetry preserving truncations of the gap and Bethe-Salpeter equations
- On the zero crossing of the three-gluon vertex
- Reconstructing the gluon
- Relating a gluon mass scale to an infrared fixed point in pure gauge QCD
- Alpha_s from the non-perturbatively renormalised lattice three-gluon vertex
- Effects of divergent ghost loops on the Green's functions of QCD
- An exact nilpotent non-perturbative BRST symmetry for the Gribov-Zwanziger action in the linear covariant gauge
- Fully coupled functional equations for the quark sector of QCD
- Locating the Gribov horizon
- Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge
- On the massive gluon propagator, the PT-BFM scheme and the low-momentum behaviour of decoupling and scaling DSE solutions
- Generalized Pinch Technique and the Background Field Method in General Gauges
- Empirical Consequences of Emergent Mass
- Two-point correlation functions of QCD in the Landau gauge
- Pinch Technique and the Batalin-Vilkovisky formalism
- Gauge-invariant truncation scheme for the Schwinger-Dyson equations of QCD
- Gluon propagator and three-gluon vertex with dynamical quarks
- Refining the detection of the zero crossing for the symmetric and asymmetric three-gluon vertices
- Analytical study of Yang-Mills theory in the infrared from first principles
- Covariant gauge on the lattice: a new implementation
- The lattice gluon propagator in renormalizable gauges
- The all-order equation of the effective gluon mass
- Non-Gaussian wave functionals in Coulomb gauge Yang--Mills theory
- Lattice calculation of in momentum scheme
- Further Evidence For Zero Crossing On The Three Gluon Vertex
- Gluon mass generation without seagull divergences
- Discretization effects on renormalized gauge-field Green's functions, scale setting and gluon mass
- Massless bound-state excitations and the Schwinger mechanism in QCD
- The strong coupling constant at small momentum as an instanton detector
- Reflections upon the Emergence of Hadronic Mass
- Correlation functions of three-dimensional Yang-Mills theory from the FRG
- Unquenching effects in the quark and gluon propagator
- Ghost spectral function from the spectral Dyson-Schwinger equation
- Renormalization group analysis of the gluon mass equation
- On the non-perturbative gluon mass and heavy quark physics
- On mass generation in Landau-gauge Yang-Mills theory
- Schwinger mechanism in linear covariant gauges
- Spectrum of scalar and pseudoscalar glueballs from functional methods
- Nonperturbative Ball-Chiu construction of the three-gluon vertex
- Ghost dynamics in the soft gluon limit
- Nonperturbative structure of the ghost-gluon kernel
- Evidence of ghost suppression in gluon mass dynamics
- Unified description of seagull cancellations and infrared finiteness of gluon propagators
- Gluon mass generation in the massless bound-state formalism
- Infrared facets of the three-gluon vertex
- Coupled dynamics in gluon mass generation and the impact of the three-gluon vertex
- Pseudoscalar glueball mass: a window on three-gluon interactions
- Bound state properties from the Functional Renormalisation Group
- Matrix algorithms for solving (in)homogeneous bound state equations
- On non-primitively divergent vertices of Yang-Mills theory
- Gluon mass generation in the presence of dynamical quarks
- Renormalized quark-antiquark Hamiltonian induced by a gluon mass ansatz in heavy-flavor QCD
- Modified instanton profile effects from lattice Green functions
- Exploratory Study of the 3-Gluon Vertex on the Lattice
- Functional renormalization group and 2PI effective action formalism
- Features of ghost-gluon and ghost-quark bound states related to BRST quartets
- Electromagnetic transition form factors of baryons in the space-like momentum region
- Probing the tensor structure of lattice three-gluon vertex in Landau gauge
- The Gluon Propagator with Two-loop Schwinger-Dyson Equations
- New Perspective on Hybrid Mesons
- Status of alpha_s determinations from the non-perturbatively renormalised three-gluon vertex
- Novel sum rules for the three-point sector of QCD
- Gluon dynamics from an ordinary differential equation
- On Mass and Matter
Cited by in corpus (15)
- Gauge Sector Dynamics in QCD
- Emergence of mass in the gauge sector of QCD
- Schwinger mechanism for gluons from lattice QCD
- Planar degeneracy of the three-gluon vertex
- Nucleon axial form factor at large momentum transfers
- Heavy + heavy and heavy + light pseudoscalar to vector semileptonic transitions
- Theory introduction to baryon spectroscopy
- Composition of low-lying -baryons
- The analytic structure of the Landau gauge quark propagator from Padé analysis
- On the complex structure of Yang-Mills theory
- Ghost-gluon vertex in the presence of the Gribov horizon: General kinematics
- Schwinger-Dyson truncations in the all-soft limit: a case study
- Three-gluon vertex in Landau-gauge from quenched-lattice QCD in general kinematics
- Patterns of gauge symmetry in the background field method
- Getting a handle on correlation functions