Gluon correlation functions from lattice quantum chromodynamics
arXiv:2101.06074
Abstract
We study the gluon sector in pure Yang-Mills theories via the computation of two, three and four point Landau gauge gluon correlation functions via LQCD using the Wilson action for Monte-Carlo simulations. The first goal was to use lattice tensor representations for the propagator in four dimensions to understand/quantify deviations of the lattice propagator from its continuum form. We also identified classes of kinematic configurations where these deviations are minimal and the continuum description of lattice tensors is improved. These tensor structures also allow to verify that the continuum Slavnov-Taylor identity for the propagator is is fulfilled, with good accuracy, on the lattice. The computation of the three gluon vertex served to explore the so-called zero crossing, a property related to the ghost dominance at the infrared scales that restricts the behaviour of the three gluon vertex. We also explore the possible existence of a ghost mass preventing the IR divergence. Functional forms were used to model the lattice data and explore the two different possibilities for the IR behaviour. In the first case we estimate the mass scale associated with the crossing and search for a possible sign of the divergence. Secondly, we study the possibility of a sign change and a finite zero momentum value of the vertex. A last topic is the calculation of the four gluon vertex. A suitable choice of kinematics allows to eliminate the unwanted contributions from lower order functions while large statistical fluctuations hinder the precise computation of this object. Our investigation is a proof of concept, we show that the lattice computation of the four gluon correlation function is feasible with reasonable computational resources. An increase in statistics is necessary to provide a clearer signal on the complete correlation function and to compute the one particle irreducible function.
References in corpus (36)
- Infrared Properties of QCD from Dyson-Schwinger equations
- Baryons as relativistic three-quark bound states
- Landau gauge Yang-Mills correlation functions
- Non-perturbative Faddeev-Popov formula and infrared limit of QCD
- Running Coupling and the Lambda-Parameter from SU(3) Lattice Simulations
- Light mesons in QCD and unquenching effects from the 3PI effective action
- The lattice Landau gauge gluon propagator: lattice spacing and volume dependence
- The three-gluon vertex in Landau gauge
- Gluonic three-point correlations in pure Landau gauge QCD
- Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure SU(3) Yang-Mills Theory: Finite Lattice Spacing and Volume Effects
- Gluon Propagator in the Infrared Region
- Asymptotic behaviour of the gluon propagator from lattice QCD
- On the zero crossing of the three-gluon vertex
- Effects of divergent ghost loops on the Green's functions of QCD
- Light Hadron Spectrum and Quark Masses from Quenched Lattice QCD
- Problems in Lattice Gauge Fixing
- Gribov copies, Lattice QCD and the gluon propagator
- Gluon propagator and three-gluon vertex with dynamical quarks
- Refining the detection of the zero crossing for the symmetric and asymmetric three-gluon vertices
- Non-Gaussian wave functionals in Coulomb gauge Yang--Mills theory
- The all-order equation of the effective gluon mass
- On the reduction of hypercubic lattice artifacts
- Introduction to Lattice QCD
- Further Evidence For Zero Crossing On The Three Gluon Vertex
- High Precision Statistical Landau Gauge Lattice Gluon Propagator Computation vs. the Gribov-Zwanziger approach
- Quark propagator with two flavors of O(a)-improved Wilson fermions
- Nonperturbative study of the four gluon vertex
- Coupled dynamics in gluon mass generation and the impact of the three-gluon vertex
- The analytic structure of the lattice Landau gauge gluon and ghost propagators
- Quark propagator and vertex: systematic corrections of hypercubic artifacts from lattice simulations
- Exploratory Study of the 3-Gluon Vertex on the Lattice
- Symmetric point quartic gluon vertex and momentum subtraction
- The Monte Carlo method in quantum field theory
- More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions
- tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts
- Tensor representations of lattice vertices from hypercubic symmetry