2021/11/29 by Guilherme Catumba, Catumba, Guilherme, Orlando Oliveira +3
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2111.15022
openalex publication_date 2021/11/29 · openalex created_date 2023/03/23 · openalex updated_date 2026/07/28
Lattice tensor representations are used to investigate the lattice Landau\ngauge gluon propagator for the 4-dimensional pure SU(3) Yang-Mills gauge\ntheory. Due to the different symmetry structure of hypercubic lattices compared\nto the continuum space-time, lattice correlation functions are described by\ndifferent tensor structures. Therefore, form factors describing lattice\ncorrelation functions have, in principle, non-trivial relations with the\ncontinuum counterparts. The use of several tensor bases respecting lattice\nsymmetries, and the analysis of its completeness allows to quantify the\ndeviations of the lattice results from the continuum theory, and also estimate\nthe theoretical uncertainty in the propagator. Furthermore, our analysis tests\ncontinuum based relations with the lattice data and shows that the lattice\nLandau gauge gluon propagator is suitably described by a unique form factor, as\nin the continuum formulation. Additionally, we identified classes of kinematic\nconfigurations where these deviations are minimal and the continuum description\nof lattice tensors is improved.\n