Study of Gluon and Quark propagators in Lattice QCD at Finite Temperature
Search for dark light mediators with short-baseline detectors at Fermilab
| Full text | |
| Author(s): |
Cucchieri, Attilio
;
Mendes, Tereza
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Physical Review Letters; v. 118, n. 19 MAY 9 2017. |
| Web of Science Citations: | 3 |
| Abstract | |
By exploiting the similarity between Bloch's theorem for electrons in crystalline solids and the problem of Landau gauge fixing in Yang-Mills theory on a ``replicated{''} lattice, we show that large-volume results can be reproduced by simulations performed on much smaller lattices. This approach, proposed by Zwanziger {[}Nucl. Phys. B412, 657 (1994)], corresponds to taking the infinite-volume limit for Landau-gauge field configurations in two steps: first for the gauge transformation alone, while keeping the lattice volume finite, and second for the gauge-field configuration itself. The solutions to the gauge-fixing condition are then given in terms of Bloch waves. Applying the method to data from Monte Carlo simulations of pure SU(2) gauge theory in two and three space-time dimensions, we are able to evaluate the Landau-gauge gluon propagator for lattices of linear extent up to 16 times larger than that of the simulated lattice. This approach is reminiscent of the Fisher-Ruelle construction of the thermodynamic limit in classical statistical mechanics. (AU) | |