Display options
Cite
Cucchieri A, Mendes T. Bloch Waves in Minimal Landau Gauge and the Infinite-Volume Limit of Lattice Gauge Theory. Phys Rev Lett. 2017;118(19):192002doi: 10.1103/PhysRevLett.118.192002.
Cucchieri, A., & Mendes, T. (2017). Bloch Waves in Minimal Landau Gauge and the Infinite-Volume Limit of Lattice Gauge Theory. Physical review letters, 118(19), 192002. https://doi.org/10.1103/PhysRevLett.118.192002
Cucchieri, Attilio, and Mendes, Tereza. "Bloch Waves in Minimal Landau Gauge and the Infinite-Volume Limit of Lattice Gauge Theory." Physical review letters vol. 118,19 (2017): 192002. doi: https://doi.org/10.1103/PhysRevLett.118.192002
Cucchieri A, Mendes T. Bloch Waves in Minimal Landau Gauge and the Infinite-Volume Limit of Lattice Gauge Theory. Phys Rev Lett. 2017 May 12;118(19):192002. doi: 10.1103/PhysRevLett.118.192002. Epub 2017 May 09. PMID: 28548507.
Copy Download .nbib Format: NLM
Share it on

Phys Rev Lett. 2017 May 12;118(19):192002. doi: 10.1103/PhysRevLett.118.192002. Epub 2017 May 09.

Bloch Waves in Minimal Landau Gauge and the Infinite-Volume Limit of Lattice Gauge Theory.

Physical review letters

Attilio Cucchieri, Tereza Mendes

Affiliations

  1. Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, 13560-970 São Carlos, SP, Brazil.

PMID: 28548507 DOI: 10.1103/PhysRevLett.118.192002

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)NUPBBO0550-321310.1016/0550-3213(94)90396-4], 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.

Publication Types