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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

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

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Autor(es):
Cucchieri, Attilio ; Mendes, Tereza
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: Physical Review Letters; v. 118, n. 19 MAY 9 2017.
Citações Web of Science: 3
Resumo

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)

Processo FAPESP: 04/08928-3 - Desenvolvimento e aplicação de métodos computacionais de alto desempenho para análise de sistemas físicos e biológicos
Beneficiário:Luiz Nunes de Oliveira
Modalidade de apoio: Auxílio à Pesquisa - Programa Equipamentos Multiusuários