Approximate dual representation for Yang-Mills SU(2) gauge theory

Autor(es)

Leme, R. ^{[1, 2]} ; Oliveira, O. ^[3] ; Krein, G. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, Bloco 2, BR-01140070 Sao Paulo - Brazil

^[2] Univ Tecnol Fed Parana UTFPR CP, Ave Alberto Carazzai 1640, BR-86300000 Cornelio Procopio, Parana - Brazil

^[3] Univ Coimbra, Dept Phys, CFisUC, P-3004516 Coimbra - Portugal

• Tipo de documento: Artigo Científico
• Fonte: EUROPEAN PHYSICAL JOURNAL C; v. 78, n. 8 AUG 17 2018.
• Citações Web of Science: 0

Resumo

An approximate dual representation for nonAbelian lattice gauge theories in terms of a new set of dynamical variables, the plaquette occupation numbers (PONs) that are natural numbers, is discussed. They are the expansion indices of the local series of the expansion of the Boltzmann factors for every plaquette of the Yang-Mills action. After studying the constraints due to gauge symmetry, the SU(2) gauge theory is solved using Monte Carlo simulations. For a PONs configuration the weight factor is given by Haar-measure integrals over all links whose integrands are products of powers of plaquettes. Herein, updates are limited to changes of the PON at a plaquette or all PONs on a coordinate plane. The Markov chain transition probabilities are computed employing truncated maximal trees and the Metropolis algorithm. The algorithm performance is investigated with different types of updates for the plaquette mean value over a large range of beta s. Using a 12(4) lattice very good agreement with a conventional heath bath algorithm is found for the strong and weak coupling limits. Deviations from the latter being below 0.1% for 2.5 beta < 3. The mass of the lightest J(PC) = 0(++ )glueball is evaluated and reproduces the results found in the literature. (AU)

• Processo FAPESP: 13/01907-0 - Centro de Pesquisa e Análise de São Paulo
• Beneficiário: Sergio Ferraz Novaes
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 17/01142-4 - Da descrição do regime não perturbativo da cromodinâmica quântica à aplicação da teoria quântica de campos à física da matéria condensada
• Beneficiário: Tobias Frederico
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional