A Mermin-Wagner theorem on Lorentzian triangulations with quantum spins

Autor(es)

Kelbert, M. ^{[1, 2]} ; Suhov, Yu. ^{[1, 3]} ; Yambartsev, A. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Math & Stat, Dept Stat, BR-05508090 Sao Paulo - Brazil

^[2] Swansea Univ, Dept Math, Swansea SA2 8PP, W Glam - Wales

^[3] Univ Cambridge, DPMMS CMS, Stat Lab, Cambridge CB3 0WE - England

• Tipo de documento: Artigo Científico
• Fonte: BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS; v. 28, n. 4, p. 515-537, NOV 2014.
• Citações Web of Science: 0

Resumo

We consider infinite random causal Lorentzian triangulations emerging in quantum gravity for critical values of parameters. With each vertex of the triangulation we associate a Hilbert space representing a bosonic particle moving in accordance with the standard laws of Quantum Mechanics: The particles interact via two-body potentials decaying with the graph distance. A Mermin-Wagner type theorem is proven for infinite-volume reduced density matrices related to solutions to DLR equations in the Feynman-Kac (FK) representation. (AU)

• Processo FAPESP: 12/04372-7 - Aspectos probabilísticos em triangulações causais dinâmicas
• Beneficiário: Anatoli Iambartsev
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 11/20133-0 - Ausência de quebra de simetria contínua em sistemas quânticos bidimensionais
• Beneficiário: Anatoli Iambartsev
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional