Ambiguities in the Seiberg-Witten map and emergent gravity

Autor(es)

Rivelles, Victor O. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Fis, BR-05314970 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Classical and Quantum Gravity; v. 31, n. 2 JAN 21 2014.
• Citações Web of Science: 4

Resumo

The theta expansion of the Seiberg-Witten map has ambiguities which can be removed by a gauge transformation and/or a field redefinition. In the context of emergent gravity such a field redefinition changes the emerging metric and requires the presence of non-minimal gravitational couplings. It also requires that a real scalar field becomes a scalar density and allows the introduction of a potential. We also find that the potential can have only one term and that a quartic interaction is not allowed. Even though the metric depends on the ambiguity we show that the dispersion relation does not present any sign of it. A proposal for an exact Seiberg-Witten map is used to derive the full metric going beyond the linearized limit. (AU)

• Processo FAPESP: 08/05343-5 - Gravitação quântica
• Beneficiário: Victor de Oliveira Rivelles
• Modalidade de apoio: Auxílio à Pesquisa - Temático