Noncommutative field theory and violation of translation invariance

• Tipo: Artigo em Revista Científica Internacional
• Data: 2003

Autores

Bertolami, O (Autor) Outra; Guisado, L (Autor) Outra

Revista

Título: Journal of High Energy Physics

Vol. 7

Páginas: 325-337

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 49 Citações

Scopus - 34 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Física

Outras Informações

ID Authenticus: P-000-EA5

DOI: 10.1088/1126-6708/2003/12/013

Abstract (EN): Noncommutative field theories with commutator of the coordinates of the form [x(mu), x(nu)] = i Lambda(munu) (omega)x(omega) with nilpotent structure constants are studied and shown that a free quantum field theory is not affected. Invariance under translations is broken and the conservation of energy-momentum is violated, obeying a new law which is expressed by a Poincare-invariant equation. The resulting new kinematics is studied and applied to simple examples and to astrophysical puzzles, such as the observed violation of the GZK cutoff. The lambdaPhi(4) quantum field theory is also considered in this context. In particular, self interaction terms violate the usual conservation of energy-momentum and, hence, the radiative correction to the propagator is altered. The correction to first order in lambda is calculated. The usual UV divergent terms are still present, but a new type of term also emerges, which is IR divergent, violates momentum conservation and implies a correction to the dispersion relation.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 13