Noncommutative field theory and violation of translation invariance

• Type: Article in International Scientific Journal
• Date: 2003

Authors

Bertolami, O (Author) Other; Guisado, L (Author) Other

Journal

Title: Journal of High Energy Physics

Vol. 7

Pages: 325-337

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 49 Citations

Scopus - 34 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 13