Observations on non-commutative field theories in coordinate space

Simple item page
dc.creatorBerenstein, David
dc.creatorLeigh, Robert G.
dc.date2001-02-22
dc.date2001-02-26
dc.date.accessioned2026-07-07T04:11:22Z
dc.date.available2026-07-07T04:11:22Z
dc.descriptionWe discuss non-commutative field theories in coordinate space. To do so we introduce pseudo-localized operators that represent interesting position dependent (gauge invariant) observables. The formalism may be applied to arbitrary field theories, with or without supersymmetry. The formalism has a number of intuitive advantages. First it makes clear the appearance of new degrees of freedom in the infrared. Second, it allows for a study of correlation functions of (composite) operators. Thus we calculate the two point function in position space of the insertion of certain composite operators. We demonstrate that, even at tree level, many of the by now familiar properties of non-commutative field theories are manifest and have simple interpretations. The form of correlation functions are such that certain singularities may be interpreted in terms of dimensional reduction along the non-commutative directions: this comes about because these are theories of fundamental dipoles.
dc.description17 pages, Latex. Updated references
dc.identifierhttps://arxiv.org/abs/hep-th/0102158
dc.identifierhttp://arxiv.org/abs/hep-th/0102158
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50557
dc.subjectHigh Energy Physics - Theory
dc.titleObservations on non-commutative field theories in coordinate space
dc.typetext

Files

Collections

arXiv