The Non-commutative Brane World

Details The Non-commutative Brane World The Non-commutative Brane World

2000-12-14

arxiv.org/abs/hep-ph/0012174v2

JHEP 0103:015,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, uses JHEP.cls; references added and a few misprints corrected

Scientific paper

10.1088/1126-6708/2001/03/015

We propose a new higher-dimensional mechanism to localize scalar fields as well as fermionic and gauge fields. The underlying theory is a six-dimensional non-commutative field theory where non-commutativity is allowed along two extra infinite spatial dimensions and the four-dimensional brane is provided by a scalar soliton living in the non-commutative space. Making use of the powerful correspondence between non-commutative coordinates and operators on a single particle Hilbert space, we show that the non-commutative brane world admits localized chiral fermions and it ensures the localization of massless gauge fields. It may also give rise to a variety of different low-energy spectra since the localized zero mode may come along either with a discrete tower of degenerate heavy states or with a tower of Kaluza-Klein heavy states, or it may even be the only state in the low-energy spectrum.

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