On the stringy nature of winding modes in noncommutative thermal field theories

Arcioni, G.; Barbon, J.L.F.; Gomis, Joaquim; Vazquez-Mozo, M.A.

doi:10.1088/1126-6708/2000/06/038

On the stringy nature of winding modes in noncommutative thermal field theories

G. Arcioni
(
- Turin U. and
- INFN, Turin and
- Utrecht U.
)
,
J.L.F. Barbon
(
- CERN
)
,
Joaquim Gomis
(
- Barcelona U. and
- Barcelona, IFAE and
- CERN
)
,
M.A. Vazquez-Mozo
(
- Amsterdam U. and
- Utrecht U.
)

Apr, 2000

24 pages

Published in:

JHEP 06 (2000) 038

e-Print:

hep-th/0004080 [hep-th]

DOI:

10.1088/1126-6708/2000/06/038

Report number:

CERN-TH-2000-114,
DFTT-15-2000,
SPIN-2000-13,
UB-ECM-PF-00-06,
ITFA-2000-08

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Abstract:

We show that thermal noncommutative field theories admit a version of `channel duality' reminiscent of open/closed string duality, where non-planar thermal loops can be replaced by an infinite tower of tree-level exchanges of effective fields. These effective fields resemble closed strings in three aspects: their mass spectrum is that of closed-string winding modes, their interaction vertices contain extra moduli, and they can be regarded as propagating in a higher-dimensional `bulk' space-time. In noncommutative models that can be embedded in a D-brane, we show the precise relation between the effective `winding fields' and closed strings propagating off the D-brane. The winding fields represent the coherent coupling of the infinite tower of closed-string oscillator states. We derive a sum rule that expresses this effective coupling in terms of the elementary couplings of closed strings to the D-brane. We furthermore clarify the relation between the effective propagating dimension of the winding fields and the true codimension of the D-brane.

differential geometry: noncommutative
phi**n model: 4
duality
perturbation theory: higher-order
Feynman graph: planar
string: open
string: closed
finite temperature

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