Large N bounds on, and compositeness limit of, gauge and gravitational interactions

Veneziano, G.

doi:10.1088/1126-6708/2002/06/051

Large N bounds on, and compositeness limit of, gauge and gravitational interactions

G. Veneziano
(
- CERN and
- Orsay, LPT
)

Oct, 2001

7 pages

Published in:

JHEP 06 (2002) 051

e-Print:

hep-th/0110129 [hep-th]

DOI:

10.1088/1126-6708/2002/06/051

Report number:

CERN-TH-2001-278

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Abstract:

In a toy model of gauge and gravitational interactions in

D \ge 4

dimensions, endowed with an invariant UV cut-off

\Lambda

, and containing a large number

N

of non-self-interacting matter species, the physical gauge and gravitational couplings at the cut-off,

\alpha_g \equiv g^2 \Lambda^{D-4}

and

\alpha_G \equiv G_N \Lambda^{D-2}

, are shown to be bounded by appropriate powers of

{1\over N}

. This implies that the infinite-bare-coupling (so-called compositeness) limit of these theories is smooth, and can even resemble our world. We argue that such a result, when extended to more realistic situations, can help avoid large-N violations of entropy bounds, solve the dilaton stabilization and GUT-scale problems in superstring theory, and provide a new possible candidate for quintessence.

gauge field theory
gravitation: fundamental constant
dimension: >=4
expansion 1/N
coupling: renormalization
entropy
dilaton: stability
grand unified theory

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