Branes and the gauge hierarchy

被引:109
作者
Antoniadis, I [1 ]
Bachas, C
机构
[1] Ecole Polytech, Ctr Phys Theor, CNRS, UMR 7644, F-91128 Palaiseau, France
[2] Ecole Normale Super, Phys Theor Lab, CNRS, UPR 701, F-75231 Paris, France
关键词
D O I
10.1016/S0370-2693(99)00102-1
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
If the fundamental type-I string scale is of the order of few TeV, the problem of the gauge hierarchy is that of understanding why some dimensions transverse to our brane-world are so large. The technical aspect of this problem, as usually formulated, is 'why quantum corrections do not modify drastically the masses and other parameters of the Standard Model'. We argue that within type-I perturbation theory, the technical hierarchy problem is solved (a) if all massless tadpoles cancel locally over distances of order the string length in the transverse space, or (b) if the massless fields with uncancelled local tadpoles propagate 'effectively' in d(perpendicular to) greater than or equal to 2 large transverse dimensions. These restrictions ensure that loop corrections to the Standard Model parameters decouple from the four-dimensional Planck scale, except when there are uncancelled tadpoles in d(perpendicular to) = 2 in which cast the dependence on M-p is logarithmic. This latter case is thus singled out as the only one in which the origin of the hierarchy would not be attributed entirely to 'out of this world' bulk physics. The role of the renormalization group equations in summing the leading large logs is replaced by the classical 2d supergravity equations in the transverse space. (C) 1999 Elsevier Science B.V. All rights reserved.
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页码:83 / 91
页数:9
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