A dynamical stabilization of the radion potential

Abstract

Large extra dimensional theories attempt to solve the hierarchy problem by assuming that the fundamental scale of the theory is at the electroweak scale. This requires the size of the extra dimensions to be stabilized at a scale which is determined by the effective four dimensional Planck mass and the number of extra dimensions. In this paper we concentrate upon the dynamical reasons to stabilize them by providing a running mass to the radion field. We show that it is possible to maintain the size of the extra dimensions once it is stabilized throughout the dynamics of inflation.

Radion cosmology and stabilization

“…One of the most promising candidates for resolving this is the introduction of a large extra dimension and reducing the scale of quantum gravity all way down to the weak scale, which was shown first by Arkani-Hamed et al [1][2][3][4][5][6][7][8][9]. This possibility might imply the existence of large extra dimensions and this opens up a new cosmological scenario for the early universe [10][11][12][13][14][15][16][17]. Though it is an interesting concept, the existence of a large hierarchy between the weak and the Planck scale leads to new hierarchy through the length scale of the large extra dimension where the radius of the extra dimension is much larger than the natural value.…”

Assisted inflation via tachyon condensation

“…The prescription of stabilizing the extra dimensions can be obtained dynamically following Ref. [13]. Here we simply recall some of its features.…”

“…If the three spatial dimensions are expanding with a Hubble parameter H, then it has been observed in Ref. [13] that the common mode actually gets a running mass of order ∼ O(H). Once this happens, the common mode decouples from the rest of the tachyon dynamics, and settles down to the minimum of its potential.…”

“…These new ideas come up with a host of new cosmological issues and several new ideas have been discussed, such as inflationary [11][12][13][14][15][16], and non-inflationary scenarios [17,18]. One of the common feature these models possess is to inflate the brane by altering inter-brane separation.…”

Quantum noncommutative multidimensional cosmology

“…As soon as extra dimensions are introduced, the question of their compactification and stabilization becomes important and should be addressed [32][33][34][35]. It would therefore be of interest to study model theories where such issues are addressed and possible solutions presented.…”