Dbrane width
Abstract
Loop quantum gravity predicts that there are nonzero minimal area, and nonzero minimal volume in (3+1) dimensions. Given this, one can easily guess that one will have a nonzero minimal 9volume in (9+1) dimensions. Therefore, in this paper, we argue that not only D9brane but also Dpbrane for p less than 9 has a 9volume. This idea is new, as the present view states that such a Dpbrane has pvolume but no 9 volume. To demonstrate this, first, we equate D8brane action with D9brane action and show that 9th direction which is perpendicular to D8brane has nonzero width. We repeat this step for different ps; we equate Dpbrane action with Dp1 brane action. By this iteration and induction we conclude that Dpbrane has nonzero widths for each of (9p) directions perpendicular to the Dpbrane, and therefore, nonzero volume. When antisymmetric tensor and field strength are zero, this width is calculated to be 2 pi sqrt(alpha') for all (9p) directions. For nonvanishing antisymmetric tensor and field strength, the width receives small corrections. In this paper, we only calculate up to the first order correction.
 Publication:

arXiv eprints
 Pub Date:
 December 2007
 arXiv:
 arXiv:0712.0077
 Bibcode:
 2007arXiv0712.0077Y
 Keywords:

 Physics  General Physics
 EPrint:
 4 pages, no figures, argument based on loop quantum gravity added