Blocking up D-branes : Matrix renormalization ?
| dc.creator | Narayan, K. | |
| dc.date | 2002-11-13 | |
| dc.date | 2003-09-17 | |
| dc.date.accessioned | 2026-07-25T21:11:46Z | |
| dc.description | Drawing analogies with block spin techniques used to study continuum limits in critical phenomena, we attempt to block up D-branes by averaging over near neighbour elements of their (in general noncommuting) matrix coordinates, i.e.\ in a low energy description. We show that various D-brane (noncommutative) geometries arising in string theory appear to behave sensibly under blocking up, given certain key assumptions in particular involving gauge invariance. In particular, the (gauge-fixed) noncommutative plane, fuzzy sphere and torus exhibit a self-similar structure under blocking up, if some ``counterterm'' matrices are added to the resulting block-algebras. Applying these techniques to matrix representations of more general D-brane configurations, we find that blocking up averages over far-off-diagonal matrix elements and brings them in towards the diagonal, so that the matrices become ``less off-diagonal'' under this process. We describe heuristic scaling relations for the matrix elements under this process. Further, we show that blocking up does not appear to exhibit any ``chaotic'' behaviour, suggesting that there is sensible physics underlying such a matrix coarse-graining. We also discuss briefly interrelations of these ideas with B-fields and noncommutativity. | |
| dc.description | Latex, 34 pages incl. appendices, 4 EPS figures, v2. references added, v3. minor modifications | |
| dc.identifier | https://arxiv.org/abs/hep-th/0211110 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0211110 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/77151 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Blocking up D-branes : Matrix renormalization ? | |
| dc.type | text |