{ "id": "1310.6788", "version": "v2", "published": "2013-10-24T22:53:24.000Z", "updated": "2014-05-09T17:15:53.000Z", "title": "Gauge Theories, D-Branes and Holography", "authors": [ "Frank Ferrari" ], "comment": "55 pages, 7 figures; v2: typos corrected", "doi": "10.1016/j.nuclphysb.2014.01.007", "categories": [ "hep-th", "hep-lat" ], "abstract": "Based on a generalization of the string theoretic concept of D-brane probe, we propose a new approach to large N gauge theories which makes the holographic properties manifest. For any gauge theory, we define from first principles an effective action for a fixed number of \"probe\" D-branes in the presence of N \"background\" D-branes on which the gauge theory lives. This effective action is shown to encode all the information about the large N gauge theory. The analysis of the planar diagram expansion which computes the effective action yields a simple and generic mechanism explaining the emergence of holographic space dimensions: the probe D-branes move in a higher dimensional dual holographic space-time. The construction yields a new perspective on the notion of bulk space-time locality and draws unexpected links with some aspects of the 't Hooft Abelian projection ideas. It also provides a new non-perturbative approximation scheme, able to capture both the weak and strong coupling regimes. We sketchily illustrate the basic ideas on a few examples, including the pure four dimensional Yang-Mills theory.", "revisions": [ { "version": "v2", "updated": "2014-05-09T17:15:53.000Z" } ], "analyses": { "keywords": [ "gauge theory", "effective action", "higher dimensional dual holographic space-time", "hooft abelian projection ideas", "holography" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier", "journal": "Nuclear Physics B", "year": 2014, "month": "Mar", "volume": 880, "pages": 247 }, "note": { "typesetting": "TeX", "pages": 55, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1262118, "adsabs": "2014NuPhB.880..247F" } } }