Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9855075 | Nuclear Physics B | 2005 | 54 Pages |
Abstract
The quantum dynamics of a bulk-boundary theory is closely examined by the use of the background field method. As an example we take the Mirabelli-Peskin model, which is composed of 5D super-Yang-Mills (bulk) and 4D Wess-Zumino (boundary). Singular interaction terms play an important role of canceling the divergences coming from the KK-mode sum. Some new regularization of the momentum integral is proposed. An interesting background configuration of scalar fields is found. It is a localized solution of the field equation. In this process of the vacuum search, we present a new treatment of the vacuum with respect to the extra coordinate. The “supersymmetric” effective potential is obtained at the 1-loop full (w.r.t. the coupling) level. This is the bulk-boundary generalization of the Coleman-Weinberg's case. Renormalization group analysis is done and the correct 4D result is reproduced. The Casimir energy is calculated and is compared with the case of the Kaluza-Klein model.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Shoichi Ichinose, Akihiro Murayama,