Localization of Various Bulk Fields on a Brane
Abstract
Description
We report the issues of localization of various bulk fields on a brane in a curved background from a local field-theoretic viewpoint where a special attention is paid to a warp geometry in a general space-time dimension. We point out that spin 0 scalar field and spin 2 graviton are naturally localized on a brane with the exponentially decreasing warp factor, while spin 1/2 and 3/2 fermionic fields can be localized on the brane by introducing a bulk mass term with a 'kink' profile. {}For the localization of spin 1 vector field on the brane with the exponentially decreasing warp factor, it is shown that there are essentially two ways. One way is to appeal to the Dvali-Shifman method which is based on a peculiar feature of the non-abelian gauge dynamics such as bulk confinement, whereas the other way is to look for a solution of Einstein equations in such a way that the geometry has a property of confining the vector field to the brane by a gravitational interaction as in six dimensions. We point out that the latter way is more universal.
7 pages, LaTex 2e, The expanded version of an invited paper which appears in "Concise Encyclopedia on Supersymmetry and Noncommutative Structures in Mathematics and Physics", edited by J. Bagger, S. Duplij and W. Siegel, Kluwer Academic Publishers, Dordrecht
7 pages, LaTex 2e, The expanded version of an invited paper which appears in "Concise Encyclopedia on Supersymmetry and Noncommutative Structures in Mathematics and Physics", edited by J. Bagger, S. Duplij and W. Siegel, Kluwer Academic Publishers, Dordrecht