The Gauge Hierarchy Problem and Higher Dimensional Gauge Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX2e. 12 pages, 3 Postscript figures; Added references, some comments

Scientific paper

10.1142/S021773239800276X

We report on an attempt to solve the gauge hierarchy problem in the framework of higher dimensional gauge theories. Both classical Higgs mass and quadratically divergent quantum correction to the mass are argued to vanish. Hence the hierarchy problem in its original sense is solved. The remaining finite mass correction is shown to depend crucially on the choice of boundary condition for matter fields, and a way to fix it dynamically is presented. We also point out that on the simply-connected space $S^2$ even the finite mass correction vanishes.

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