Radiative brane-mass terms in D>5 orbifold gauge theories
arXiv:hep-ph/0210134 · doi:10.1016/S0370-2693(02)03039-3
Abstract
A gauge theory with gauge group G defined in D>4 space-time dimensions can be broken to a subgroup H on four dimensional fixed point branes, when compactified on an orbifold. Mass terms for extra dimensional components of gauge fields A_i (brane scalars) might acquire (when allowed by the brane symmetries) quadratically divergent radiative masses and thus jeopardize the stability of the four-dimensional theory. We have analyzed Z_2 compactifications and identified the brane symmetries remnants of the higher dimensional gauge invariance. No mass term is allowed for D=5 while for D>5 a tadpole ε^{ij}F_{ij}^αcan appear when there are U_α(1) factors in H. A detailed calculation is done for the D=6 case and it is established that the tadpole is related, although does not coincide, with the U_α(1) anomaly induced on the brane by the bulk fermions. In particular, no tadpole is generated from gauge bosons or fermions in real representations
12 pages, 2 figures, axodraw.sty. v2: important typoes corrected and reference added. v3: logarithmic corrections to tadpole included