Selecting Gauge Theories on an Interval by 5D Gauge Transformations
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Gauge symmetry breaking by boundary conditions is studied in a general warped geometry in five dimensions. It has been suggested that a wider class of boundary conditions is allowed by requiring only vanishing surface terms when deriving the field equations for gauge theories on an interval (i.e., employing a variational principle), in comparison to the twist in orbifolding with automorphisms of the Lie algebra. We find that there are classes of boundary conditions allowed by the variational principle which violate the Ward-Takahashi identity and give four-point tree amplitudes that increase with energy in channels that have not yet been explored, leading to cross sections that increase as powers of the energy (which violates the tree level unitarity). We also find that such boundary conditions are forbidden by the requirement that the definitions of the restricted class of five-dimensional (5D) gauge transformations be consistent.
21 pages, 4 figures; typos corrected(v2), a footnote added for section 3(v3), added explanations(v4), typos corrected, a part of section 2.3 restructured and paragraphs added for section 3(v5), presentation modified and typos corrected(v6), PTP version(v7)
21 pages, 4 figures; typos corrected(v2), a footnote added for section 3(v3), added explanations(v4), typos corrected, a part of section 2.3 restructured and paragraphs added for section 3(v5), presentation modified and typos corrected(v6), PTP version(v7)