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arXiv · 0801.0845

Gauge-Fixing and Residual Symmetries in Gauge/Gravity Theories with Extra Dimensions

C. S. Lim·Tomoaki Nagasawa·Satoshi Ohya·Kazuki Sakamoto·Makoto Sakamoto
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Abstract

We study compactified pure gauge/gravitational theories with gauge-fixing terms and show that these theories possess quantum mechanical SUSY-like symmetries between unphysical degrees of freedom. These residual symmetries are global symmetries and generated by quantum mechanical N=2 supercharges. Also, we establish new one-parameter family of gauge choices for higher-dimensional gravity, and calculate as a check of its validity one graviton exchange amplitude in the lowest tree-level approximation. We confirm that the result is indeed $ξ$-independent and the cancellation of the $ξ$-dependence is ensured by the residual symmetries. We also give a simple interpretation of the vDVZ-discontinuity, which arises in the lowest tree-level approximation, from the supersymmetric point of view.

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C. S. Lim, Tomoaki Nagasawa, Satoshi Ohya, Kazuki Sakamoto, Makoto Sakamoto. 2008-01-06. Gauge-Fixing and Residual Symmetries in Gauge/Gravity Theories with Extra Dimensions. https://doi.org/10.1103/physrevd.77.065009

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