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- W1984756626 abstract "I show that there is an ambiguity in how one treats auxiliary variables in gauge theories including general relativity cast as 3 + 1 geometrodynamics. Auxiliary variables may be treated pre-variationally as multiplier coordinates or as the velocities corresponding to cyclic coordinates. The latter treatment works through the physical meaninglessness of auxiliary variables' values applying also to the end points (or end spatial hypersurfaces) of the variation, so that these are free rather than fixed. (This is also known as variation with natural boundary conditions.) Further principles of dynamics workings such as Routhian reduction and the Dirac procedure are shown to have parallel counterparts for this new formalism. One advantage of the new scheme is that the corresponding actions are more manifestly relational. While the electric potential is usually regarded as a multiplier coordinate and Arnowitt, Deser and Misner have regarded the lapse and shift likewise, this paper's scheme considers new flux, instant and grid variables whose corresponding velocities are, respectively, the above-mentioned previously used variables. This paper's way of thinking about gauge theory furthermore admits interesting generalizations as regards variational principles for the conformal form of general relativity's initial value problem." @default.
- W1984756626 created "2016-06-24" @default.
- W1984756626 creator A5035254527 @default.
- W1984756626 date "2008-08-15" @default.
- W1984756626 modified "2023-09-25" @default.
- W1984756626 title "An interpretation of variational principles for gauge theories: a cyclic coordinate alternative to ADM split" @default.
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- W1984756626 doi "https://doi.org/10.1088/0264-9381/25/17/175011" @default.
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