0 61 20 06 v 1 1 D ec 2 00 6 The Ξ - transform for conformally flat space - time
نویسنده
چکیده
The Ξ-transform is a new spinor transform arising naturally in Einstein's general relativity. Here the example of conformally flat space-time is discussed in detail. In particular it is shown that for this case, the transform coincides with two other naturally defined transforms: one a two-variable transform on the Lie group SU(2, C), the other a transform on the space of null split octaves. The key properties of the transform are developed.
منابع مشابه
ar X iv : h ep - t h / 06 12 23 3 v 1 2 1 D ec 2 00 6 Study of Temperature Inversion Symmetry for the Twisted Wess - Zumino
The temperature inversion symmetry, for a non interacting super-symmetric ensemble, at finite volume, is studied. It is found that, the scaled free energy, f (ξ), is antisymmetric under temperature inversion transformation, i.e. f (ξ) = −ξ d f (1 ξ). This occurs for antiperiodic bosons and periodic fermions, in the compact dimension. On the contrary , for periodic bosons and antiperiodic fermio...
متن کاملar X iv : g r - qc / 0 31 00 76 v 1 1 5 O ct 2 00 3 HOLONOMY GROUPS AND SPACETIMES
A study is made of the possible holonomy group types of a space-time for which the energy-momentum tensor corresponds to a null or non-null electromagnetic field, a perfect fluid or a massive scalar field. The case of an Einstein space is also included. The techniques developed are also applied to vacuum and conformally flat space-times and contrasted with already known results in these two cas...
متن کاملar X iv : h ep - l at / 0 61 20 21 v 1 1 9 D ec 2 00 6 Precision study of the SU ( 3 ) topological susceptibility in the continuum
We determine the topological susceptibility in the SU(3) pure gauge theory. We perform a series of high-statistics lattice studies and take the combined continuum and infinite volume limit. We find χtopr 4 0 = 0.0524(7)(6), which translates into χ 1/4 top = 193(1)(8)MeV with the second error exclusively due to the intrinsic scale ambiguity.
متن کاملua nt - p h / 06 10 21 5 v 1 2 5 O ct 2 00 6 Restrictions on Information Transfer in Quantum Measurements
Information-Theoretical restrictions on the information transfer in quantum measurements are studied for practical systems. For the measurement of quantum system S by detector D, registrated and processed by information system O, such restrictions are described by formalism of inference maps in Hilbert space. The final O restricted states ξ O calculated from the agreement with Shrödinger S,D,O ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006