Approximate representation of the de Sitter group
نویسندگان
چکیده
منابع مشابه
Group Averaging for de Sitter free fields
Perturbative gravity about global de Sitter space is subject to linearizationstability constraints. Such constraints imply that quantum states of matter fields couple consistently to gravity only if the matter state has vanishing de Sitter charges; i.e., only if the state is invariant under the symmetries of de Sitter space. As noted by Higuchi, the usual Fock spaces for matter fields contain n...
متن کاملThe clash between de Sitter and anti-de Sitter space
We investigate solutions that are dynamically evolving between asymptotically de Sitter and asymptotically anti-de Sitter regions in the context of Einstein gravity coupled to general matter fields in d dimensions. We demonstrate the existence of a no go theorem whenever the matter content of the theory is ‘reasonable’, i.e., such that the weak energy condition is satisfied. We show that there ...
متن کاملDe Sitter and Schwarzschild-de Sitter According to Schwarzschild and De Sitter
When de Sitter first introduced his celebrated spacetime, he claimed, following Schwarzschild, that its spatial sections have the topology of the real projective space IRP 3 (that is, the topology of the group manifold SO(3)) rather than, as is almost universally assumed today, that of the sphere S. (In modern language, Schwarzschild was disturbed by the non-local correlations enforced by S geo...
متن کاملGroup theoretical approach to quantum fields in de Sitter space
Using unitary irreducible representations of the de Sitter group, we construct the Fock space of a massive free scalar field. In this approach, the vacuum is the unique dS invariant state. The quantum field is a posteriori defined by an operator subject to covariant transformations under the dS isometry group. This insures that it obeys canonical commutation relations, up to an overall factor w...
متن کاملde Sitter group as a symmetry for optical decoherence
Stokes parameters form a Minkowskian 4-vector under various optical transformations. As a consequence, the resulting two-by-two density matrix constitutes a representation of the Lorentz group. The associated Poincaré sphere is a geometric representation of the Lorentz group. Since the Lorentz group preserves the determinant of the density matrix, it cannot accommodate the decoherence process t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2006.08.050