Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Neville, Donald"'
Autor:
Neville, Donald E.
This paper constructs an approximate sinusoidal wave packet solution to the equations of loop quantum gravity (LQG). There is an SU(2) holonomy on each edge of the LQG simplex, and the goal is to study the behavior of these holonomies under the influ
Externí odkaz:
http://arxiv.org/abs/1305.2599
Autor:
Neville, Donald E.
This is the first of two papers which study the behavior of the SU(2) holonomies of loop quantum gravity (LQG), when they are acted upon by a unidirectional, plane gravity wave. Initially, the LQG flux-holonomy variables are treated as classical, com
Externí odkaz:
http://arxiv.org/abs/1305.2597
Autor:
Neville, Donald E.
Estimates are given of the time scales which govern spreading of a coherent state wave packet. The estimates, based on dimensional analysis, suggest that spreading should be small for coherent states with average angular momentum of order 100 or larg
Externí odkaz:
http://arxiv.org/abs/0807.1043
Autor:
Neville, Donald E.
This paper constructs coherent states for spin networks with planar symmetry. After gauge-fixing, the full SU(2) symmetry is broken to U(1), but one cannot simply use the U(1) limit of SU(2) coherent states, because the planar states exhibit an unexp
Externí odkaz:
http://arxiv.org/abs/0807.1026
Autor:
Neville, Donald E.
This paper is the second of two which construct coherent states for spin networks with planar symmetry. Paper 1 constructs set of coherent states peaked at specific values of holonomy and triad. These operators acting on the coherent state give back
Externí odkaz:
http://arxiv.org/abs/0807.1035
Autor:
Neville, Donald E.
Publikováno v:
Phys.Rev. D73 (2006) 124005
A previous paper constructed a kinematic basis for spin networks with planar or cylindrical symmetry and arbitrary polarization. This paper imposes a constraint which limits the gravitational wave to a single polarization. The spectrum of the constra
Externí odkaz:
http://arxiv.org/abs/gr-qc/0511006
Autor:
Neville, Donald E.
Publikováno v:
Phys.Rev.D73:124004,2006; Erratum-ibid.D77:129901,2008
This paper constructs a kinematic basis for spin networks with planar or cylindrical symmetry, by exploiting the fact that the basis elements are representations of an O(3) subgroup of O(4). The action of the volume operator on this basis gives a dif
Externí odkaz:
http://arxiv.org/abs/gr-qc/0511005
Autor:
Neville, Donald E.
Publikováno v:
Phys. Rev. D 59, 044032 (1999)
Smolin has pointed out that the spin network formulation of quantum gravity will not necessarily possess the long range correlations needed for a proper classical limit; typically, the action of the scalar constraint is too local. Thiemann's length o
Externí odkaz:
http://arxiv.org/abs/gr-qc/9803066
Autor:
Neville, Donald E.
Publikováno v:
Phys.Rev. D57 (1998) 986-1008
Solutions are constructed to the quantum constraints for planar gravity (fields dependent on z and t only) in the Ashtekar complex connection formalism. A number of operators are constructed and applied to the solutions. These include the familiar AD
Externí odkaz:
http://arxiv.org/abs/gr-qc/9704005
Autor:
Neville, Donald E.
Publikováno v:
Phys.Rev.D56:3485-3489,1997
A quantity which measures total intrinsic spin along the z axis is constructed for planar gravity (fields dependent on z and t only), in both the Ashtekar complex connection formalism and in geometrodynamics. The total spin is conserved but (surprisi
Externí odkaz:
http://arxiv.org/abs/gr-qc/9703086