scholarly journals A geometric renormalization group in discrete quantum space–time

2003 ◽  
Vol 44 (12) ◽  
pp. 5588 ◽  
Author(s):  
Manfred Requardt
Keyword(s):  
Renormalization Group ◽  
Space Time ◽  
Quantum Space

Сonanical quantum space-time and the arrow time

2020 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Space Time ◽  
Quantum Space

Сonanical quantum space-time and the arrow time

scholarly journals Quantum space–time and classical gravity

1998 ◽  
Vol 39 (1) ◽  
pp. 423-442 ◽  
Author(s):  
J. Madore ◽  
J. Mourad
Keyword(s):  
Space Time ◽  
Quantum Space ◽  
Classical Gravity

scholarly journals A bulk localized state and new holographic renormalization group flow in 3D spin-3 gravity

2018 ◽  
Vol 33 (12) ◽  
pp. 1850061 ◽  
Author(s):  
Ryuichi Nakayama ◽  
Tomotaka Suzuki
Keyword(s):  
Renormalization Group ◽  
Scalar Field ◽  
Central Charge ◽  
Dimensional Space ◽  
Space Time ◽  
Internal Space ◽  
Conformal Weight ◽  
Weight Changes ◽  
Localized State ◽  
Bulk Space

We construct a localized state of a scalar field in 3D spin-3 gravity. 3D spin-3 gravity is thought to be holographically dual to [Formula: see text]-extended CFT on a boundary at infinity. It is known that while [Formula: see text] algebra is a nonlinear algebra, in the limit of large central charge [Formula: see text] a linear finite-dimensional subalgebra generated by [Formula: see text] [Formula: see text] and [Formula: see text] [Formula: see text] is singled out. The localized state is constructed in terms of these generators. To write down an equation of motion for a scalar field which is satisfied by this localized state, it is necessary to introduce new variables for an internal space [Formula: see text], [Formula: see text], [Formula: see text], in addition to ordinary coordinates [Formula: see text] and [Formula: see text]. The higher-dimensional space, which combines the bulk space–time with the “internal space,” which is an analog of superspace in supersymmetric theory, is introduced. The “physical bulk space–time” is a 3D hypersurface with constant [Formula: see text], [Formula: see text] and [Formula: see text] embedded in this space. We will work in Poincaré coordinates of AdS space and consider [Formula: see text]-quasi-primary operators [Formula: see text] with a conformal weight [Formula: see text] in the boundary and study two and three point functions of [Formula: see text]-quasi-primary operators transformed as [Formula: see text]. Here, [Formula: see text] and [Formula: see text] are [Formula: see text] generators in the hyperbolic basis for Poincaré coordinates. It is shown that in the [Formula: see text] limit, the conformal weight changes to a new value [Formula: see text]. This may be regarded as a Renormalization Group (RG) flow. It is argued that this RG flow will be triggered by terms [Formula: see text] added to the action.

Quantum poincaré group for isotropic quantum space-time

1994 ◽  
Vol 44 (11-12) ◽  
pp. 1101-1107
Author(s):  
Kordian Andrzej Smoliński
Keyword(s):  
Space Time ◽  
Quantum Space ◽  
Poincaré Group ◽  
Poincare Group
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