Zobrazeno 1 - 10
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pro vyhledávání: '"Mäkinen, Ilkka"'
In the present article, we review the classical covariant formulation of Yang-Mills theory and general relativity in the presence of spacetime boundaries, focusing mainly on the derivation of the presymplectic forms and their properties. We further r
Externí odkaz:
http://arxiv.org/abs/2312.01918
Autor:
Mäkinen, Ilkka
We introduce a master constraint operator on the kinematical Hilbert space of loop quantum gravity representing a set of gauge conditions which classically fix the densitized triad to be diagonal. We argue that the master constraint approach provides
Externí odkaz:
http://arxiv.org/abs/2311.16648
Graphical techniques provide a very useful practical device for calculations involving the so-called spin network states, which encode the quantum degrees of freedom of spatial geometry in loop quantum gravity. Graphical calculus of SU(2), which has
Externí odkaz:
http://arxiv.org/abs/2304.00268
Autor:
Mäkinen, Ilkka
We introduce a new operator representing the three-dimensional scalar curvature in loop quantum gravity. The operator is constructed by writing the Ricci scalar classically as a function of the Ashtekar variables and regularizing the resulting expres
Externí odkaz:
http://arxiv.org/abs/2304.00271
Autor:
Lewandowski, Jerzy, Mäkinen, Ilkka
In a previous article we have introduced an operator representing the three-dimensional scalar curvature in loop quantum gravity. In this article we examine the new curvature operator in the setting of quantum-reduced loop gravity. We derive the expl
Externí odkaz:
http://arxiv.org/abs/2211.04826
Autor:
Lewandowski, Jerzy, Mäkinen, Ilkka
In this article we introduce a new operator representing the three-dimensional scalar curvature in loop quantum gravity. Our construction does not apply to the entire kinematical Hilbert space of loop quantum gravity; instead, the operator is defined
Externí odkaz:
http://arxiv.org/abs/2110.10667
Autor:
Mäkinen, Ilkka
Publikováno v:
Phys. Rev. D 102, 106010 (2020)
Quantum-reduced loop gravity is a model of loop quantum gravity, which - from the technical point of view - is characterized by the remarkably simple form of its basic operators. In this article we examine the operators of the quantum-reduced model f
Externí odkaz:
http://arxiv.org/abs/2004.00309
Autor:
Mäkinen, Ilkka
We present a pedagogical introduction to SU(2) recoupling theory, focusing on those aspects of the topic which are useful for practical calculations in loop quantum gravity. In particular, we give a self-contained presentation of the powerful graphic
Externí odkaz:
http://arxiv.org/abs/1910.06821
Autor:
Mäkinen, Ilkka
In this thesis we consider the problem of dynamics in canonical loop quantum gravity, primarily in the context of deparametrized models, in which a scalar field is taken as a physical time variable for the dynamics of the gravitational field. The dyn
Externí odkaz:
http://arxiv.org/abs/1910.00469
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