Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity

Домашня сторінка
→
Фізико-технічні та математичні науки
→
Відділення математики
→
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
→
Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
→
Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
→
Переглянути статтю

dc.contributor.author	Bonzom, V.
dc.contributor.author	Laddha, A.
dc.date.accessioned	2019-02-18T11:10:19Z
dc.date.available	2019-02-18T11:10:19Z
dc.date.issued	2012
dc.identifier.citation	Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity / V. Bonzom, A. Laddha // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 119 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 83C45; 57R56; 83C27
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2012.009
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148376
dc.description.abstract	We review some approaches to the Hamiltonian dynamics of (loop) quantum gravity, the main issues being the regularization of the Hamiltonian and the continuum limit. First, Thiemann's definition of the quantum Hamiltonian is presented, and then more recent approaches. They are based on toy models which provide new insights into the difficulties and ambiguities faced in Thiemann's construction. The models we use are parametrized field theories, the topological BF model of which a special case is three-dimensional gravity which describes quantum flat space, and Regge lattice gravity.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue \Loop Quantum Gravity and Cosmology". The full collection is available at http://www.emis.de/journals/SIGMA/LQGC.html. Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research and Innovation. A.L. is grateful to the Penn-State gravity group, especially Abhay Ashtekar, Miguel Campiglia, Adam Handerson and Casey Tomlin for many discussions related to the dynamical issues in LQG over past year. He is indebted to Madhavan Varadarajan for countably infinite discussions on the Hamiltonian constraint in LQG which crystallized his understanding about many of the issues discussed in this review. Work of A.L. is supported by the NSF grant, PHY-0854743.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA