Two-dimensional quantum gravity – a laboratory for fluctuating graphs and quenched connectivity disorder

Two-dimensional quantum gravity – a laboratory for fluctuating graphs and quenched connectivity disorder

Інші назви: Двовимірна квантова гравітація - лабораторія для флюкуючих графів та безладу заморожених зв'язків

Інший ID: PACS: 04.60.-m, 05.10.Ln, 05.50.+q, 64.60.Fr
DOI:10.5488/CMP.9.2.263

URI: http://dspace.nbuv.gov.ua/handle/123456789/121321

Посилання: Two-dimensional quantum gravity – a laboratory for fluctuating graphs and quenched connectivity disorder / W. Janke, D.A. Johnston, M. Weigel // Condensed Matter Physics. — 2006. — Т. 9, № 2(46). — С. 263–282. — Бібліогр.: 86 назв. — англ.

Підтримка: W.J. wishes to thank Bertrand Berche, Arnaldo Donoso and Ricardo Paredes for organising this most enjoyable and very fruitful Summer School in Mochima, Venezuela. And also a big thanks to all students and co-organisers who made this meeting so pleasant. This work was partially supported by the EC RTN-networks ‘EUROGRID’: Discrete Random Geometries: From solid state physics to quantum gravity under grant No. HPRN–CT–1999–00161 and ‘ENRAGE’: Random Geometry and Random Matrices: From Quantum Gravity to Econophysics under grant No. MRTN– CT–2004–005616. M.W. acknowledges support by the EC “Marie Curie Individual Intra-European Fellowships” programme under contract No. MEIF–CT–2004–501422.

Дата: 2006

Завантажень: 399

Two-dimensional quantum gravity – a laboratory for fluctuating graphs and quenched connectivity disorder

Анотація:

This paper gives a brief introduction to using two-dimensional discrete and Euclidean quantum gravity approaches as a laboratory for studying the properties of fluctuating and frozen random graphs in interaction with “matter fields” represented by simple spin or vertex models. Due to the existence of numerous exact analytical results and predictions for comparison with simulational work, this is an interesting and useful enterprise.

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