AbstractAbstract
[en] Spin foams are nonperturbative models that describe spacetime at the Planck scale. They have been introduced starting from loop quantum gravity, but have consequently been recognized in other approaches. The most prominent of all is the Barrett-Crane model. However, this is a description of pure gravity and various attempts have been made in order to introduce matter in this general setting. The present paper describes the coupling of a massless scalar field to the Riemannian Barrett-Crane model and is, to our best knowledge, the first attempt of this kind. The main result is the computation of the partition function for the coupled model. This exhibits the general structure of a spin foam partition function. It is given by a product of face, edge and vertex amplitudes together with a sum over the irreducible representations of both the gauge group of the scalar field and the gauge group of gravity. (author)
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Chirlesan, Dumitru (ed.) (University of Pitesti, Str. V. Milea 1, RO-0300 Pitesti (Romania)); Ministry of Education, Research and Youth, Bucharest (Romania); Romanian Physical Society, Bucharest (Romania); University of Pitesti, Str. V. Milea 1, RO-0300 Pitesti (Romania); Institute for Nuclear Research, PO Box 78, Str. Colibasi, RO-0300 Pitesti (Romania); Romanian Nuclear Activities Authority, RAAN, 1, Nicolae Iorga Street, RO-1500 Drobeta Turnu Severin (Romania). Funding organisation: Ministry of Education, Research and Youth, Bucharest (Romania); Romanian Physical Society, Bucharest (Romania); University of Pitesti, Str. V. Milea 1, RO-0300 Pitesti (Romania); Institute for Nuclear Research, PO Box 78, Str. Colibasi, RO-0300 Pitesti (Romania); Romanian Nuclear Activities Authority, RAAN, 1, Nicolae Iorga Street, RO-1500 Drobeta Turnu Severin (Romania); 109 p; 2004; p. 23; National Physics Conference 2004; Conferinta Nationala de Fizica, 2004; Pitesti (Romania); 9-11 Sep 2004; Available from author(s) or University of Pitesti Publisher, Str. V. Milea 1, RO-0300 Pitesti (RO). Also available from E-mail: madalinaristoiu@yahoo.com; Available from University of Pitesti Publisher, Str. V. Milea 1, RO-0300 Pitesti (RO). Also available from E-mail: madalinaristoiu@yahoo.com; Short communication
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Miscellaneous
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Conference
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