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Four-dimensional quantum universe on a computer
Konferencja
Zjazd Fizyków Polskich (38 ; 2005 ; Warszawa, Polska)
Języki publikacji
Abstrakty
The question: ,,what is the structure of the universe at the Planck scale (lO^-35 m)" is a long-standing problem of theoretical physics. We can expect that at this scale the spacetime becomes non-homogeneous, with rapid quantum fluctuations of geometry. The correct description of such a structure should be quantum theory of gravity and construction of such a theory is one of the biggest challenges in theoretical physics. Quantum theory of gravity should at the same time explain the macroscopic four-dimensional geometry of the universe, described by the general theory of relativity. In this article a possible construction of such a theory, based on the method of causal dynamical triangulations, is discussed. This theory gave for the first time a description which connects the short-distance quantum effects with a correct long-range asymptotics. Preliminary results obtained for a model of ,,pure gravity" without matter are discussed. Even this simple version of the model predicts instability, leading to the Big Bang, and a four-dimensional universe on a macroscopic scale.
Wydawca
Czasopismo
Rocznik
Tom
Strony
165--173
Opis fizyczny
Bibliogr. 17 poz., rys., wykr.
Twórcy
autor
- Centrum Badań Systemów Złożonych im. Marka Kaca, Uniwersytet Jagielloński
Bibliografia
- [1] C. Kiefer, Quantum gravity (Oxford University Press, Oxford 2004).
- [2] L. Smolin, Three roads to quantum gravity (Weidenfeld and Nicolson, London 2000).
- [3] B. Zwiebach, A first course in string theory (Cambridge University Press, Cambridge 2004).
- [4] R. Loll, Lecture Notes in Physics 631, 137 (2003); J. Ambjørn, Plenary talk given at 16th International Conference on General Relativity and Gravitation (GR16), Durban, South Africa (gr-qc/0201028); R. Loll, Nucl. Phys. Proc. Suppl. 94, 96 (2001).
- [5] J. Ambjørn, J. Jurkiewicz, R. Loll, Phys. Rev. Lett. 93, 131301 (2004).
- [6] J. Ambjørn, J. Jurkiewicz, R. Loll, Phys. Lett. B607, 205 (2005).
- [7] J. Ambjørn, J. Jurkiewicz, R. Loll, preprint Utrecht, May 2005 (hep-th/0505113).
- [8] J. Ambjørn, J. Jurkiewicz, R. Loll, preprint Utrecht, May 2005 (hep-th/0505154).
- [9] R.P. Feynman, A.R. Hibbs, Quantum mechanics and path integrals (McGraw-Hill, New York 1965); H. Kleinert, Path integrals in quantum mechanics, statistics and polymer physics, wyd. 2 (World Scientific, Singapore 1994).
- [10] T. Regge, Nuovo Cim. A 19, 558 (1961).
- [11] R.M. Williams, Nucl. Phys. B (Proc. Suppl.) 57, 73 (1997).
- [12] H.W. Hamber, Phys. Rev. D 61, 124008 (2000); Nucl. Phys. B 400, 347 (1993).
- [13] M.E. Agishtein, A.A. Migdal, Nucl. Phys. B 385, 395 (1992); J. Ambjørn, J. Jurkiewicz, Phys. Lett. B278, 42 (1992).
- [14] Euclidean quantum gravity, red. G.W. Gibbons, S.W. Hawking (World Scientific, Singapore 1993); J.J. Halliwell, w: Jerusalem Winter School 1989, s. 159.
- [15] P. Bialas i in., Nucl. Phys. B 472, 293 (1996); P. Bialas i in., Nucl. Phys. B 495, 463 (1997); S. Catterall, J.B. Kogut, R. Renken, Phys. Lett. B328, 277 (1994); Phys. Lett. B416, 274 (1998).
- [16] J. Ambjørn, R. Loll, Nucl. Phys. B 536, 407 (1998); J. Ambjørn i in., Chaos, Solitons & Fractals 10, 177 (1999); J. Ambjørn, K.N. Anagnostopoulos, R. Loll, Phys. Rev. D 60, 104035 (1999); P. Di Francesco, E. Guitter, C. Kristjansen, Nucl. Phys. B 567, 515 (2000); J. Ambjørn, K.N. Anagnostopoulos, R. Loll, Nucl. Phys. Proc. Suppl. 83, 733 (2000); Phys. Rev. D 61, 044010 (2000); Nucl. Phys. Proc. Suppl. 88, 241 (2000); J. Ambjørn i in., Phys. Lett. B475, 24 (2000); J. Ambjørn, J. Jurkiewicz, R. Loll, w: M-Theory and Quantum Geometry, red. L. Thorlacius, T. Jonsson, NATO Science Series (Kluwer Academic Publishers, 2000), s. 382-449; P. Di Francesco, E. Guitter, C. Kristjansen, Nucl. Phys. B 608, 485 (2001); R. Loll, W. Westra, preprint Utrecht, June 2003 (hep-th/0306183); Acta Phys. Polon. B 34, 4997 (2003); R. Loll, W. Westra, S. Zohren, preprint Utrecht, July 2005 (hep-th/0507012).
- [17] J. Ambjørn, J. Jurkiewicz, R. Loll, Phys. Rev. D 64, 044011 (2001); Nucl. Phys. Proc. Suppl. 94, 689 (2001); J. Ambjørn i in., JHEP09(2001)022; J. Ambjørn, J. Jurkiewicz, R. Loll, Nucl. Phys. Proc. Suppl. 106, 980 (2002); J. Ambjørn i in., Nucl. Phys. Proc. Suppl. 106, 977 (2002); B. Dittrich, R. Loll, Phys. Rev. D 66, 084016 (2002); J. Ambjørn, J. Jurkiewicz, R. Loll, Phys. Lett. B581, 255 (2004); J. Ambjørn i in., Acta Phys. Polon. B 34, 4667 (2003).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0011-0003