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Quantum Gravity with Matter Fields in Two Dimensions

  • Elmar Bittner
  • Wolfhard Janke
  • Harald Markum
  • Jürgen Riedler
Conference paper
  • 749 Downloads
Part of the Lecture Notes in Physics book series (LNP, volume 543)

Abstract

Spin systems coupled to two-dimensional manifolds are studied as a simple example for matter fields coupled to gravity. We consider two versions of quantum Regge calculus. The Standard Regge Calculus [1] where the quadratic link lengths q of the simplicial manifold vary continuously and the Discrete Regge Model [2] where they are restricted to two possible values. These manifolds are coupled with Z2 spins [3].

Keywords

Partition Function Quantum Gravity Critical Exponent Spin Coupling Matter Field 
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References

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    T. Regge, Nuovo Cimento 19 (1961) 558MathSciNetCrossRefGoogle Scholar
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    W. Beirl, P. Homolka, B. Krishnan, H. Markum, and J. Riedler, Nucl. Phys. B (Proc. Suppl.) 42 (1995) 710Google Scholar
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    C. Holm and W. Janke, Phys. Lett. B335 (1994) 143ADSGoogle Scholar
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    E. Bittner, A. Hauke, C. Holm, W. Janke, H. Markum, and J. Riedler, Nucl. Phys. B (Proc. Suppl.) 63A-C (1998) 769ADSGoogle Scholar
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    V.G. Knizhnik, A.M. Polyakov, and A.B. Zamolodchikov, Mod. Phys. Lett. A3 (1988) 819ADSMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Elmar Bittner
    • 1
    • 2
  • Wolfhard Janke
    • 2
  • Harald Markum
    • 1
  • Jürgen Riedler
    • 1
  1. 1.Institut für KernphysikTechnische Universität WienWienAustria
  2. 2.Institut für Theoretische PhysikUniversität LeipzigLeipzigGermany

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