0000000000824444

AUTHOR

Harald Markum

showing 2 related works from this author

Z2-Regge versus standard Regge calculus in two dimensions

1999

We consider two versions of quantum Regge calculus: the standard Regge calculus where the quadratic link lengths of the simplicial manifold vary continuously and the ${Z}_{2}$ Regge model where they are restricted to two possible values. The goal is to determine whether the computationally more easily accessible ${Z}_{2}$ model still retains the universal characteristics of standard Regge theory in two dimensions. In order to compare observables such as the average curvature or Liouville field susceptibility, we use in both models the same functional integration measure, which is chosen to render the ${Z}_{2}$ Regge model particularly simple. Expectation values are computed numerically and …

PhysicsNuclear and High Energy PhysicsSimplicial manifoldOrder (ring theory)Regge calculusField (mathematics)Measure (mathematics)Regge theoryHigh Energy Physics::TheoryGeneral Relativity and Quantum CosmologyMean field theoryQuantum mechanicsQuantum gravityMathematical physicsPhysical Review D
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Standard and Z2-Regge theory in two dimensions

1998

Abstract We qualitatively compare two versions of quantum Regge calculus by means of Monte Carlo simulations. In Standard Regge Calculus the quadratic link lengths of the triangulation vary continuously, whereas in the Z2-Regge Model they are restricted to two possible values. The goal is to determine whether the computationally more easily accessible Z2 model retains the characteristics of standard Regge theory.

Nuclear and High Energy PhysicsHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyMonte Carlo methodTriangulation (social science)Regge calculusAtomic and Molecular Physics and OpticsRegge theoryHigh Energy Physics::TheoryGeneral Relativity and Quantum CosmologyQuadratic equationQuantum electrodynamicsQuantum gravityHigh Energy Physics::ExperimentStatistical physicsLink (knot theory)QuantumMathematicsNuclear Physics B - Proceedings Supplements
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