Z2-Regge versus Standard Regge Calculus in two dimensions
E. Bittner, A. Hauke, H. Markum, J. Riedler, C. Holm, W. Janke
Abstract
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 Z2-Regge Model where they are restricted to two possible values. The goal is to determine whether the computationally more easily accessible Z2 model still retains the universal characteristics of standard Regge theory in two dimensions. In order to compare observables such as average curvature or Liouville field susceptibility, we use in both models the same functional integration measure, which is chosen to render the Z2-Regge Model particularly simple. Expectation values are computed numerically and agree qualitatively for positive bare couplings. The phase transition within the Z2-Regge Model is analyzed by mean-field theory.
Create a lesson
Related papers
Efficient Quantum Simulations of Yang-Mills theory with Maximal-tree Gauge
Tianyin Li, Ying-Ying Li, Xiaoyang Wang et al.
Physics-informed quantum algorithms for glueball-like excitations in a Z2 lattice gauge theory
Dan-Bo Zhang
Anomalous behavior of Wilson fermions in the presence of monopoles
Manuel Cortina, Rajamani Narayanan, Ray Romero
Direct lattice QCD calculation of the θ-induced CP-violating pion-nucleon coupling
Chuan-Yang Li, Jun Hua, Jian Liang et al.
Calculation of neutron electric dipole moment from Lattice QCD
Thomas Blum, Fangcheng He, Taku Izubuchi et al.
Exponential-in-Nc2 cost reduction of product-formula-based quantum simulations of quantum chromodynamics
Zohreh Davoudi, Jesse R. Stryker