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46 papers · 1 filter
Monte Carlo simulation of -dimensional quantum field theory
Wolfhard Janke, Tilman Sauer
We report results of a Monte Carlo simulation of the quantum field theory using multigrid simulation techniques and a refined discretization scheme. The resulting accuracy of…
Application of Multicanonical Multigrid Monte Carlo Method to the Two-Dimensional -Model: Autocorrelations and Interface Tension
Wolfhard Janke, Tilman Sauer
We discuss the recently proposed multicanonical multigrid Monte Carlo method and apply it to the scalar -model on a square lattice. To investigate the performance of the new a…
Renormalization and Knot Theory
Dirk Kreimer
We investigate to what extent renormalization can be understood as an algebraic manipulation on concatenated one-loop integrals. We find that the resulting algebra indicates a usef…
Test of variational approximation for quantum chain by Monte Carlo simulation
Wolfhard Janke, Tilman Sauer
We report results of a Monte Carlo simulation of the quantum chain. In order to enhance the efficiency of the simulation we combine multigrid simulation techniques with a ref…
The Drell-Hearn-Gerasimov Sum Rule
D. Drechsel
The Drell-Hearn-Gerasimov (DHG) sum rule relates the helicity structure of the photoabsorption cross section to the anomalous magnetic moment of the nucleon. It is based on Lorentz…
Ordered vs Disordered: Correlation Lengths of 2D Potts Models at β_t
Wolfhard Janke, Stefan Kappler
We performed Monte Carlo simulations of two-dimensional -state Potts models with , and and measured the spin-spin correlation function at the first-order transitio…