A MONTE CARLO STUDY OF THE O(3) σ-MODEL ON A CURVED RANDOM SURFACE

1989 ◽  
Vol 04 (05) ◽  
pp. 475-481 ◽  
Author(s):  
HIROSHI KOIBUCHI ◽  
MITSURU YAMADA
Keyword(s):  
Monte Carlo ◽  
Magnetic Susceptibility ◽  
Specific Heat ◽  
Continuum Limit ◽  
Pair Correlation ◽  
Monte Carlo Study ◽  
Link Length ◽  
Random Surface ◽  
Random Lattice ◽  
The Continuum

The O(3) σ-model is studied numerically on a curved random surface, which is constructed from a flat random lattice by the change of each link length. The pair correlation, the specific heat and the magnetic susceptibility are calculated. It is shown that the continuum limit of the model can be obtained when the curvature is reasonably small.

scholarly journals Testing algorithms for critical slowing down

2018 ◽  
Vol 175 ◽  
pp. 02008 ◽  
Author(s):  
Guido Cossu ◽  
Peter Boyle ◽  
Norman Christ ◽  
Chulwoo Jung ◽  
Andreas Jüttner ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Topological Charge ◽  
Continuum Limit ◽  
Critical Slowing Down ◽  
Gauge Fields ◽  
Hybrid Monte Carlo ◽  
Slowing Down ◽  
Testing Algorithms ◽  
New Algorithms ◽  
The Continuum

We present the preliminary tests on two modifications of the Hybrid Monte Carlo (HMC) algorithm. Both algorithms are designed to travel much farther in the Hamiltonian phase space for each trajectory and reduce the autocorrelations among physical observables thus tackling the critical slowing down towards the continuum limit. We present a comparison of costs of the new algorithms with the standard HMC evolution for pure gauge fields, studying the autocorrelation times for various quantities including the topological charge.

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