Computational Physics: An Introduction to Monte Carlo Simulations of Matrix Field Theory

Computational Physics

An Introduction to Monte Carlo Simulations of Matrix Field Theory

2017 • 292 pages

Euler algorithm -- Classical numerical integration -- Newton-Raphson algorithms and interpolation -- The solar system-the Runge-Kutta methods -- Chaotic pendulum -- Molecular dynamics -- Pseudo random numbers and random walks -- Monte Carlo integration -- The Metropolis algorithm and the Ising model -- Metropolis algorithm for Yang-Mills matrix models -- Hybrid Monte Carlo algorithm for noncommutative Phi-Four -- Lattice HMC simulations of Phi 4/2: a lattice example -- (Multi-trace) quartic matrix models -- The Remez algorithm and the conjugate gradient method -- Monte Carlo simulation of fermion determinants -- U(1) gauge theory on the lattice: another lattice example -- Codes

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