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An unconventional pathway to correlate the octahedral tilt coupling and spin-orbit reconstruction at oxide interfaces. [PDF]
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International Journal of Modern Physics E, 2007
Starting with the example of the quantum mechanical harmonic oscillator, we develop the concept of euclidean lattice field theory. After describing Wilson's formulation of quantum chromodynamics on the lattice, we will introduce modern lattice QCD actions which greatly reduce lattice artefacts or are even chiral invariant.
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Starting with the example of the quantum mechanical harmonic oscillator, we develop the concept of euclidean lattice field theory. After describing Wilson's formulation of quantum chromodynamics on the lattice, we will introduce modern lattice QCD actions which greatly reduce lattice artefacts or are even chiral invariant.
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2021
The purpose of this chapter is to introduce the basic idea of the lattice formalism. First, we review the quantization via the Feynman path integral. Then, we discuss the lattice regularization of both free boson systems and free fermion systems. We encounter the lattice gauge theory with the gauge principle afterwards.
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The purpose of this chapter is to introduce the basic idea of the lattice formalism. First, we review the quantization via the Feynman path integral. Then, we discuss the lattice regularization of both free boson systems and free fermion systems. We encounter the lattice gauge theory with the gauge principle afterwards.
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Reports on Progress in Physics, 1984
The use of lattice approximations to study relativistic quantum field theories is surveyed. The models for scalar, gauge and fermionic degrees of freedom are defined. The standard methods for analytic study of these models using strong coupling, duality and mean field methods are outlined. The important area of numerical Monte Carlo simulations is also
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The use of lattice approximations to study relativistic quantum field theories is surveyed. The models for scalar, gauge and fermionic degrees of freedom are defined. The standard methods for analytic study of these models using strong coupling, duality and mean field methods are outlined. The important area of numerical Monte Carlo simulations is also
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Embedding lattice field theory in continuum field theory
Physical Review D, 1980Lattice field theory is embedded in ultraviolet-finite continuum theory by transforming a finite number of continuum degrees of freedom into lattice degrees of freedom. The resulting Hamiltonian is equivalent to the continuum Hamiltonian, and consists of the lattice Hamiltonian plus corrections.
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Langevin simulations of lattice field theories
Physical Review D, 1985We present a new analysis of Langevin simulation techniques for lattice field theories, including a general discussion of errors and algorithm speed. We introduce Fourier techniques that greatly accelerate simulations on large lattices. We also introduce a new technique for including quark vacuum-polarization corrections that admits any number of ...
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Overrelaxation algorithms for lattice field theories
Physical Review D, 1988We study overrelaxation algorithms for the thermalization of lattice field theories with multiquadratic and more general actions. Overrelaxation algorithms are one-parameter generalizations of the heat-bath algorithm which satisfy the detailed-balance condition; the parameter is the relaxation parameter ..omega.., 0 ..0 (extreme underrelaxation) limit ...
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