Results 341 to 350 of about 2,466,647 (365)
Some of the next articles are maybe not open access.
, 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.
R. Yanagihara
semanticscholar +3 more sources
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.
R. Yanagihara
semanticscholar +3 more sources
Generative Diffusion Models for Lattice Field Theory
arXiv.org, 2023This study delves into the connection between machine learning and lattice field theory by linking generative diffusion models (DMs) with stochastic quantization, from a stochastic differential equation perspective. We show that DMs can be conceptualized
L. Wang, Gert Aarts, Kai Zhou
semanticscholar +1 more source
Improved information criteria for Bayesian model averaging in lattice field theory
Physical Review D, 2022Bayesian model averaging is a practical method for dealing with uncertainty due to model specification. Use of this technique requires the estimation of model probability weights.
E. Neil, Jacob W. Sitison
semanticscholar +1 more source
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.
openaire +3 more sources
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.
openaire +3 more sources
Symmetry decomposition of relative entropies in conformal field theory
Journal of High Energy Physics, 2021We consider the symmetry resolution of relative entropies in the 1+1 dimensional free massless compact boson conformal field theory (CFT) which presents an internal U(1) symmetry.
Hui Chen
semanticscholar +1 more source
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
openaire +2 more sources
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
openaire +2 more sources
Pramana, 1985
Lattice field theories are described as a way to regularize continuum quantum field theories. They are obtained by replacing ordinary space time by a lattice, space time derivatives by suitable differences and Minkowski by Euclidean space. The connection between a quantum field theory isd space dimension and classical statistical mechanics in (d+1 ...
openaire +2 more sources
Lattice field theories are described as a way to regularize continuum quantum field theories. They are obtained by replacing ordinary space time by a lattice, space time derivatives by suitable differences and Minkowski by Euclidean space. The connection between a quantum field theory isd space dimension and classical statistical mechanics in (d+1 ...
openaire +2 more sources
Gauge field theories on a lattice
Annals of Physics, 1978We begin a rigorous, nonperturbative investigation of quantum field theories with local internal symmetries. We discuss the lattice approximation of Yang-Mills fields and of fermion fields in the Euclidean setup and we verify physical positivity for the Schwinger functions of these approximations.
Erhard Seiler, Konrad Osterwalder
openaire +2 more sources