共查询到11条相似文献,搜索用时 15 毫秒
1.
Recent progress in the field of lattice gauge theories is briefly reviewed for a nonspecialist audience. While the emphasis
is on the latest and more definitive results that have emerged prior to this symposium, an effort has been made to provide
them with minimal technicalities. 相似文献
2.
Technical details are given on how to use Fourier acceleration with iterative processes such as relaxation and conjugate gradient methods. These methods are often used to solve large linear systems of equations, but become hopelessly slow very rapidly as the size of the set of equations to be solved increases. Fourier acceleration is a method designed to alleviate these problems and result in a very fast algorithm. The method is explained for the Jacobi relaxation and conjugate gradient methods and is applied to two models: the random resistor network and the random central-force network. In the first model, acceleration works very well; in the second, little is gained. We discuss reasons for this. We also include a discussion of stopping criteria. 相似文献
3.
We discuss a general framework for the realization of a family of Abelian lattice gauge theories, i.e., link models or gauge magnets, in optical lattices. We analyze the properties of these models that make them suitable for quantum simulations. Within this class, we study in detail the phases of a U(1)-invariant lattice gauge theory in 2+1 dimensions, originally proposed by P. Orland. By using exact diagonalization, we extract the low-energy states for small lattices, up to 4×4. We confirm that the model has two phases, with the confined entangled one characterized by strings wrapping around the whole lattice. We explain how to study larger lattices by using either tensor network techniques or digital quantum simulations with Rydberg atoms loaded in optical lattices, where we discuss in detail a protocol for the preparation of the ground-state. We propose two key experimental tests that can be used as smoking gun of the proper implementation of a gauge theory in optical lattices. These tests consist in verifying the absence of spontaneous (gauge) symmetry breaking of the ground-state and the presence of charge confinement. We also comment on the relation between standard compact U(1) lattice gauge theory and the model considered in this paper. 相似文献
4.
We perform a Wilson Chiral Perturbation Theory (WChPT) analysis of quenched twisted mass lattice data. The data were generated
by two independent groups with three different choices for the critical mass. For one choice, the so-called pion mass definition,
one observes a strong curvature for small quark masses in various mesonic observables (“bending phenomenon”). Performing a
combined fit to the next-to-leading (NLO) expressions, we find that WChPT describes the data very well and the fits provide
very reasonable values for the low-energy parameters. 相似文献
5.
R. Ben-Av D. Kandel E. Katznelson P. G. Lauwers S. Solomon 《Journal of statistical physics》1990,58(1-2):125-139
We present a stochastic cluster algorithm that drastically reduces critical slowing down forZ
2 lattice gauge theory in three dimensions. The dynamical exponentz is reduced fromz>2 (standard Metropolis algorithm) tozO.73. The Monte Carlo pseudodynamics acts on the gauge-invariant flux tubes that are known to be the relevant large-scale low-energy excitations. A comparison of our results with known results for the 3D Ising model and
4 model supports the conjecture of universality classes for stochastic cluster algorithms. 相似文献
6.
We apply generalized Bogoliubov transformations to the transfer matrix of relativistic field theories regularized on a lattice. We derive the conditions these transformations must satisfy to factorize the transfer matrix into two terms which propagate fermions and antifermions separately, and we solve the relative equations under some conditions. We relate these equations to the saddle point approximation of a recent bosonization method and to the Foldy-Wouthuysen transformations which separate positive from negative energy states in the Dirac Hamiltonian. 相似文献
7.
F. Bruckmann C. Gattringer E. -M. Ilgenfritz M. Müller-Preussker A. Schäfer S. Solbrig 《The European Physical Journal A - Hadrons and Nuclei》2007,33(4):333-338
We systematically compare filtering methods used to extract topological excitations (like instantons, calorons, monopoles
and vortices) from lattice gauge configurations, namely APE-smearing and spectral decompositions based on lattice Dirac and
Laplace operators. Each of these techniques introduces ambiguities, which can invalidate the interpretation of the results.
We show, however, that all these methods, when handled with care, reveal very similar topological structures. Hence, these
common structures are free of ambiguities and faithfully represent infrared degrees of freedom in the QCD vacuum. As an application
we discuss an interesting power law for the clusters of filtered topological charge. 相似文献
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10.
We study the stationary points of what is known as the lattice Landau gauge fixing functional in one-dimensional compact U(1) lattice gauge theory, or as the Hamiltonian of the one-dimensional random phase XY model in statistical physics. An analytic solution of all stationary points is derived for lattices with an odd number of lattice sites and periodic boundary conditions. In the context of lattice gauge theory, these stationary points and their indices are used to compute the gauge fixing partition function, making reference in particular to the Neuberger problem. Interpreted as stationary points of the one-dimensional XY Hamiltonian, the solutions and their Hessian determinants allow us to evaluate a criterion which makes predictions on the existence of phase transitions and the corresponding critical energies in the thermodynamic limit. 相似文献
11.
Ph. Boucaud J. P. Leroy A. Le Yaouanc A. Y. Lokhov J. Micheli O. Pène J. Rodríguez-Quintero C. Roiesnel 《The European Physical Journal A - Hadrons and Nuclei》2007,31(4):750-753
We consider the constraints of the Slavnov-Taylor identity of the IR behaviour of gluon and ghost propagators and their compatibility
with solutions of the ghost Dyson-Schwinger equation and with the lattice picture. 相似文献