It has been suggested that Lattice QCD be merged into this article or section. (Discuss) Lattice field theory can be thought of as a quantization procedure for a field theory. It has the advantage that it is not restricted to being a perturbative method, and can easily deal with trivial as well as complicated vacuum states of quantum field theories. Also, one can use methods from statistical physics in lattice field theory. Usually lattice field theory is applied to numerical computation of quantum amplitudes. Image File history File links Please see the file description page for further information. ...
It has been suggested that this article or section be merged into Lattice field theory. ...
Image File history File links Please see the file description page for further information. ...
It has been suggested that lattice field theory be merged into this article or section. ...
In physics, quantization is a procedure for constructing a quantum field theory starting from a classical field theory. ...
Field theory (mathematics), the theory of the algebraic concept of field. ...
In quantum field theory, the vacuum state, usually denoted , is the element of the Hilbert space with the lowest possible energy, and therefore containing no physical particles. ...
Quantum field theory (QFT) is the application of quantum mechanics to fields. ...
The method is particularly appealing for the quantization of a gauge theory. Most quantization methods keep Poincare invariance manifest but sacrifice manifest gauge symmetry by requiring gauge fixing. Only after renormalization can gauge invariance be recovered. Lattice field theory differs from these in that it keeps manifest gauge invariance, but sacrifices manifest Poincare invariance— recovering it only after renormalization. Gauge theories are a class of physical theories based on the idea that symmetry transformations can be performed locally as well as globally. ...
Poincare symmetry is the full symmetry of special relativity and includes translations (ie, displacements) in time and space (these form the Abelian Lie group of translations on space-time) rotations in space (this forms the non-Abelian Lie group of 3-dimensional rotations) boosts, ie, transformations connecting two uniformly moving...
Gauge theories are a class of physical theories based on the idea that symmetry transformations can be performed locally as well as globally. ...
In the physics of gauge theories, gauge fixing (also called choosing a gauge) denotes the act of removing redundant field variables. ...
Figure 1. ...
Gauge theories are a class of physical theories based on the idea that symmetry transformations can be performed locally as well as globally. ...
Figure 1. ...
See also
It has been suggested that this article or section be merged into Lattice field theory. ...
It has been suggested that lattice field theory be merged into this article or section. ...
In physics, canonical quantization is one of many procedures for quantizing a classical theory. ...
The path integral formulation of quantum mechanics was developed in 1948 by Richard Feynman. ...
References and external links - M. Creutz, Quarks, gluons and lattices
- G. Munster and I. Montvay, Lattice Gauge Theory
- J. Smit, Lattice Gauge Theory
- FermiQCD A standard library of algorithms for lattice QCD
| Quantum field theory | Field theory - overview of QFT - gauge theory - quantization - renormalization - partition function - vacuum state - anomaly - spontaneous symmetry breaking - condensates
Some models: standard model - quantum electrodynamics - quantum chromodynamics In physics, a field is an assignment of a quantity to every point in space (or more generally, spacetime). ...
Quantum field theory (QFT) is the application of quantum mechanics to fields. ...
Gauge theories are a class of physical theories based on the idea that symmetry transformations can be performed locally as well as globally. ...
In physics, quantization is a procedure for constructing a quantum field theory starting from a classical field theory. ...
Figure 1. ...
In quantum field theory, we have a generating functional, Z[J] of correlation functions and this value, called the partition function is usually expressed by something like the following functional integral: where S is the action functional. ...
In quantum field theory, the vacuum state, usually denoted , is the element of the Hilbert space with the lowest possible energy, and therefore containing no physical particles. ...
In physics, an anomaly is a classical symmetry — a symmetry of the Lagrangian — that is broken in quantum field theories. ...
Spontaneous symmetry breaking in physics takes place when a system that is symmetric with respect to some symmetry group goes into a vacuum state that is not symmetric. ...
The vacuum expectation value (also called vacuum condensate) of an operator is its average, expected value in the vacuum. ...
This article may be too technical for most readers to understand. ...
This is a detailed description of the standard model (SM) of particle physics. ...
Quantum electrodynamics (QED) is a quantum field theory of electromagnetism. ...
Quantum chromodynamics (QCD) is the theory of the strong interaction, a fundamental force describing the interactions of the quarks and gluons found in nucleons (such as the proton and neutron). ...
Related topics: quantum mechanics - Poincare symmetry Fig. ...
Poincare symmetry is the full symmetry of special relativity and includes translations (ie, displacements) in time and space (these form the Abelian Lie group of translations on space-time) rotations in space (this forms the non-Abelian Lie group of 3-dimensional rotations) boosts, ie, transformations connecting two uniformly moving...
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