Related:
Character (mathematics),
Character theory,
Colour confinement,
Compact group,
Digital object identifier,
Edge (graph theory),
Euclidean space,
Exactly solvable,
Extrapolation,
Faithful representation,
Fermion doubling,
Group inverse,
Hamiltonian lattice gauge theory,
Irreducible representation,
Jan Smit (physicist),
Lattice (group),
Lattice QCD,
Lattice field theory,
Lie group,
Mass,
Monte Carlo method,
Monte Carlo simulation,
Parallel transport,
Path integral formulation,
Physics,
Probability,
Pseudoreal representation,
Quantum chromodynamics,
Quark-gluon plasma,
Quenched approximation,
Real representation,
Solid state physics,
Special unitary group,
Special unitary matrix,
Spin foam,
Trace (matrix),
Vertex (geometry),
Wick rotated,
Wilson loop,
Yang-Mills action,
In physics, lattice gauge theory is the study of gauge theories on a spacetime that has been discretized onto a lattice. Although most lattice gauge theories are not exactly solvable, they are of tremendous appeal because they can be studied by simulation on a computer. One hopes that, by performing simulations on larger and larger lattices, while making the lattice spacing smaller and smaller, one finally will be able to recover the behaviour of the continuum theory.
In mathematics, a character is (most commonly) a special kind of function from a group to a field (such as the complex numbers). There are at least two distinct, but overlapping meanings. Other uses of the word "character" are almost always qualified.
In mathematics, more specifically in group theory, the character of a group representation is a function on the group which associates to each group element the trace of the corresponding matrix. The character carries the essential information about the representation in a more condensed form. Georg Frobenius initially developed representation theory of finite groups entirely based on the characters, and without any explicit matrix realization of representations themselves. This is possible because a complex representation of a finite group is determined (up to isomorphism) by its character. The situation with representations over a field of positive characteristic, so-called "modular representations", is more delicate, but Richard Brauer developed a powerful theory of characters in this case as well. Many deep theorems on the structure of finite groups use characters of modular representations.
Color confinement, often simply called confinement, is the physics phenomenon that color charged particles (such as quarks) cannot be isolated singularly, and therefore cannot be directly observed.[1] Quarks, by default, clump together to form groups, or hadrons. The two types of hadrons are the mesons (one quark, one antiquark) and the baryons (three quarks). The constituent quarks in a group cannot be separated from their parent hadron, and this is why quarks can never be studied or observed in any more direct way than at a hadron level.[2]In mathematics, a compact (topological, often understood) group is a topological group whose topology is compact. Compact groups are a natural generalisation of finite groups with the discrete topology and have properties that carry over in significant fashion. Compact groups have a well-understood theory, in relation to group actions and representation theory.
The Digital Object Identifier (DOI) System is a managed system for persistent identification of content-related entities on digital networks.[1] These entities may be content items (digital files, physical objects, abstract works), or any related entities in a content transaction (e.g. licenses, parties, etc.). "DOI" is sometimes used to mean the identifiers within this system; hence the use of the term alone is deprecated unless the meaning is sufficiently clear from an earlier mention or the specific context: instead it should always be used in conjunction with a specific noun. The DOI name is the identifier string that specifies a unique object (the referent) within the DOI System; the DOI syntax is the form and sequence of characters comprising any DOI name, specifically the prefix element, separator, and suffix element; and the DOI System is the functional deployment of DOI names as identifiers in computer sensible form through assignment, resolution, referent description, administration, etc. Hence DOI is not primarily a numbering system - it is primarily a globally consistent persistent identifier resolution system combined with a coherent approach to creating the identifiers, plus metadata, and a social structure to back up the persistence which is enabled by the technology.