In physics, lattice field theory is the study of lattice models of quantum field theory. This involves studying field theory on a space or spacetime that...

In physics, lattice gauge theory is the study of gauge theories on a spacetime that has been discretized into a lattice. Gauge theories are important...

analytic field theories. In lattice QCD, fields representing quarks are defined at lattice sites (which leads to fermion doubling), while the gluon fields are...

field theory. Physical lattice models frequently occur as an approximation to a continuum theory, either to give an ultraviolet cutoff to the theory to...

A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered...

construct links and plaquettes which are the fundamental parameters in lattice gauge theory. Wilson loops fall into the broader class of loop operators, with...

broken. The theorem was first proved in 1975 by Shmuel Elitzur in lattice field theory, although the same result is expected to hold in the continuum limit...

effective field theory is a type of approximation, or effective theory, for an underlying physical theory, such as a quantum field theory or a statistical...

equations Kaluza–Klein theory Lattice gauge theory Lorenz gauge n = 4 supersymmetric Yang–Mills theory Propagator Quantum gauge theory Field theoretical formulation...

mathematics. The main fields of computational particle physics are: lattice field theory (numerical computations), automatic calculation of particle interaction...

In lattice field theory, the Nielsen–Ninomiya theorem is a no-go theorem about placing chiral fermions on a lattice. In particular, under very general...

In geometry and group theory, a lattice in the real coordinate space R n {\displaystyle \mathbb {R} ^{n}} is an infinite set of points in this space with...

In the mathematical discipline of order theory, a complemented lattice is a bounded lattice (with least element 0 and greatest element 1), in which every...

Tensor networks or tensor network states are a class of variational wave functions used in the study of many-body quantum systems and fluids. Tensor networks...

common in mathematical use. A lattice model that approximates a continuum quantum field theory in the limit as the lattice spacing goes to zero may correspond...

field theory in curved spacetime (QFTCS) is an extension of quantum field theory from Minkowski spacetime to a general curved spacetime. This theory uses...

In lattice field theory, staggered fermions (also known as Kogut–Susskind fermions) are a fermion discretization that reduces the number of fermion doublers...

In physics, a gauge theory is a type of field theory in which the Lagrangian, and hence the dynamics of the system itself, do not change under local transformations...

In lattice field theory, fermion doubling occurs when naively putting fermionic fields on a lattice, resulting in more fermionic states than expected....

Lattice density functional theory (LDFT) is a statistical theory used in physics and thermodynamics to model a variety of physical phenomena with simple...

physics, Hamiltonian lattice gauge theory is a calculational approach to gauge theory and a special case of lattice gauge theory in which the space is...

In lattice field theory, the Wilson action is a discrete formulation of the Yang–Mills action, forming the foundation of lattice gauge theory. Rather than...

field theory) Feynman diagram Green–Kubo relations Green's function (many-body theory) Group field theory Lattice field theory List of quantum field theories...

temporal component of the gauge field. In lattice field theory this operator is reformulated in terms of temporal link fields U 4 ( m , j ) {\displaystyle...

In physics and probability theory, Mean-field theory (MFT) or Self-consistent field theory studies the behavior of high-dimensional random (stochastic)...

Viewing lattices as partially ordered sets, this says that the meet operation preserves non-empty finite joins. It is a basic fact of lattice theory that...

and antiferromagnetic phases of spins on atomic lattices. Condensed matter physics is the largest field of contemporary physics. Historically, condensed...

In computer science, lattice problems are a class of optimization problems related to mathematical objects called lattices. The conjectured intractability...

approximation of density functional theory. The DMFT treatment of lattice quantum models is similar to the mean-field theory (MFT) treatment of classical models...

In quantum field theory, correlation functions, often referred to as correlators or Green's functions, are vacuum expectation values of time-ordered products...