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...field]], giving an algebraic generalisation of the way a [[Lattice (group)|lattice group]] is embedded in a [[real number|real]] vector space. ...''K''. An ''R''-[[submodule]] ''M'' of a ''K''-vector space ''V'' is a ''lattice'' if ''M'' is [[finitely generated module|finitely generated]] over ''R''. ...

{{Short description|Lattice fermion discretisation}} ...bcode=1974PhRvD..10.2445W }}</ref> They are widely used, for instance in [[lattice QCD]] calculations.<ref>{{cite book ...

{{Short description|Lattice fermion discretisation}} In [[lattice field theory]], '''twisted mass fermions''' are a [[fermion]] discretization that extend ...

In mathematics, specifically in [[order theory]] and [[functional analysis]], if <math>C</math> is a cone at 0 in a vector ...e theory of [[ordered topological vector space]]s and [[topological vector lattice]]s. ...

{{Short description|Lattice fermion discretisation}} ...s to avoid the [[fermion doubling]] problem, widely used for instance in [[lattice QCD]] calculations.<ref>{{cite book ...

{{Short description|Lattice fermion discretisation}} In [[lattice field theory]], '''domain wall (DW) fermions''' are a [[fermion]] discretization avoidin ...

{{Short description|Lattice fermion discretisation}} In [[lattice field theory]], '''overlap fermions''' are a [[fermion]] discretization that allows to a ...

...tal structure|crystal lattice]]. The energy of the electrons in the "empty lattice" is the same as the energy of free electrons. The model is useful because i ...ice-Approximation.svg|thumb|400px|Free electron bands in a one dimensional lattice]] ...

{{Short description|Lattice gauge theory action}} ...sRevD.10.2445|url-status=live}}</ref> launching the study of lattice field theory. ...

{{Short description|Two dimensional conformal field theory}} ...8/1751-8113/47/45/452001|title=Parafermionic conformal field theory on the lattice|first1=Roger S K|last1=Mong|first2=David J|last2=Clarke|first3=Jason|last3= ...

...ttice (discrete subgroup)|lattices]] in Lie groups, often under the name ''field of definition''. === Trace field and invariant trace fields for Fuchsian groups === ...

...g|first=D.|author-link=David Tong (physicist)|title=Lecture Notes on Gauge Theory|chapter=4|pages=232|date=2018|chapter-url=https://www.damtp.cam.ac.uk/user/ == Lattice regularization == ...

...eneralisation of the [[transverse-field Ising model]] . It is defined on a lattice with <math>N</math> states on each site. The [[Hamiltonian (quantum mechani Here, the subscripts refer to lattice sites, and the sum <math>\sum_{\langle i, j \rangle}</math> is done over pa ...

...form}}: '''schemata''') is a template in [[computer science]] used in the field of [[genetic algorithm]]s that identifies a [[subset]] of strings with simi Recently schema have been studied using [[order theory]].<ref name = "Fletcher"> ...

...herical fusion categories and modular tensor categories to the [[algebraic theory of topological quantum information]], this theorem has found various uses w == Interpretation in terms of topological quantum field theory == ...

...system. The density of states has the units of inverse energy. On a finite lattice, <math>\epsilon(k)</math> is replaced by discrete levels <math>\epsilon_i</ ...tained from the [[Hubbard model]] by applying the [[Mean field theory|mean-field approximation]]. The particle density operators are written as their mean v ...

...random collection of interfaces converges in law to CLE₆ as the lattice spacing goes to zero.]] ...from black hexagons. This path converges in law to SLE₆ as the lattice spacing goes to zero.]] ...

...memory when considered as a thermal physical system in [[statistical field theory]].<ref>{{cite journal |last=Bernd Gartner |first=Ahad N. Zehmakan |year=201 ...itialized to some value. At each discrete time step <math>(t>0)</math> the lattice evolves according to Toom's rule. This rule is applied at each site simulta ...

Menger and Birkhoff gave axioms for projective geometry in terms of the lattice of linear subspaces of projective space. Von Neumann's axioms for continuou A continuous geometry is a [[lattice (order)|lattice]] ''L'' with the following properties ...

{{Short description|Type of symmetry in quantum theory}} ==In field theory== ...