منابع مشابه
Electromagnetic Theory on a Lattice
In this paper, a self-contained electromagnetic theory is derived on a regular lattice. The discretized form of integral and diierential calculus, which is called`discrete calculus' here, is used to describe this theory. It is shown that discrete forms of Gauss' theorem, Stokes' theorem, Green's theorem, and Huygens' principle can be derived. Moreover, many electromagnetic theorems can also be ...
متن کاملGauge Theory on a Lattice
One approach to field theory, in particular to aspects that are not well treated in perturbation theory, is to approximate the field defined on a spacetime continuum with a lattice field theory, defined on a lattice of space-time points. There has been a great deal of cross-fertilization from considering renormalization from the continuum high-energy physics point of view and from the condensed...
متن کاملGauge Theory on a Lattice
One approach to field theory, in particular to aspects that are not well treated in perturbation theory, is to approximate the field defined on a spacetime continuum with a lattice field theory, defined on a lattice of space-time points. There has been a great deal of cross-fertilization from considering renormalization from the continuum high-energy physics point of view and from the condensed...
متن کاملA convex combinatorial property of compact sets in the plane and its roots in lattice theory
K. Adaricheva and M. Bolat have recently proved that if $,mathcal U_0$ and $,mathcal U_1$ are circles in a triangle with vertices $A_0,A_1,A_2$, then there exist $jin {0,1,2}$ and $kin{0,1}$ such that $,mathcal U_{1-k}$ is included in the convex hull of $,mathcal U_kcup({A_0,A_1, A_2}setminus{A_j})$. One could say disks instead of circles.Here we prove the existence of such a $j$ and $k$ ...
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ژورنال
عنوان ژورنال: Hiroshima Mathematical Journal
سال: 1949
ISSN: 0018-2079
DOI: 10.32917/hmj/1557540023