Results 21 to 30 of about 3,653 (237)
Real representation in chiral gauge theories on the lattice [PDF]
The Weyl fermion belonging to the real representation of the gauge group provides a simple illustrative example for Lüscher's gauge-invariant lattice formulation of chiral gauge theories. We can explicitly construct the fermion integration measure globally over the gauge-field configuration space in the arbitrary topological sector; there is no global ...
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The Lagrangian loop representation of lattice U(1) gauge theory [PDF]
13 pp, UAB-FT-341 ...
Aroca, J. M., Baig, M., Fort, H.
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A Path-Based Partial Information Decomposition
Based on the conceptual basis of information theory, we propose a novel mutual information measure—‘path-based mutual information’. This information measure results from the representation of a set of random variables as a probabilistic graphical model ...
David Sigtermans
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Supermodular Programming on Lattices [PDF]
Questions, concerning the optimization of supermodular functions on finite lattices are considered in the paper. The systematic summary of main authors' and other researchers' results known before, new authors' results are given.
Vladimir R. Khachaturov +2 more
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We perform a lattice QCD calculation of the hadronic light-by-light contribution to $$(g-2)_\mu $$ ( g - 2 ) μ at the SU(3) flavor-symmetric point $$m_\pi =m_K\simeq 420\,$$ m π = m K ≃ 420 MeV.
En-Hung Chao +4 more
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Bipartite Digraphs with Modular Concept Lattices of height 2
This paper investigates the interaction between Formal Concept Analysis (FCA) and graph theory, with a focus on understanding the structure and representation of concept lattices derived from bipartite directed graphs.
A.O. Basheyeva +2 more
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Lattice knot theory and quantum gravity in the loop representation [PDF]
We present an implementation of the loop representation of quantum gravity on a square lattice. Instead of starting from a classical lattice theory, quantizing and introducing loops, we proceed backwards, setting up constraints in the lattice loop representation and showing that they have appropriate (singular) continuum limits and algebras.
Fort, Hugo +2 more
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Lattice representations for computability theory
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A lattice gauge theory for fields in the adjoint representation
We present a mathematical formulation for a gauge theory for fields in the adjoint representation ofSUn, where the fields are general differential forms living on the lattice objects, like sites, links, plaquettes, etc. By a general definition of covariant derivatives we write down the Lagrangian and Hamiltonian densities for the gauge field.
Aratyn, H., Goto, M., Zimerman, A. H.
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On the Representation of the Lattices of the Algebraic Sets of the Universal Algebras
The concept of an algebraic set is a basic concept of the classical algebraic geometry over fields. This concept, along with the concept of an algebraic lattice of algebraic sets is the basic concept of so-called algebraic geometry of universal algebras.
A.G. Pinus
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