Results 31 to 40 of about 8,030 (311)
Closure Operators and Lattice Extensions [PDF]
Let \(\Gamma \) be a closure operator on a set \(X\). Then Cl\((X,\Gamma )\) denotes the lattice of \(\Gamma \)-closed subsets of \(X\). If \(\Gamma \) and \(\Delta \) are closure operators on the same set \(X\), then \(\Delta \) is a weak (resp. strong) extension of \(\Gamma \) if Cl\((X,\Gamma )\) is a complete meet-subsemilattice (resp.
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Dirac pairings, one-form symmetries and Seiberg-Witten geometries
The Coulomb phase of a quantum field theory, when present, illuminates the analysis of its line operators and one-form symmetries. For 4d N $$ \mathcal{N} $$ = 2 field theories the low energy physics of this phase is encoded in the special Kähler ...
Philip C. Argyres +2 more
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Lattice properties of integral operators [PDF]
In this paper we are concerned with linear operators K : L → M K:L \to M , where L is a Riesz subspace of measurable, finite a.e. functions and M is the class of all measurable, finite a.e. functions defined by k ( x , y ) k(x,y) is a ...
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Difference operators on lattices
A differential operator of weight [Formula: see text] is the algebraic abstraction of the difference quotient [Formula: see text], including both the derivation as [Formula: see text] approaches to [Formula: see text] and the difference operator when [Formula: see text].
Aiping Gan, Li Guo
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Bilinear quark operators in the RI/SMOM scheme at three loops
We consider the renormalization of the matrix elements of the bilinear quark operators ψ¯ψ, ψ¯γμψ, and ψ¯σμνψ at next-to-next-to-next-to-leading order in QCD perturbation theory at the symmetric subtraction point.
Bernd A. Kniehl, Oleg L. Veretin
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The present chapter is primarily concerned with vector lattices of linear operators between Banach lattices or, more precisely, with the problem of exhibiting significant classes of linear operators possessing a (linear) modulus. Up to the late 1960’s, the available knowledge in this area appeared somewhat fragmentary and incoherent; above all, however,
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Perturbative Renormalization of Wilson line operators
We present results for the renormalization of gauge invariant nonlocal fermion operators which contain a Wilson line, to one loop level in lattice perturbation theory.
Constantinou Martha +1 more
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We study the spectrum of anomalous dimensions of operators dual to giant graviton branes. The operators considered belong to the su(2|3) sector of N $$ \mathcal{N} $$ = 4 super Yang-Mills theory, have a bare dimension ∼ N and are a linear combination of ...
Robert de Mello Koch +3 more
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This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
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