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Distribution of Magnetic Monopoles within cubes in Compact QED
High Energy Physics - Lattice · Submitted 17 Jun 2009
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find the monopoles mainly located either in the center of three-dimensional cubes or on the interface between two cubes.
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The abstract, sentence by sentence
Earlier investigations showed local minima in the monopole-antimonopole potential in U(1) gauge theory on the lattice. In this paper we localize monopoles of Monte-Carlo configurations. A statistical analysis of localization measurements gives us the probability density which we compare with the potential found in [1]. We find the monopoles mainly located either in the center of three-dimensional cubes or on the interface between two cubes. This agrees with the position of minima and maxima of the monopole-antimonopole potential.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Earlier investigations showed local minima in the monopole-antimonopole potential in U(1) gauge theory on the lattice. | background 1.00 | 0.04 | 0.02 | asserted 1.00 |
| s1 | In this paper we localize monopoles of Monte-Carlo configurations. | contribution 0.80 | 0.93 | 0.04 | asserted 0.97 |
| s2 | A statistical analysis of localization measurements gives us the probability density which we compare with the potential found in [1]. | method 0.89 | 0.92 | 0.05 | asserted 1.00 |
| s3 | We find the monopoles mainly located either in the center of three-dimensional cubes or on the interface between two cubes. | result 1.00 | 0.97 | 0.80 | asserted 1.00 |
| s4 | This agrees with the position of minima and maxima of the monopole-antimonopole potential. | interpretation 0.98 | 0.64 | 0.27 | asserted 0.94 |
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The paper
Original abstract
Earlier investigations showed local minima in the monopole-antimonopole potential in U(1) gauge theory on the lattice. In this paper we localize monopoles of Monte-Carlo configurations. A statistical analysis of localization measurements gives us the probability density which we compare with the potential found in [1]. We find the monopoles mainly located either in the center of three-dimensional cubes or on the interface between two cubes. This agrees with the position of minima and maxima of the monopole-antimonopole potential.
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