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U(1) Lattice Gauge theory and its Dual
High Energy Physics - Lattice · Submitted 23 Oct 1996
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that, because of the nature of the dual model, its advantages are outweighed by large autocorrelation times generated when the dual system becomes disordered.
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The abstract, sentence by sentence
The three dimensional U(1) Lattice Gauge, in the weak coupling limit, is dual to a Discrete Gaussian model. We investigate this dual model and use it to calculate properties of the U(1) theory. We find that, because of the nature of the dual model, its advantages are outweighed by large autocorrelation times generated when the dual system becomes disordered.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The three dimensional U(1) Lattice Gauge, in the weak coupling limit, is dual to a Discrete Gaussian model. | background 0.88 | 0.17 | 0.24 | asserted 1.00 |
| s1 | We investigate this dual model and use it to calculate properties of the U(1) theory. | contribution 0.82 | 0.94 | 0.06 | asserted 0.98 |
| s2 | We find that, because of the nature of the dual model, its advantages are outweighed by large autocorrelation times generated when the dual system becomes disordered. | result 0.56 | 0.95 | 0.80 | asserted 1.00 |
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Original abstract
The three dimensional U(1) Lattice Gauge, in the weak coupling limit, is dual to a Discrete Gaussian model. We investigate this dual model and use it to calculate properties of the U(1) theory. We find that, because of the nature of the dual model, its advantages are outweighed by large autocorrelation times generated when the dual system becomes disordered.
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