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Logarithmic curvature correction to Lifshitz and hyperscaling violation geometries
High Energy Physics - Theory · Submitted 4 Oct 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find the unexpected form of gauge kinetic function and potential in the presence of logarithmic terms.
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The abstract, sentence by sentence
In this note we consider the logarithmic curvature correction to Lifshitz and hyper scaling violation geometries. We investigate the effect of this correction to the gauge kinetic function f and the effective potential V . For the case of hyper scaling violating we show that the coupling between dilaton and the correction terms exhibit the logarithmic behavior for dilaton like for the case of squared curvature correction. We find the unexpected form of gauge kinetic function and potential in the presence of logarithmic terms. We try to resolve the IR singularity of Lifshitz and hyperscaling violation geometries by adding the logarithmic term.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this note we consider the logarithmic curvature correction to Lifshitz and hyper scaling violation geometries. | contribution 0.76 | 0.74 | 0.04 | asserted 0.64 |
| s1 | We investigate the effect of this correction to the gauge kinetic function f and the effective potential V . | contribution 0.99 | 0.90 | 0.05 | asserted 0.69 |
| s2 | For the case of hyper scaling violating we show that the coupling between dilaton and the correction terms exhibit the logarithmic behavior for dilaton like for the case of squared curvature correction. | result 1.00 | 0.85 | 0.19 | asserted 1.00 |
| s3 | We find the unexpected form of gauge kinetic function and potential in the presence of logarithmic terms. | result 1.00 | 0.95 | 0.38 | asserted 1.00 |
| s4 | We try to resolve the IR singularity of Lifshitz and hyperscaling violation geometries by adding the logarithmic term. | contribution 0.66 | 0.78 | 0.20 | speculative 0.45 |
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The paper
Original abstract
In this note we consider the logarithmic curvature correction to Lifshitz and hyper scaling violation geometries. We investigate the effect of this correction to the gauge kinetic function f and the effective potential V . For the case of hyper scaling violating we show that the coupling between dilaton and the correction terms exhibit the logarithmic behavior for dilaton like for the case of squared curvature correction. We find the unexpected form of gauge kinetic function and potential in the presence of logarithmic terms. We try to resolve the IR singularity of Lifshitz and hyperscaling violation geometries by adding the logarithmic term.
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