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A quantum correction to chaos
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نویسنده
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Fitzpatrick A. Liam ,Kaplan Jared
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منبع
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journal of high energy physics - 2016 - دوره : 2016 - شماره : 5 - صفحه:1 -22
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چکیده
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We use results on virasoro conformal blocks to study chaotic dynamics in cft2 at large central charge c. the lyapunov exponent λ l , which is a diagnostic for the early onset of chaos, receives 1/c corrections that be interpreted as $$ {lambda}_l=frac{2pi }{beta}left(1+frac{12}{c}right) $$ . however, out of time order correlators receive other equally important 1/c suppressed contributions that do not have such a simple interpretation. we revisit the proof of a bound on λ l that emerges at large c, focusing on cft2 and explaining why our results do not conflict with the analysis leading to the bound. we also comment on relationships between chaos, scattering, causality, and bulk locality.
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کلیدواژه
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1/N Expansion ,AdS-CFT Correspondence ,Conformal and W Symmetry ,Quantum Dissipative Systems
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آدرس
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Boston University, Department of Physics, USA, Johns Hopkins University, Department of Physics and Astronomy, USA
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Authors
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