Modular energy inequalities from relative entropy

被引:0
作者
David Blanco
Horacio Casini
Mauricio Leston
Felipe Rosso
机构
[1] Universidad Nacional de Buenos Aires,Instituto de Astronomía y Física del Espacio
[2] Centro Atómico Bariloche,Department of Physics and Astronomy
[3] University of Southern California,undefined
来源
Journal of High Energy Physics | / 2018卷
关键词
Conformal Field Theory; Field Theories in Lower Dimensions; Field Theories in Higher Dimensions;
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摘要
We obtain new constraints for the modular energy of general states by using the monotonicity property of relative entropy. In some cases, modular energy can be related to the energy density of states and these constraints lead to interesting relations between energy and entropy. In particular, we derive new quantum energy inequalities that improve some previous bounds for the energy density of states in a conformal field theory. Additionally, the inequalities derived in this manner also lead us to conclude that the entropy of the state further restricts the possible amount of negative energy allowed by the theory.
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