Work

Modular energy inequalities from relative entropy

Year: 2018

Type: article

Abstract: 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.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep01(2018)154

Authors: David Blanco, Horacio Casini, Mauricio Leston, Felipe Rosso

Institutions: Institute of Astronomy and Space Physics, Bariloche Atomic Centre, University of Southern California

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Simons Foundation, Comisión Nacional de Energía Atómica, Gobierno de Argentina, Consejo Nacional de Investigaciones Científicas y Técnicas, Universidad Nacional de Cuyo

OpenAlex ID: W2770939712