INVESTIGADORES
CASINI Horacio German
artículos
Título:
Entropy inequalities from reflection positivity
Autor/es:
H. CASINI
Revista:
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Editorial:
IOP PUBLISHING LTD
Referencias:
Año: 2010 vol. 2010 p. 1 - 14
ISSN:
1742-5468
Resumen:
We investigate the question of whether the entropy and the Renyi
entropies of the vacuum state reduced to a region of space can be
represented in terms of correlators in quantum field theory. In this
case, the positivity relations for the correlators are mapped into
inequalities for the entropies. We write them using a real-time version
of reflection positivity, which can be generalized to general quantum
systems. Using this generalization we can prove an infinite sequence of
inequalities which are obeyed by the Renyi entropies of integer index.
There is one independent inequality involving any number of different
subsystems. In quantum field theory the inequalities acquire a simple
geometrical form and are consistent with the integer index Renyi
entropies being given by vacuum expectation values of twisting operators
in the Euclidean formulation. Several possible generalizations and
specific examples are analyzed.