Abstract
We study the effects of Gauss–Bonnet corrections on some nonlocal probes (entanglement entropy, n-partite information and Wilson loop) in the holographic model with momentum relaxation. Higher-curvature terms as well as scalar fields make in fact nontrivial corrections to the coefficient of the universal term in entanglement entropy. We use holographic methods to study such corrections. Moreover, holographic calculation indicates that mutual and tripartite information undergo a transition beyond which they identically change their values. We find that the behavior of the transition curves depends on the sign of the Gauss–Bonnet coupling lambda . The transition for lambda >0 takes place in larger separation of subsystems than that of lambda <0. Finally, we examine the behavior of modified part of the force between external point-like objects as a function of Gauss–Bonnet coupling and its sign.
Highlights
In the holographic models, considering highercurvature terms in the gravity action is well motivated for several reasons; in particular, addressing different types of central charges could be an example
We studied the effect of higher-order derivative terms on some nonlocal probes in the theories with momentum relaxation parameter
There are two kinds of deformation in the states of dual field theory in this model: the higher-curvature terms, which could address the lowenergy quantum excitation corrections, and the deformation due to scalar fields, which are responsible for the momentum conservation breaking
Summary
Entanglement entropy is an important nonlocal measure of different degrees of freedom in a quantum mechanical system [33]. This quantity similar to other nonlocal quantities, e.g., Wilson loop and correlation functions, can be used to classify the various quantum phase transitions and critical points of a given system [34]. For local d-dimensional quantum field theories, the entanglement entropy follows the area law and it is infinite; the structure of the infinite terms are generally as follows [19,35,36]: S(V ). As mentioned in the introduction, for actions with higher-derivative terms, one should use other proposals to compute HEE.
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