Abstract
We study "field space entanglement" in certain quantum field theories consisting of N number of free scalar fields interacting with each other via kinetic mixing terms. We present exact analytic expressions for entanglement end Renyi entropies between arbitrary number of scalar fields by which we could explore certain entanglement inequalities. Other entanglement measures such as mutual information and entanglement negativity have also been studied. We also give some comments about possible holographic realizations of such models.
Highlights
Tracing out either part A or B leads to a measure for the quantum entanglement between localized degrees of freedom in spatial regions A and B
Since we are interested in Gaussian models, in both of our models we consider kinetic mixing terms as the interaction between the free scalar fields, we are always dealing with marginal couplings
In this paper we have considered a less studied type of entanglement which is known as field space entanglement
Summary
In this paper we are interested in Gaussian models as the simplest examples of interacting field theories which are analytically tractable. Since we are interested in analytically tractable simple models, in what follows we have chosen the same value of coupling constant between our mutually interacting field theories which means all off-diagonal non-vanishing elements of Gij take the same value. Since we are interested in Gaussian models, in both of our models we consider kinetic mixing terms as the interaction between the free scalar fields, we are always dealing with marginal couplings. Note that both of these models in the special case where the total number of fields is two (N = 2) reduce to the massless interaction model in [13]
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