Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-08-17
Physics
High Energy Physics
High Energy Physics - Theory
31 pages, LaTeX, 6 figures
Scientific paper
The degrees of freedom of any interacting quantum field theory are entangled in momentum space. Thus, in the vacuum state, the infrared degrees of freedom are described by a density matrix with an entanglement entropy. We derive a relation between this density matrix and the conventional Wilsonian effective action. We argue that the entanglement entropy of and mutual information between subsets of field theoretic degrees of freedom at different momentum scales are natural observables in quantum field theory and demonstrate how to compute these in perturbation theory. The results may be understood heuristically based on the scale-dependence of the coupling strength and number of degrees of freedom. We measure the rate at which entanglement between degrees of freedom declines as their scales separate and suggest that this decay is related to the property of decoupling in quantum field theory.
Balasubramanian Vijay
McDermott Michael B.
Raamsdonk Mark Van
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