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This study demonstrates that self-interactions within scalar fields on fuzzy spaces generate extensive entanglement contributions throughout the bulk of space, challenging the traditional area law that restricts such correlations to boundaries. By resolving divergences in interacting quantum fields, the research reveals a fundamental link between ultraviolet and infrared scales, offering new insights into the structural behavior of quantum field theory.

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Hamma Lakhdar Team Finds Interactions Broaden Entanglement’s Reach

Quantum ZeitgeistSeptember 10, 20264 min read

Entanglement within scalar fields typically concentrates at boundaries, obeying an area law, but self-interactions on fuzzy spaces disrupt this pattern. Calculations reveal an extensive contribution throughout the entire space itself, diverging from established understandings of entanglement behaviour. This advance goes beyond previous models by incorporating interactions and computing first-order corrections using an improved Green’s function method.

Calculating entanglement entropy for interacting quantum fields has long been hampered by divergences arising from infinitely many degrees of freedom at very small distances. A. Allouche and D. Dou from Hamma Lakhdar University in Algeria have computed how self-interactions within scalar fields on fuzzy spaces affect this measure of quantum connectedness. The research discovered that interactions within models of space alter how entanglement, a link between particles, operates on fuzzy spaces.…

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