Momentum-space entanglement in scalar field theory on the fuzzy sphere

Title:Momentum-space entanglement in scalar field theory on the fuzzy sphere
Time:2021/12/06 (Mon.) 12:30
Place:R517, New Physics Building, NTU

Abstract:
In this talk, I consider the quantum entanglement in the momentum space for scalar field theory on a fuzzy sphere. In an interacting quantum field theory, the degrees of freedom in momentum space show entanglement; it quantifies the correlation between the high/low momentum modes. In general noncommutative spaces, it is known that the UV and IR degrees of freedom show a characteristic correlation known as UV/IR mixing, and on the fuzzy sphere, it appears in a milder form. I thus study the entanglement entropy in the momentum space for quantum field theory defined on the fuzzy sphere and examine the difference from the theory on the ordinary sphere.