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

Shoichi Kawamoto^1,2,3*

¹Physics, National Tsing Hua University, Hsinchu, Taiwan
²National Center for Theoretical Sciences, National Tsing Hua University, Hsinchu, Taiwan
³Center of High Energy Physics, Chung Yuan Christian University, Jhongli, Taiwan

* Presenter:Shoichi Kawamoto, email:shoichi.kawamoto.0354@gmail.com

In this presentation, I will study 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. On a fuzzy sphere, an example of noncommutative space, it is known that the UV and IR degrees of freedom show a characteristic correlation known as UV/IR mixing. 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.

Keywords: Matrix Models, Noncommutative Geometry, Quantum Entanglement