Quantum Field Theory on the q-deformed Fuzzy Sphere

Details Quantum Field Theory on the q-deformed Fuzzy Sphere Quantum Field Theory on the q-deformed Fuzzy Sphere

2001-05-14

arxiv.org/abs/hep-th/0105126v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, lecture given at the XXXVII Karpacz Winter School "New Developments in Fundamental Interactions Theories" (February 6

Scientific paper

10.1063/1.1419335

We discuss the second quantization of scalar field theory on the q-deformed fuzzy sphere S^2_{q,N} for q \in \R, using a path-integral approach. We find quantum field theories which are manifestly covariant under U_q(su(2)), have a smooth limit q -> 1, and satisfy positivity and twisted bosonic symmetry properties. Using a Drinfeld twist, they are equivalent to ordinary but slightly "nonlocal" QFT's on the undeformed fuzzy sphere, which are covariant under SU(2).

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