Spin-statistics transmutation in quantum field theory. (English) Zbl 1197.81160
Summary: Spin-statistics transmutation is the phenomenon occurring when a “dressing” transformation introduced for physical reasons (e.g., gauge invariance) modifies the “bare” spin and statistics of particles or fields. Historically, it first appeared in quantum mechanics and in semiclassical approximation to quantum field theory. After a brief historical introduction, we sketch how to describe such a phenomenon in quantum field theory beyond the semiclassical approximation using a path-integral formulation for Euclidean correlation functions exemplifying with anyons, dyons and skyrmions.
MSC:
| 81T05 | Axiomatic quantum field theory; operator algebras |
| 81S40 | Path integrals in quantum mechanics |
| 81R20 | Covariant wave equations in quantum theory, relativistic quantum mechanics |
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