Note on correlation functions in conformal quantum mechanics. (English) Zbl 1375.81214
Summary: We suggest a method to compute the correlation functions in conformal quantum mechanics (CFT\(_1\)) for the fields that transform under a nonlocal representation of \(\mathfrak{sl}(2)\) basing on the invariance properties. Explicit calculations of two- and three-point correlation functions are presented.
MSC:
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 81T15 | Perturbative methods of renormalization applied to problems in quantum field theory |
| 81R15 | Operator algebra methods applied to problems in quantum theory |
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