Calculation of the critical index \(\eta\) for the \(\phi^3\) theory by the conformal bootstrap method. (English. Russian original) Zbl 1336.81049
Theor. Math. Phys. 185, No. 1, 1516-1521 (2015); translation from Teor. Mat. Fiz. 185, No. 1, 179-185 (2015).
Summary: We propose a method for calculating the \(\varepsilon\)-expansion in the model of a scalar field with the \(\phi^3\) interaction based on the conformal bootstrap equations. We calculate the index \(\eta\) in the three-loop approximation. Our result coincides with the result previously obtained by the method of renormalization group equations based on calculating a large number of Feynman diagrams.
MSC:
| 81T10 | Model quantum field theories |
| 81T15 | Perturbative methods of renormalization applied to problems in quantum field theory |
| 81T18 | Feynman diagrams |
| 81T17 | Renormalization group methods applied to problems in quantum field theory |
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