Expectation values of descendent fields in the Bullough-Dodd model and related perturbed conformal field theories
Apr, 2001Citations per year
Abstract: (Elsevier)
The exact vacuum expectation values of the second level descendent fields 〈(∂ϕ) 2 ( ∂ ̄ ϕ) 2 e aϕ 〉 in the Bullough–Dodd model are calculated. By performing quantum group restrictions, we obtain 〈L −2 L ̄ −2 Φ lk 〉 in the Φ 12 , Φ 21 and Φ 15 perturbed minimal CFTs. In particular, the exact expectation value 〈T T ̄ 〉 is found to be proportional to the square of the bulk free energy.Note:
- 17 pages, LaTeX file with amssymb, v2:references added. To appear in Nucl. Phys. B
- 11.10.-z
- 11.25.Hf
- field theory: conformal
- perturbation theory
- model: minimal
- quantum group
- Bullough-Dodd model
- two-point function
- expansion: short-range
- approximation: semiclassical
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