期刊
PHYSICAL REVIEW B
卷 90, 期 24, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.90.245109
关键词
-
资金
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [1360789] Funding Source: National Science Foundation
We compute the nonzero temperature conductivity of conserved flavor currents in conformal field theories (CFTs) in 2+ 1 space-time dimensions. At frequencies much greater than the temperature, h(w) >> k(B)T, the omega dependence can be computed from the operator product expansion (OPE) between the currents and operators, which acquire a nonzero expectation value at T > 0. Such results are found to be in excellent agreement with quantum Monte Carlo studies of the O(2) Wilson-Fisher CFT. Results for the conductivity and other observables are also obtained in vector 1/N expansions. We match these large. results to the corresponding correlators of holographic representations of theCFT: the holographic approach then allows us to extrapolate to small ./(kBT). Other holographic studies implicitly only used the OPE between the currents and the energy-momentum tensor, and this yields the correct leading large. behavior for a large class of CFTs. However, for the Wilson-Fisher CFT, a relevant thermal operator must also be considered, and then consistency with the Monte Carlo results is obtained without a previously needed ad hoc rescaling of the T value. We also establish sum rules obeyed by the conductivity of a wide class of CFTs.
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