Collective field theory for quantum Hall states

Article

关键词: STATISTICAL THEORY;    ENERGY LEVELS;    GEOMETRY;    FLUCTUATIONS;    SPIN;   

DOI  :  10.1103/PhysRevB.92.235141

来源: SCIE

【 摘 要 】

We develop a collective field theory for fractional quantum Hall (FQH) states. We show that in the leading approximation for a large number of particles, the properties of Laughlin states are captured by a Gaussian free field theory with a background charge. Gradient corrections to the Gaussian field theory arise from the covariant ultraviolet regularization of the theory, which produces the gravitational anomaly. These corrections are described by a theory closely related to the Liouville theory of quantum gravity. The field theory simplifies the computation of correlation functions in FQH states and makes manifest the effect of quantum anomalies.

【 授权许可】

Free