The Appearance of Matter Fields from Quantum Fluctuations of 2D Gravity
The Appearance of Matter Fields from Quantum Fluctuations of 2D Gravity
复制标题
二维引力量子涨落中物质场的出现
DOI：
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发表时间：
1989
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通讯作者：
V. Kazakov
中科院分区：
文献类型：
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作者：
V. Kazakov
建立了二维纯量子引力模型可能出现的各种临界区。这些区域对应于具有标度维度Δk=−γstr.k/2，k=1，2，3...的有效场的存在，其中γstr=−1/m，m=2，3，4...是“弦磁化率”的临界指数(相对于宇宙常数)。在2D量子引力作用下，中心电荷为c=1−6/m(m+1)的么正共形场的这种行为是典型的。我们使用循环方程作为不变边界泛函的框架，在这种情况下它是精确可解的。
It is established that various critical regimes may occur for a model of two-dimensional pure quantum gravity. These regimes correspond to the presence of effective fields with scaling dimensions Δk=−γstr·k/2, k=1, 2, 3 ..., where γstr=−1/m, m=2, 3, 4 ... is the critical exponent of “string susceptibility” (with respect to the cosmological constant). This behaviour is typical for unitary conformal fields with the central charge c=1−6/m(m+1) in the presence of 2D-quantum gravity. We use the framework of loop equations for the invariant boundary functional, which are exactly solvable in this case.