Gravitational Phase Transitions and the Sine-Gordon Model
Gravitational Phase Transitions and the Sine-Gordon Model
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引力相变和正弦戈登模型
DOI：
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发表时间：
1992
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影响因子：
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通讯作者：
G. Moore
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文献类型：
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作者：
G. Moore
我们考虑耦合到二维引力的Sine-Gordon模型。我们找到了一个非微扰的表达作为宇宙学常数，SG质量和SG耦合常数的函数的配分函数。在亏格为零时，配分函数表现出奇异性，这被解释为相变的信号。提出了这些转变之一的半经典图片。根据这幅图，一个相位，其中正弦-戈登场和几何是冻结融化成另一个相位，其中场和几何成为动态的。
We consider the Sine-Gordon model coupled to 2D gravity. We find a nonperturbative expression for the partition function as a function of the cosmological constant, the SG mass and the SG coupling constant. At genus zero, the partition function exhibits singularities which are interpreted as signals of phase transitions. A semiclassical picture of one of these transitions is proposed. According to this picture, a phase in which the Sine-Gordon field and the geometry are frozen melts into another phase in which the fields and geometry become dynamical.