NUMBER OF DEGREES OF FREEDOM, DENSITY OF STATES AND TACHYONS IN STRING THEORY AND CFT

被引:176
作者
KUTASOV, D [1 ]
SEIBERG, N [1 ]
机构
[1] RUTGERS STATE UNIV,DEPT PHYS & ASTRON,PISCATAWAY,NJ 08855
基金
美国国家科学基金会;
关键词
D O I
10.1016/0550-3213(91)90426-X
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We analyze the asymptotic density of states in two-dimensional conformal field theories as a measure of their number of degrees of freedom. In theories where some of the states contribute - 1 to the torus amplitude - "space-time fermions" - it is natural to study the asymptotic behavior of the number of bosons minus fermions. This quantity is relevant when the (CFT is coupled to two-dimensional gravity. The combined gravity and matter theory is stable only when the asymptotic density of states of the world-sheet theory (space-time bosons minus fermions) is that of a quantum mechanical system of one free degree of freedom i.e. one with no net field theoretic degrees of freedom. From a space-time point of view, the asymptotic density of states of the bosons and the fermions can be exponentially large but the difference between them is that of a two-dimensional field theory.
引用
收藏
页码:600 / 618
页数:19
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