Anti-deSitter时空内柱黑洞的量子熵

Quantum entropy of cylindrical black hole in Anti-de Sitter space-time

利用brick-wall方法计算了Anti-de Sitter时空内起源于Dirac场的柱黑洞的量子熵.结果表明,忽略远离围绕系统的真空的贡献时,量子熵包含了线性发散项和对数发散项,整个表达式的形式与标量场的不一样.无论整个对数项还是与自旋联系的子对数项都总是正的.

By using the brick-wall model, the quantum entropy of a cylindrical black hole in Anti-de Sitter space-time arising from the massless Dirac field is discussed. It is shown that the quantum entropy has both linear and logarithmical divergences if the usual contribution from the vacuum surrounding the system is ignored, and the whole expression does not take the form of the scalar one. Both the whole logarithmic term and the subleading logarithmic term which relates to the spins of the Dirac particles are always positive.