论文标题
Abelian仪表对称性破坏的矢量调节理论中的毛毛孔的反术方法和热力学
Counterterm method and thermodynamics of Hairy Black Holes in a Vector-Tensor theory with Abelian gauge symmetry breaking
论文作者
论文摘要
对于一种非最小耦合的矢量调节理论，在四维时空和相应地渐近非ADS黑洞溶液中，包括宇宙常数，我们构建适当的边界项并衍生相关的连接条件。为了去除位于时空边界的应力张量中的差异，我们还将合适的表面反应涉及到总动作中。使用反术方法，我们使黑洞质量陷入困境。黑洞Carge $ Q $与其他参数之间的隐含关系是通过将黑洞质量的表达与黑洞热力学的第一定律相结合的。通过这种隐性关系，我们可以证明不平等$ q \ leq m $，这是大多数带电的黑洞的一般界限。此外，在大规范合奏中还研究了黑洞的相结构。
For a type of non-minimally coupled vector-tensor theories with Abelian gauge symmetry breaking in four-dimensional spacetime and correspondingly asymptotic non-AdS black hole solutions including a cosmological constant, we construct the appropriate boundary terms and derive the associated junction condition. In order to remove the divergences in the stress tensor which is localized on the spacetime boundary, we also involve the suitable surface counterterms into the total action. Using the counterterm method, we caculate the black hole mass. An implicit relation between the black hole carge $Q$ and other parameters is implied by combining the expression of the black hole mass with the first law of black hole thermodynamics. With this implicit relation, we can prove the inequality $Q\leq M$ which is a general bound for most of charged black holes. Besides, the phase structure of black holes is also investigated in the grand canonical ensemble.
