募捐 9月15日2024 – 10月1日2024 关于筹款

Beyond flat-space quantum field theory

Beyond flat-space quantum field theory

Seahra S.
你有多喜欢这本书?
下载文件的质量如何?
下载该书,以评价其质量
下载文件的质量如何?
We examine the quantum field theory of scalar field in non-Minkowski spacetimes. We first develop a model of a uniformly accelerating particle detector and demonstrate that it will detect a thermal spectrum of particles when the field is in an "empty" state (according to inertial observers). We then develop a formalism for relating field theories in different coordinate systems (Bogolubov transformations),and apply it to compare comoving observers in Minkowski and Rindler spacetimes. Rindler observers are found to see a hot bath of particles in the Minkowski vacuum, which confirms the particle detector result. The temperature is found to be proportional to the proper acceleration of comoving Rindler observers. This is generalized to 2D black hole spacetimes, where the Minkowski frame is related to Kruskal coordinates and the Rindler frame is related to conventional (t; r) coordinates. We determine that when the field is in the Kruskal (Hartle-Hawking) vacuum, conventional observers will conclude that the black hole acts as a blackbody of temperature ·=2pi*kB (kB is Boltzmann's constant). We examine this result in the context of static particle detectors and thermal Green's functions derived from the 4D Euclidean continuation of the Schwarzschild manifold. Finally, we givea semi-qualitative 2D account of the emission of scalar particles from a ball of matter collapsing into a black hole (the Hawking effect).
年:
2000
出版:
web draft
语言:
english
页:
37
文件:
PDF, 473 KB
IPFS:
CID , CID Blake2b
english, 2000
线上阅读
正在转换
转换为 失败

关键词