Type
Text
Type
Dissertation
Advisor
Herzog, Christoper P | Dawber, Matthew | Anderson, Michael | Rocek, Martin.
Date
2016-12-01
Keywords
Physics | AdS/CFT, Black Holes, Entanglement Entropy, Fluid Dynamics
Department
Department of Physics
Language
en_US
Source
This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.
Identifier
http://hdl.handle.net/11401/76662
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Format
application/pdf
Abstract
In this dissertation we consider physical consequences of adding a finite temperature to quantum field theories. At small length scales entanglement is a critically important feature. It is therefore unsurprising that entanglement entropy and Renyi entropy are useful tools in studying quantum phase transition, and quantum information. In this thesis we consider the corrections to entanglement and Renyi entropies due to addition of a finite temperature. n this dissertation we consider physical consequences of adding a finite temperature to quantum field theories. At small length scales entanglement is a critically important feature. It is therefore unsurprising that entanglement entropy and Renyi entropy are useful tools in studying quantum phase transition, and quantum information. In this thesis we consider the corrections to entanglement and Renyi entropies due to addition of a finite temperature. More specifically, we investigate the entanglement entropy of a massive scalar field in 1+1 dimensions at nonzero temperature. In the small mass (m) and temperature (T) limit, we put upper and lower bounds on the two largest eigenvalues of the covariance matrix used to compute the entanglement entropy. We argue that the entanglement entropy has exp(-m/T) scaling in the limit T<
Recommended Citation
Spillane, Michael, "Studies of Entanglement Entropy, and Relativistic Fluids for Thermal Field Theories" (2016). Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions). 2548.
https://commons.library.stonybrook.edu/stony-brook-theses-and-dissertations-collection/2548