Theoretical Physics Colloquium
Conformal Anomaly Matching and Exact Results for Entanglement Entropy
by Dr. Shamik Banerjee (IPMU, Univ. of Tokyo)
Tuesday, September 9, 2014
from
to
(Asia/Kolkata)
at Colaba Campus ( AG69 )
at Colaba Campus ( AG69 )
Description |
Entanglement entropy is a useful quantity for various purposes. It finds applications in many areas of physics starting from black holes to quantum phase transition. At the same time it is also a notoriously difficult thing to compute in quantum field theories. Many exact results are known for conformal field theories in two and higher dimensions. The situation is not so good for general non-conformal field theories. Some exact results are known for non-critical models in two dimensions, but similar results do not exist for general higher dimensional theories. It turns out that some field theory techniques developed recently [3, 4] to study renormalization group flow in even dimensional quantum field theories can be used effectively to compute the entanglement entropy of even dimensional non-conformal field theories [1, 2]. This will lead to some exact results for higher dimensional theories which in particular limits match the known results. In this talk some of these results will be explained. References: 1. S. Banerjee, ``Trace Anomaly Matching and Exact Results For Entanglement Entropy,'' arXiv:1405.4876 [hep-th]. 2. S. Banerjee, ``Note On The Dilaton Effective Action And Entanglement Entropy'', arXiv:1406.3038 [hep-th]. 3. Z. Komargodski and A. Schwimmer, ``On Renormalization Group Flows in Four Dimensions,'' JHEP 1112, 099 (2011) [arXiv:1107.3987 [hep-th]]. 4. Z. Komargodski, ``The Constraints of Conformal Symmetry on RG Flows,'' JHEP 1207, 069 (2012)[arXiv:1112.4538 [hep-th]]. |