Abstract
We study the entanglement entropy for open bosonic strings on multiple Dp-branes by using the covariant open string field theory. Choosing one of the spatial coordinates which are tangential to the hyperplane on which Dp-branes are located, we divide the hyperplane into two halves. By using the string wavefunction in the Fock space representation, we evaluate the entanglement entropy. The entanglement entropy is found to be proportional to the area of (p−1)-dimensional boundary of the bipartite hyperplanes and divergent in the ultraviolet (UV) region as well as in the infrared (IR) region. However, the leading divergences are mainly due to tachyon contributions to the entanglement entropy, which may be absent in supersymmetric string theories. Apart from the divergences thanks to tachyons, the entanglement entropy for open bosonic strings on Dp-branes is finite for 2≤p≤dcritical−2 and logarithmically divergent for p=1,dcritical−1.
Highlights
The entanglement entropy [1], which is termed as geometric entropy [2,3,4,5,6,7,8], has been a focal point for recent developments which cover a wide range of theoretical physics, including condensed matter physcis [9,10,11], quantum field theory [12,13,14,15,16,17,18], quantum information theory [19, 20], quantum gravity and black hole physics [21,22,23,24,25,26,27,28,29,30] and the AdS/conformal field theory (CFT) correspondence in string theory [31,32,33,34,35]
The open string field in the Fock space representation is comprised of tachyons, massless fields, and infinite tower of massive fields
It is noteworthy that in the Fock space representation the free field actions Eq (5a) for component fields of open string are the same as those of scalar fields with masses given by eigenvalues of number operators NB + Ngh − 1: S0 =
Summary
The entanglement entropy [1], which is termed as geometric entropy [2,3,4,5,6,7,8], has been a focal point for recent developments which cover a wide range of theoretical physics, including condensed matter physcis [9,10,11], quantum field theory [12,13,14,15,16,17,18], quantum information theory [19, 20], quantum gravity and black hole physics [21,22,23,24,25,26,27,28,29,30] and the AdS/CFT correspondence in string theory [31,32,33,34,35]. The entanglement entropies, which evaluated by employing local quantum field theories, diverge intrinsically due to divergent behavior of the two-point correlation functions in the UV region as usual, in contrast to the Bekenstein-Hawking entropy which is finite. It has been suggested [5, 22] that the entanglement entropy is the first quantum correction while the Bekenstein-Hawking entropy is the black hole entropy at classical level. The infinite tower of massive excitations of a string may drastically change the UV as well as IR behaviors of the theory
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
