2014/12/31 by Dharm Veer Singh, Shobhit Sachan
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Joint quantum entropy #Logarithm #Massless particle #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum discord #Quantum entanglement #Quantum gravity #Quantum mechanics #Quantum relative entropy #Scalar field #Scalar field theory #Spacetime #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1142/s0218271817500389
published as Int.Journal of Mod. Phys. D Vol. 26, (2017) 1750038 · 15 pages, 3 figures, Title changed, reference added
openalex publication_date 2016/10/14 · arxiv created 2016/10/18 · arxiv updated 2016/10/19 · openalex created_date 2016/10/21 · openalex updated_date 2026/08/05
The entanglement entropy correlates two quantum subsystems which are part of a larger system. A logarithmic divergence term present in the entanglement entropy is universal in nature and directly proportional to the conformal anomaly. We study this logarithmic divergence term of entropy for massive scalar field in [Formula: see text] dimensions by applying numerical techniques to entanglement entropy approach. This (2+1)-dimensional massive theory can be obtained from the (3+1)-dimensional massless scalar field via dimensional reduction. We also calculated mass corrections to entanglement entropy for scalar field. Finally, we observe that the area law contribution to the entanglement entropy is not affected by this mass term and the universal quantities depend upon the basic properties of the system.