Entanglement entropy at higher orders for the states of a = 3 θ = 1 Lifshitz theory

Autor: Rohit Mishra, Harvendra Singh
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Nuclear Physics B, Vol 938, Iss , Pp 307-320 (2019)
Druh dokumentu: article
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2018.11.012
Popis: We evaluate the entanglement entropy of strips for boosted D3-black-branes compactified along the lightcone coordinate. The bulk theory describes 3-dimensional a=3 θ=1 Lifshitz theory on the boundary. The area of small strips is evaluated perturbatively up to second order, where the leading term has a logarithmic dependence on strip width l, whereas entropy of the excitations is found to be proportional to l4. The entanglement temperature falls off as 1/l3 on expected lines. The size of the subsystem has to be bigger than typical ‘Lifshitz scale’ in the theory. At second order, the redefinition of temperature (or strip width) is required so as to meaningfully describe the entropy corrections in the form of a first law of entanglement thermodynamics.
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