期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 2, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP02(2018)082
关键词
Gauge-gravity correspondence; Holography and condensed matter physics (AdS/CMT)
资金
- National Research Foundation of Korea(NRF) - Ministry of Science, ICT & Future Planning [NRF-2017R1A2B4004810]
- GIST Research Institute(GRI) - GIST
- National Postdoctoral Program for Innovative Talents [BX201600005]
- Ministry of Science & ICT (MSIT), Republic of Korea [GIST-03, GIST-09-09] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
- National Research Foundation of Korea [10Z20130012677, 2017R1A2B4004810, QP034902] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
We compute the time-dependent complexity of the thermofield double states by four different proposals: two holographic proposals based on the complexity-action (CA) conjecture and complexity-volume (CV) conjecture, and two quantum field theoretic proposals based on the Fubini-Study metric (FS) and Finsler geometry (FG). We find that four different proposals yield both similarities and differences, which will be useful to deepen our understanding on the complexity and sharpen its definition. In particular, at early time the complexity linearly increase in the CV and FG proposals, linearly decreases in the FS proposal, and does not change in the CA proposal. In the late time limit, the CA, CV and FG proposals all show that the growth rate is 2E/(pi h) saturating the Lloyd's bound, while the FS proposal shows the growth rate is zero. It seems that the holographic CV conjecture and the field theoretic FG method are more correlated.
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