Vacuum state in de Sitter spacetime with static charts

被引：12
作者：
Higuchi, Atsushi [1 ]
Yamamoto, Kazuhiro [2 ]
机构：
[1] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England
[2] Hiroshima Univ, Grad Sch Sci, Dept Phys, Higashihiroshima 7398526, Japan
来源：
PHYSICAL REVIEW D | 2018年 / 98卷 / 06期
关键词：
QUANTUM-FIELD-THEORY; SCALAR FIELD; PARTICLE CREATION; BUBBLE NUCLEATION; TIME; QUANTIZATION; UNIVERSE;
D O I：
10.1103/PhysRevD.98.065014
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We study the free massive scalar field in de Sitter spacetime with static charts. In particular, we find positive-frequency modes for the Bunch-Davies vacuum state natural to the static charts as superpositions of the well-known positive-frequency modes in the conformally-flat chart. We discuss in detail how these modes are defined globally in the two static charts and the region in their future. The global structure of these solutions leads to the well-known description of the Bunch-Davies vacuum state as an entangled state. Our results are expected to be useful not only for studying the thermal properties in the vacuum fluctuations in de Sitter spacetime but also for understanding the nonlocal properties of the vacuum state.
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页数：12
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共 42 条
  • [1] VACUUM STATES IN DE-SITTER SPACE
    ALLEN, B
    [J]. PHYSICAL REVIEW D, 1985, 32 (12): : 3136 - 3149
  • [2] [Anonymous], 2012, Quantum Fields in Curved Space
  • [3] Gibbons-Hawking radiation of gravitons in the Poincare and static patches of de Sitter spacetime
    Bernar, Rafael P.
    Crispino, Luis C. B.
    Higuchi, Atsushi
    [J]. PHYSICAL REVIEW D, 2018, 97 (08)
  • [4] DUALITY CONDITION FOR QUANTUM FIELDS
    BISOGNANO, JJ
    WICHMANN, EH
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (03) : 303 - 321
  • [5] Macroscopic aspects of the Unruh effect
    Buchholz, Detlev
    Verch, Rainer
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2015, 32 (24)
  • [6] QUANTUM FIELD-THEORY IN DE SITTER SPACE - RENORMALIZATION BY POINT-SPLITTING
    BUNCH, TS
    DAVIES, PCW
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1978, 360 (1700): : 117 - 134
  • [7] CHERNIKOV NA, 1968, ANN I H POINCARE A, V9, P109
  • [8] The Unruh effect and its applications
    Crispino, Luis C. B.
    Higuchi, Atsushi
    Matsas, George E. A.
    [J]. REVIEWS OF MODERN PHYSICS, 2008, 80 (03) : 787 - 838
  • [9] SCALAR PARTICLE PRODUCTION IN SCHWARZSCHILD AND RINDLER METRICS
    DAVIES, PCW
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1975, 8 (04): : 609 - 616
  • [10] QUANTIZATION ON HYPERBOLOIDS AND FULL SPACE-TIME FIELD EXPANSION
    DISESSA, A
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1974, 15 (11) : 1892 - 1900
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