HADAMARD STATES, ADIABATIC VACUA AND THE CONSTRUCTION OF PHYSICAL STATES FOR SCALAR QUANTUM FIELDS ON CURVED SPACETIME
1996 ◽
Vol 08
(08)
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pp. 1091-1159
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Keyword(s):
Quasifree states of a linear Klein-Gordon quantum field on globally hyperbolic spacetime manifolds are considered. After a short mathematical review techniques from the theory of pseudodifferential operators and wavefront sets on manifolds are used to develop a criterion for a state to be an Hadamard state. It is proven that ground- and KMS-states on certain static spacetimes and adiabatic vacuum states on Robertson-Walker spaces are Hadamard states. A counterexample is given which shows that the idea of instantaneous positive energy states w.r.t. a Cauchy surface does in general not yield physical states. Finally, the problem of constructing Hadamard states on arbitrary curved spacetimes is solved in principle.
1997 ◽
Vol 09
(05)
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pp. 635-674
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Keyword(s):
2018 ◽
Vol 27
(11)
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pp. 1843007
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2017 ◽
Vol 29
(04)
◽
pp. 1750014
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2002 ◽
Vol 2
(4)
◽
pp. 163-197
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2004 ◽
Vol 13
(03)
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pp. 597-610
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2008 ◽
Vol 23
(16n17)
◽
pp. 2563-2577
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Keyword(s):
2009 ◽
Vol 16
(2)
◽
pp. 300-308
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1990 ◽
Vol 134
(1)
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pp. 29-63
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MICROLOCAL SPECTRUM CONDITION AND HADAMARD FORM FOR VECTOR-VALUED QUANTUM FIELDS IN CURVED SPACETIME
2001 ◽
Vol 13
(10)
◽
pp. 1203-1246
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