Recently it has been shown that the Reeh–Schlieder property w.r.t. thermal equilibrium states is a direct consequence of locality, additivity and the relativistic KMS condition. Here we extend this result to ground states.

References

[1]H. Araki, Mathematical Theory of Quantum Fields (Oxford University Press, Oxford, 1999).
Google Scholar
[2]H.J. Borchers and D. Buchholz, Global properties of vacuum states in de Sitter space, Ann. Inst. Henri Poincare A 70, 23–40 (1999).
Web of Science® Google Scholar
[3]J. Bros and D. Buchholz, Towards a relativistic KMS condition, Nucl. Phys. B 429, 291–318 (1994).
10.1016/0550-3213(94)00298-3
CAS Web of Science® Google Scholar
[4]J. Bros, H. Epstein, and U. Moschella, Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time, Commun. Math. Phys. 196, 535–570 (1998).
10.1007/s002200050435
Web of Science® Google Scholar
[5]O. Bratteli and D.W. Robinson, Operator Algebras and Quantum Statistical Mechanics I, II (Springer-Verlag, New York-Heidelberg-Berlin, 1981).
Google Scholar
[6]D. Buchholz and P. Junglas, On the existence of equilibrium states in local quantum field theory, Commun. Math. Phys. 121, 255–270 (1989).
10.1007/BF01217805
Web of Science® Google Scholar
[7]R. Clifton and H. Halvorson, Generic Bell correlation between arbitrary local algebras in quantum field theory, J. Math. Phys. 41, 1711–1717 (2000).
10.1063/1.533253
Web of Science® Google Scholar
[8]V. Glaser, The positivity condition in momentum space, in: Problems in Theoretical Physics. Essays dedicated to N. N. Bogoliubov, edited by D.I. Bolkhintsev et al. (Nauka, Moscow, 1969).
Google Scholar
[9]V. Glaser, On the equivalence of the Euclidean and Wightman formulation of field theory, Commun. Math. Phys. 37, 257–272 (1974).
10.1007/BF01645941
Web of Science® Google Scholar
[10]R. Haag, Local Quantum Physics: Fields, Particles, Algebras (Springer-Verlag, Berlin-Heidelberg-New York, 1992).
Google Scholar
[11]C.D. Jäkel, The Reeh–Schlieder property for thermal states, J. Math. Phys. 41, 1745–1754 (2000).
10.1063/1.533208
Web of Science® Google Scholar
[12]P. Junglas, Thermodynamisches Gleichgewicht und Energiespektrum in der Quantenfeldtheorie, Dissertation, Universität at Hamburg (1987).
Google Scholar
[13]L. Landau, On the violation of Bell's inequality in quantum theory, Phys. Lett. 120, 54–56 (1987).
10.1016/0375-9601(87)90075-2
Web of Science® Google Scholar
[14]W. Rudin, Real and Complex Analysis, 2nd ed. (McGraw-Hill, New York, 1974).
Google Scholar
[15]M. Requardt, Reeh–Schlieder-type density results in one- and n-body Schrödinger theory and “unique continuation problem”, J. Math. Phys. 27, 1571–1577 (1986).
10.1063/1.527068
Web of Science® Google Scholar
[16]H. Reeh and S. Schlieder, Bemerkungen zur Unitäräquivalenz von Lorentzinvarianten Feldern, Nuovo Cimento 22, No. 5, 1051–1056 (1961).
10.1007/BF02787889
Web of Science® Google Scholar
[17]A. Strohmaier, The Reeh–Schlieder property for the Dirac field on static spacetimes, math-ph/9911023.
Google Scholar
[18]R.F. Streater and A.S. Wightman, PCT, Spin and Statistics and all that (Benjamin, New York, 1964).
Google Scholar
[19]J.S. Summers and R.F. Werner, On Bell's inequalities and quantum field theory. II. Bell's inequalities are maximally violated in the vacuum, J. Math. Phys. 28, 2440–2447 (1987).
10.1063/1.527733
Web of Science® Google Scholar
[20]R. Verch, Antilocality and a Reeh–Schlieder theorem on manifolds, Lett. Math. Phys. 28, 143–154 (1993).
10.1007/BF00750307
Web of Science® Google Scholar

Volume515, Issue5

July 2003

Pages 289-299

The Reeh–Schlieder property for ground states

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The Reeh–Schlieder property for ground states

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