Decay of spatial correlations in thermal states
Annales de l'I.H.P. Physique théorique, Volume 69 (1998) no. 4, p. 425-440
@article{AIHPA_1998__69_4_425_0,
     author = {J\"akel, Christian D.},
     title = {Decay of spatial correlations in thermal states},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {69},
     number = {4},
     year = {1998},
     pages = {425-440},
     zbl = {0931.46048},
     mrnumber = {1659583},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1998__69_4_425_0}
}
Jäkel, Christian D. Decay of spatial correlations in thermal states. Annales de l'I.H.P. Physique théorique, Volume 69 (1998) no. 4, pp. 425-440. http://www.numdam.org/item/AIHPA_1998__69_4_425_0/

[AHR] H. Araki, K. Hepp and D. Ruelle, On the asymptotic behavior of Wightman functions in space-like directions, Helv. Phys. Acta., 35, 1962, pp. 164-174. | MR 141407 | Zbl 0161.23503

[BB] J. Bros and D. Buchholz, Towards a relativistic KMS-condition, Nucl. Phys. B., 429, 1994, pp. 291-318. | MR 1299069 | Zbl 1009.81511

[BD'AL] D. Buchholz, C. D'Antoni and R. Longo, Nuclear maps and moldular structure II: Applications to quantum field theory, Commun. Math. Phys., 129, 1990, pp. 115-138. | MR 1046280 | Zbl 0773.47007

[BR] O. Bratteli and D.W. Robinson, Operator Algebras and Quantum Statistical Mechanics I, II, Springer-Verlag, New York-Heidelberg-Berlin, 1981. | MR 611508 | Zbl 0463.46052

[BJ] D. Buchholz and P. Jacobi, On the nuclearity condition for massless fields, Lett. Math. Phys., 13, 1987, pp. 313-323. | MR 895294 | Zbl 0637.46079

[BW] D. Buchholz and E. Wichmann, Causal independence and the energy-level density of states in local quantum field theory, Commun. Math. Phys., 106, 1986, pp. 321-344. | MR 855315 | Zbl 0626.46064

[D'ADFL] C. D'Antoni, S. Doplicher, K. Fredenhagen and R. Longo, Convergence of local charges and continuity properties of W*-inclusions, Commun. Math. Phys., 110, 1984, pp. 325-348. | MR 888004 | Zbl 0657.46045

[E] G.G. Emch, Algebraic Methods in Statistical Mechanics and Quantum Field Theory, Wiley, New York, 1972. | Zbl 0235.46085

[F] K. Fredenhagen, A remark on the cluster theorem, Commun. Math. Phys., 97, 1985, pp. 461-463. | MR 778627 | Zbl 0582.46068

[H] R. Haag, Local Quantum Physics: Fields, Particles, Algebras, Springer-Verlag, Berlin-Heidelberg-New York, 1992. | MR 1182152 | Zbl 0777.46037

[HHW] R. Haag, N.M. Hugenholtz and M. Winnink, On the equilibrium states in quantum statistical mechanics, Commun. Math. Phys., 5, 1967, pp. 215-236. | MR 219283 | Zbl 0171.47102

[HK] R. Haag and D. Kastler, An algebraic approach to quantum field theory, J. Math. Phys., 1964, pp. 848-861. | MR 165864 | Zbl 0139.46003

[HKTP] R. Haag, D. Kastler and E.B. Trych-Pohlmeyer, Stability and equilibrium states, Commun. Math. Phys., 38, 1974, pp. 173-193. | MR 403516

[J] P. Junglas, Thermodynamisches Gleichgewicht und Energiespektrum in der Quantenfeldtheorie, Dissertation, Hamburg, 1987.

[K] R. Kubo, Statistical mechanical theory of irreversible prozesses I., J. Math. Soc. Jap., 12, 1957, pp. 570-586. | MR 98482

[MS] P.C. Martin and J. Schwinger, Theory of many-particle systems. I, Phys. Rev., 115/6, 1959, pp. 1342-1373. | MR 109702 | Zbl 0091.22906

[N] H. Narnhofer, Kommutative Automorphismen und Gleichgewichtszustände, Act. Phys. Austriaca, 47, 1977, pp. 1-29. | MR 512374

[O] I. Ojima, Lorentz invariance vs. temperature in QFT, Lett. Math. Phys., 11, 1986, pp. 73-80. | MR 824679

[P] A. Pietsch, Nuclear locally convex spaces, Springer-Verlag, Berlin-Heidelberg- New York, 1972. | MR 350360

[R] D. Ruelle, Statistical Mechanics: Rigorous Results, Addison-Wesley Publishing Co., Inc., 1969 and 1989. | MR 1747792

[Ro] H. Ross, Independence of local algebras in quantum field theory, Commun. Math. Phys., 16, 1970, pp. 238-246. | MR 266539 | Zbl 0197.26303

[S] G. Sewell, Quantum Theory of Collective Phenomena, Clarendon Press, Oxford, 1986. | MR 944531

[SW] R.F. Streater and A.S. Wightman, PCT, Spin and Statistics and all that, Benjamin, New York, 1964. | MR 161603 | Zbl 0135.44305

[T] W. Thirring, A Course in Mathematical Physiscs IV, Springer-Verlag, Berlin- Heidelberg-New York, 1983. | MR 587314