Axiomatic analyticity properties and representations of particles in thermal quantum field theory
Annales de l'I.H.P. Physique théorique, Volume 64 (1996) no. 4, p. 495-521
@article{AIHPA_1996__64_4_495_0,
     author = {Bros, Jacques and Buchholz, Detlev},
     title = {Axiomatic analyticity properties and representations of particles in thermal quantum field theory},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {64},
     number = {4},
     year = {1996},
     pages = {495-521},
     zbl = {0857.46054},
     mrnumber = {1407758},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1996__64_4_495_0}
}
Bros, Jacques; Buchholz, Detlev. Axiomatic analyticity properties and representations of particles in thermal quantum field theory. Annales de l'I.H.P. Physique théorique, Volume 64 (1996) no. 4, pp. 495-521. http://www.numdam.org/item/AIHPA_1996__64_4_495_0/

[1] Proceedings of the International Symposium on Statistical mechanics of quarks and hadrons, Bielefeld 1980; ed H. Satz (North Holland, Amsterdam 1981). | MR 703866

[2] Proceedings of the 3rd Workshop on Thermal Field Theories and their Applications, Banff 1993; eds F. C. Khanna, R. Kobes, G. Kunstatter and H. Umezawa (World Scientific, Singapore 1994).

[3] Proceedings of the NATO Advanced Research Workshop on Hot hadronic matter, Divonne 1994; eds H. Gutbrod, J. Letessier and J. Rafelski (Plenum, New York 1995).

[4] N.P. Landsman and Ch.G. Van Weert, Phys. Reports, Vol. 145 , 1987, pp. 141.

[5] H.A. Weldon, Phys. Rev., Vol. D 26, 1982, pp. 1394, and Phys. Rev., Vol. D 47, 1989, pp. 2410.

[6] R. Pisarski, Physica, Vol. A 158, 1989, pp. 146.

[7] P.A. Henning, Phys. Reports, Vol. 253, 1995, pp. 235. | MR 1321337

[8] M. Lutz and T. Kunihiro, Z. Phys., Vol. C 49, 1991, pp. 123 and R.L. Kobes, Z. Phys., Vol. C 53, 1992, pp. 537.

[9] T.S. Evans, Phys. Rev., Vol. D 47, 1993, R4196 and T.S. Evans and A.C. Pearson, Phys. Rev., Vol. D 52, 1995, pp. 4652.

[10] R.F. Streater and A.S. Wightman, PCT, Spin and Statistics and All That, Benjamin, New York, 1964. | MR 161603 | Zbl 0135.44305

[11] R. Jost, The General Theory of Quantized Fields, American Math. Society, Providence, 1965. | MR 177667 | Zbl 0127.19105

[12] N.N. Bogolubov, A.A. Logunov, A.I. Oksak and I.T. Todorov, General Principles of Quantum Field Theory, Nauka Publishers, Moscow, 1987 and Kluwer Academic Publishers, Dordrecht, 1990. | MR 941368 | Zbl 0732.46040

[13] D. Iagolnitzer, Scattering in Quantum Field Theories, Princeton University Press, Princeton, 1993. | MR 1247459 | Zbl 0801.47004

[14] R. Haag, N.M. Hugenholtz and M. Winnink, Commun. Math. Phys., Vol. 5, 1967, pp. 215. | MR 219283 | Zbl 0171.47102

[15] R. Haag, D. Kastler and E.B. Trych-Pohlmeyer, Commun. Math. Phys., Vol. 38, 1974, pp. 173. | MR 403516

[16] W. Pusz and S.L. Woronowicz, Commun. Math. Phys., Vol. 58, 1978, pp. 273. | MR 471796

[17] J. Bros and D. Buchholz, Nucl. Phys., Vol. B 429, 1994, pp. 291. | MR 1299069 | Zbl 1009.81511

[18] J. Bros and D. Buchholz, Z. Phys., Vol. C 55, 1992, pp. 509.

[19] J. Bros and D. Buchholz, Relativistic KMS-Condition and Källén-Lehmann Type Representations of Thermal Propagators, hep-th/9511022, in Proceedings of the 4th Workshop on Thermal Field Theories and their Applications, Dalian 1995 (to be published). | MR 1433369

[20] H.J. Borchers, Nuovo Cimento, Vol. 24, 1962, pp. 214. | MR 142320 | Zbl 0129.42205

[21] A. Uhlmann, Wiss. Zeits. Karl Marx Univ., Vol. 11, 1962, pp. 213. | MR 141413 | Zbl 0119.43804

[22] R. Haag, Local Quantum Physics, Springer, Berlin, 1992. | MR 1182152 | Zbl 0777.46037

[23] T.S. Evans, N-point functions in imaginary and real time finite temperature formalisms in: Proceedings of the 2nd Workshop on Thermal Field Theories and their Applications, Tsukuba 1990; ed. H. EZAWA et al. (North Holland, Amsterdam 1991) and Nucl. Phys., Vol. B 374, 1992, pp. 340. | MR 1164045

[24] O. Steinmann, Helv. Phys. Acta, Vol. 33, 1960, pp. 257. | MR 111510 | Zbl 0131.44201

[25] H. Araki and N. Burgoyne, Nuovo Cimento, Vol. 18, 1960, pp. 342 and H. Araki, J. Math. Phys., Vol. 2, 1961, pp. 163. | MR 127247 | Zbl 0098.43105

[26] D. Ruelle, Nuovo Cimento, Vol. 19, 1961, pp. 356. | MR 121152 | Zbl 0097.43003

[27] J. Bros, Thesis, Paris, 1970.

[28] H. Epstein, V. Glaser and R. Stora, General properties of the n-point functions in local quantum field theory, in: Structural analysis of collision amplitudes, R. BALIAN and D. IAGOLNITZER eds, North Holland, Amsterdam, 1976, pp. 7-94. | MR 468697

[29] A.S. Wightman, Analytic Functions of several complex variables, in: Dispersion Relations and Elementary Particles, Wiley, New York, 1960, pp. 159-221. | MR 146405 | Zbl 0115.44802

[30] P.A. Henning, E. Poliatchenko, T. Schilling and J. Bros, Approximate spectral functions in thermal field theory, to appear.

[31] J.-L. Gervais and F.J. Yndurain, General Representation of Causal Distributions, unpublished.

[32] J. Bros and D. Buchholz, Fields at finite temperature: A general study of the two-point functions, in preparation.

[33] H. Bateman, Tables of Integral Transforms, Vol. I, McGraw-Hill, New York, 1954. | MR 61695

[34] R.P. Boas, Entire Functions, Academic Press, New York, 1954. | MR 68627 | Zbl 0058.30201

[35] J. Bros, work in progress.

[36] O. Steinmann, Commun. Math. Phys., Vol. 170, 1995, pp. 405 and Ann. Inst. Henri Poincaré, Vol. 63, 1995, pp. 399. | MR 1367144 | MR 1334402 | Zbl 0827.47055

[37] H. Narnhofer, M. Requardt and W. Thirring, Commun. Math. Phys., Vol. 92, 1983, pp. 247. | MR 728869 | Zbl 0534.46050

[38] N.P. Landsman, Ann. Phys., Vol. 186, 1988, pp. 141. | MR 966684

[39] J. Bros and D. Buchholz, The Unmasking of Thermal Goldstone Bosons, to appear.