@article{AIHPA_1980__33_3_251_0,
author = {Morchio, G. and Strocchi, F.},
title = {Infrared singularities, vacuum structure and pure phases in local quantum field theory},
journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
pages = {251--282},
publisher = {Gauthier-Villars},
volume = {33},
number = {3},
year = {1980},
mrnumber = {601840},
language = {en},
url = {http://archive.numdam.org/item/AIHPA_1980__33_3_251_0/}
}
TY - JOUR AU - Morchio, G. AU - Strocchi, F. TI - Infrared singularities, vacuum structure and pure phases in local quantum field theory JO - Annales de l'institut Henri Poincaré. Section A, Physique Théorique PY - 1980 SP - 251 EP - 282 VL - 33 IS - 3 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1980__33_3_251_0/ LA - en ID - AIHPA_1980__33_3_251_0 ER -
%0 Journal Article %A Morchio, G. %A Strocchi, F. %T Infrared singularities, vacuum structure and pure phases in local quantum field theory %J Annales de l'institut Henri Poincaré. Section A, Physique Théorique %D 1980 %P 251-282 %V 33 %N 3 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1980__33_3_251_0/ %G en %F AIHPA_1980__33_3_251_0
Morchio, G.; Strocchi, F. Infrared singularities, vacuum structure and pure phases in local quantum field theory. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 33 (1980) no. 3, pp. 251-282. http://archive.numdam.org/item/AIHPA_1980__33_3_251_0/
[1] , Quantum Electrodynamics. Dover.
[2] , Niels Bohr and the Development of Physics. Mc Graw-Hill, New York, 1955. | MR
, Consistency problems in Quantum Electrodynamics. Cern Rep. 57-43 and article in Handuch der Physik.
, and , Nuovo Cimento, t. 1, 1955, p. 1425; t. 2, 1955, p. 425 ; t. 6, 1957, p. 319.
[3] , Les Problèmes Mathématiques de la Théorie Quantique des Champs, C. N. R. S., Paris, 1959. Phys. Rev., t. 101, 1956, p. 860.
[4] See , Rev. Mod. Phys., t. 46, 1974, p. 255.
[5] , Phys. Rev., t. D 10, 1974, p. 2445.
, Phys. Letters, t. 59 B, 1975, p. 82.
, Phys. Letters, t. 59 B, 1975, p. 85.
, Phys. Rev. Letters, t. 37, 1976, p. 8.
and , Ibid., t. 37, 1976, p. 172.
, and , Phys. Letters, t. 63 B, 1976, p. 334.
[6] and , Ann. Phys. N. Y., t. 110, 1978, p. 440. , and , I. H. E. S., preprints, 1979. | MR
[7] See , and , Ann. Phys. N. Y.
[8] , Gauss' law in local QFT, Invited talk at the International Symposium on Elementary Particle Physics. Reinhardsbrunn, October 1978.
, Phys. Rev., t. D 17, 1978. p. 2010. | MR
[9] , and , Commun. Math. Phys., t. 35, 1974, p.25 ; Nuovo Cimento, t. 39 A, 1977, p. 1. | MR
[10] , Phys. Letters, t. 62 B, 1976, p. 60; Phys. Rev., t. D 17, 1978, p. 2010.
[11] and , PCT Spin and Statistics and All That. Benjamin, 1964. | MR | Zbl
[13] and , Journ. Math. Phys., t. 5, 1964, p. 848. | Zbl
, in Local Quantum Field Theory. Varenna School, 1968, R. Jost, ed.
[14] and , Introduction to the Theory of Quantized Fields. Interscience, New York, 1959. | MR | Zbl
and , in Les Houches Lectures, 1970, Statistical Mechanics and Quantum Field Theory. C. De Witt and R. Stora eds., Gordon and Breach, New York, 1971.
, Ibid.
[15] , unpublished notes Oct. 1960. I am grateful to Prof. H. Reeh for giving me a copy of these notes.
[16] , Algebraic Aspects of Wightman's field theory, in Statistical Mechanics and Field Theory. Haifa Summer School, R. N. Sen and C. Weil eds., New York, 1972. | Zbl
[18] The analysis of . and , Commun. Math. Phys., t. 23. 1971, p. 199: t. 28. 1972, p. 331, is therefore not applicable in this case. | MR
[19] These results were discussed with , Reports on Math. Physics, t. 12, 1977. p. 57, Proposition 2, and at the Aspen Workshop on Quantum Electrodynamics, Aspen, June 7-27, 1976 (, Phys. Rev., t. D 17, 1978, p. 2010).
[20] See , Commun. Math. Phys., t. 34, 1973, p. 315. | Zbl
[22] For mathematical properties of these operators see , and , Commun. Math. Phys., t. 41, 1975, p. 289.
[24] , Indefinite Inner Product Spaces. Springer Verlag, 1974. | MR | Zbl
[25] and , paper on the Schwinger model, in preparation.
[26] , Second Mathematical Summer School, Part I. Naukova Dumka Kiev, 1965, translated in A. M. S. Transl., t. 93, 2, 1970, p. 103, and references therein.
[27] , and , Helv. Phys. Acta, t. 35, 1962, p. 164. | MR | Zbl
[33] and , Linear Operators, Part I. Interscience, New York, 1958, Chap. VII. | MR | Zbl
[34] , Soviet Mat., t. IV, 1, 1963, p. 543.
[35] and , Ann. Phys. N. Y., t. 68, 1971, p. 172. | MR
, and , Ann. Phys. N. Y., t. 93, 1975, p. 267.
[36] , Phys. Rev., t. D 17, 1978, p. 457.
[37] and , Arkiu for Fysik, t. 28, 1964, p. 129, p. 153-156. | Zbl
