Abstract
In the following lectures I wish to review the present state of quantum field theory following the approach usually called “asymptotic quantum field theory”. Since certain mathematical developments, especially from the theory of generalized functions, will be an important prerequisit, I shall proceed as follows. In order to avoid interrupting the development of the physical theory by mathematical asides, I shall first present several primarily mathematical topics which will then be used in the second part of these lectures for the development of the physical theory. The outline is therefore as follows:
Lecture given at the VI. Internationalen Universitätswochen f.Kernphysik, Schladming, 26 February–11 March 1967.
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References (in Chronological Order)
N. N. Bogoljubov, Izv. Akad. Nauk SSSR,Ser. Fiz. 19, 237 (1955).
H. Lehmann, R. Symanzik and W. Zimmermann, Nuovo Cimento 1, 205 and 2, 425 (1955); 6, 319 (1957).
V. Glaser, H. Lehmann and W. Zimmermann, Nuovo Cim. 6, 1122 (1957).
N. N. Bogoljubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields, Interscience, New York 1959.
M. Muraskin and K. Nishijima, Phys. Rev. 122, 331 (1961).
V. Ya. Fainberg, Soviet Physics, JETP, 13, 1237 (1961).
R. E. Pugh, Ann. Phys. 23, 335 (1963).
F. Rohrlich, J. Math. Phys. 5, 324 (1964).
R. E. Pugh, Ann. Phys. 30, 422 (1964).
V. Ya. Fainberg, Z. Eksp. i Teor. Fiz. 47, 2285 (1964) - Soviet Physics JETP, 20, 1529 (1965).
F. Rohrlich and J. C. Stcddart, J. Math. Phys. 6, 495 (1965).
B. V. Medvedev, Z. Eksp. i Teor. Fiz. 48,1479 (1965)- Sov. Phys. JETP, 21, 989 (1965).
R. E. Pugh, J. Math. Phys. 6, 740 (1965).
F. Rohrlich and F. Strocchi, Phys. Rev. 139, B476 (1965).
R. E. Pugh, J. Math. Phys. 7, 379 (1966).
F. Rohrlich and M. Wilner, J. Math. Phys. 7, 482 (1966).
T. W. Chen, F. Rohrlich and M. Wilner, J. Math. Phys. 7, 1365 (1966).
F. Rohrlich and J. G. Wray, J. Math. Phys. 7, 1697 (1966).
T. W. Chen, Nuovo Cim. 45, A533 (1966).
F. Rohrlich, “Asymptotic Quantum Field Theory”, p. 295 in Perspectives in Modern Physics, ed. By R. E. Marshak, Interscience - Wiley, 1966.
T. W. Chen, Ann. Phys. (in press).
V. Gorgé and F. Rohrlich, J. Math. Phys. (in press).
J. G. Wray, Ph. D. Thesis, Syracuse University (1967)
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Rohrlich, F. (1967). Quantum Field Theory and Generalized Functions. In: Urban, P. (eds) Special Problems in High Energy Physics. Acta Physica Austriaca, vol 4/1967. Springer, Vienna. https://doi.org/10.1007/978-3-7091-5485-4_9
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DOI: https://doi.org/10.1007/978-3-7091-5485-4_9
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