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Titlebook: Renormalization Theory; Proceedings of the N G. Velo,A. S. Wightman Conference proceedings 1976 D. Reidel Publishing Company, Dordrecht, Ho

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書目名稱Renormalization Theory
副標(biāo)題Proceedings of the N
編輯G. Velo,A. S. Wightman
視頻videohttp://file.papertrans.cn/828/827151/827151.mp4
叢書名稱Nato Science Series C:
圖書封面Titlebook: Renormalization Theory; Proceedings of the N G. Velo,A. S. Wightman Conference proceedings 1976 D. Reidel Publishing Company, Dordrecht, Ho
描述The present volume collects lecture notes from the session of the International School of Mathematical Physics ‘Ettore Majorana‘ on Renormalization Theory that took place in Erice (Sicily), August 17 to August 31, 1975. The School was a NATO Advanced Study Institute sponsored by the Italian Ministry of Public Education, the Italian Minis- try of Scientific and Technological Research, and the Regional Sicilian Government. Renormalization theory has, by now, acquired forty years of history. The present volume assumes a general acquaintance with the elementary facts of the subject as they might appear in an introductory course in quantum field theory. For more recent significant developments it provides a systematic intro- duction as well as a detailed discussion of the existing state of knowledge. In particular analytic and dimensional renorma- lization, normal product technique, and the Bogoliubov-Shirkov- Epstein-Glaser method are treated, with applications to physically important gauge theories. All the preceding deals with perturbative renormalization theory. In recent years there has been an interesting development of non-perturbative renormalization theory in models in space-ti
出版日期Conference proceedings 1976
關(guān)鍵詞Soliton; field theory; mathematical physics; model; quantum field theory
版次1
doihttps://doi.org/10.1007/978-94-010-1490-8
isbn_softcover978-94-010-1492-2
isbn_ebook978-94-010-1490-8Series ISSN 1389-2185
issn_series 1389-2185
copyrightD. Reidel Publishing Company, Dordrecht, Holland 1976
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地板
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Quantum Sine-Gordon Equation and Quantum Solitons in Two Space-Time Dimensions,I study mainly the construction and the detailed properties of a new model of a self-interacting, relativistic scalar Bose field in two space- time dimensions: the quantum sine-Gordon equation (≡ s-G theory).
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Non-Perturbative Renormalization in the Yukawa Model In Two Dimensions,tes for more information [VW]) the next model in line is Y2, the “first“ one to require some real renormalization. The next step after that,?. which is even more singular, will be discussed by J. Feldman. The major complication in Y., and at the same time the reason why it can be handled, as we shall see later, is the appearance of fermions.
6#
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Orientation,nd technical subject. As a result it is easy to lose sight of the main themes in the welter of details. In the hope of making the theory more accessible to the earnest student, I shall not flinch from repeating things that all experts know. Furthermore, I hope and expect that many of the points I ma
7#
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Dimensional and Analytic Renormalization,ain (interacting) field operators evaluated at the space time point x. ε R.. The GellMann Low formula expresses (1.1) as a formal power series whose terms are also time-ordered vacuum expectation values, similar to (1.1), but involving free rather than interacting fields; since we are not interested
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,Remark on Equivalent Formulations for Bogoliubov’s Method of Renormalization,l be sketched. In Bogoliubov’s approach the propagators are regularized according to Pauli-Villars so that the unrenormalized Feynman integrals become finite. The renormalized Feynman integrals are then formed by subtracting counter terms which are constructed according to certain combinatorial rule
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Gauge Field Models, School [2,3]. It turns out that the naive identities, which can be deduced on a very formal ground, expressing in terms of the Green functions the quantum equivalent of the Noether theorem are affected with quantum correction depending on the particular renormalization rules. In some “clever” renor
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