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  • 1
    Electronic Resource
    Electronic Resource
    Macroscopic causality and physical region analyticity in S-matrix theory (1969)
    Springer
    Communications in mathematical physics 14 (1969), S. 15-55 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract An equivalence is proved between a certain macroscopic causality condition and the normal analytic structure of the physical-regionS-matrix. The normal analytic structure is this: each scattering function has physical-region singularities only on positive-α Landau surfaces and near these surfaces it is the limit from certain well-defined directions of a unique analytic function. The macroscopic causality condition is formulated in terms ofS-matrix concepts. It expresses the requirement that in an appropriate classical macroscopic limit all transition amplitudes fall off in the way indicated by classical estimates. This result gives, on the one hand, a physical basis for the basic physical-region analyticity properties of theS matrix. On the other hand, it gives, alternatively, a basis for a space-time description of phenomena starting from momentum space properties having noa priori space-time content.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01645454
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Asymptotic completeness and multiparticle structure in field theories (1987)
    Springer
    Communications in mathematical physics 111 (1987), S. 81-100 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The ideas developed in Part I (ref. [1]) are applied to the recently constructed massive Gross-Neveu model. We define in this case an irreducible kernel satisfying a regularized Bethe-Salpeter equation which is convenient to derive asymptotic completeness in the 2-particle region. As in Part I, the method allows direct graphical definition of general irreducible kernels and is well suited to the analysis of asymptotic completeness and related results in more general energy regions. A large part of the paper is devoted to a new self-contained construction (via phase space expansion) of the Gross-Neveu model. The presentation is somewhat simpler than previous ones, is more complete on some points and is best suited to our purposes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01239017
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    The pole-factorization theorem inS-matrix theory (1977)
    Springer
    Communications in mathematical physics 57 (1977), S. 1-30 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Previous derivations of physical-region discontinuity formulas in S-matrix theory make use of an ad hoc assumption according to which certain sets of singularities associated with mixed-α Landau diagrams cancel among themselves. The aim of the present work is to prove the simplest of these discontinuity formulas, namely, the pole-factorization theorem for a 3 → 3 equal-mass process below the 4-particle threshold, without using this mixed-α cancellation assumption. The result is derived from macro-causality, unitarity and two weak regularity assumptions on scattering functions and bubble diagram functions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01651691
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    Paper (German National Licenses)
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  • 4
    Book
    Book
    Fields medallists' lectures /; 9 (2003)
    New Jersey [u.a] :World Scientific Publishing,
    Details
    Title: Fields medallists' lectures /; 9
    Contributer: Atiyah, Michael Francis , Iagolnitzer, Daniel
    Edition: 2. ed.
    Publisher: New Jersey [u.a] :World Scientific Publishing,
    Year of publication: 2003
    Series Statement: World Scientific Series in 20th Century Mathematics 9
    ISBN: 981-238-259-3 , 978-981-238-259-7
    Type of Medium: Book
    Language: English
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