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Fields, Particles and Analyticity: Recent Results or 30 Goldberg ...(er) Variations on B.A.C.H. where B=Bethe Salpeter Equation, A=Axiomatic Field Theory C=Complex Variables and H=Harmonic Analysis

In: Mathematical Physics X

Author

Listed:
  • J. Bros

    (CE-Saclay, Service de Physique Théorique de Saclay)

Abstract

As it is known, Axiomatic Field Theory (A) implies “double analyticity” of the n-point functions in space-time and energy-momentum Complex Variables (C), with various interconnections by Fourier-Laplace analysis. When the latter is replaced by Harmonic Analysis (H) on spheres and hyperboloids, a new kind of double analyticity results from (A) (i.e. from locality, spectral condition, temperateness and invariance): complex angular momentum is thereby introduced (a missing chapter in (A)). Exploitation of Asymptotic Completeness via Bethe-Salpeter-type equations (B) leads to new developments of the previous theme on (A,C,H) (complex angular momentum) and of other themes on (A, C) (crossing, Haag-Swieca property etc...). Various aspects of (A) + (B) have been implemented in Constructive Field Theory (composite spectrum, asymptotic properties etc...) by a combination of specific techniques and of model-independent methods.

Suggested Citation

  • J. Bros, 1992. "Fields, Particles and Analyticity: Recent Results or 30 Goldberg ...(er) Variations on B.A.C.H. where B=Bethe Salpeter Equation, A=Axiomatic Field Theory C=Complex Variables and H=Harmonic Analysis," Springer Books, in: Konrad Schmüdgen (ed.), Mathematical Physics X, pages 376-382, Springer.
  • Handle: RePEc:spr:sprchp:978-3-642-77303-7_39
    DOI: 10.1007/978-3-642-77303-7_39
    as

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