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Exponentiation of multiparticle amplitudes in scalar theories. II. Universality of the exponent

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arxiv hep-ph/9503412 v1 pith:K2HXTZG6 submitted 1995-03-22 hep-ph

classification hep-ph
keywords multiparticleexponentamplitudeamplitudesbehaviorexponentialprocessesproduction
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abstract

It has been shown recently that the amplitude of the creation of $n$ real scalar particles by one virtual boson near $n$--particle threshold exhibits exponential behavior at $n\sim1/\lambda$. We extend this result to the processes of multiparticle production at threshold by two virtual bosons. We find that both the tree--level amplitude and leading--$n$ loop corrections have the same exponential behavior, with the common exponent for $1\to n$ and $2\to n$ processes, for various kinematics. This result strongly indicates that the exponent for multiparticle amplitudes is independent of the initial state and that there may exist a semiclassical approach to the study of multiparticle production.

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Cited by 4 Pith papers

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  3. Accessing Large Global Charge via the $\epsilon$-Expansion

    hep-th 2019-09 conditional novelty 6.0 of 10

    The lowest operator dimension at large global charge in the O(2) Wilson-Fisher model is derived to leading order in 1/J and epsilon, giving 0.293 J^(3/2) at D = 3 and a crossover controlled by lambda = J epsilon.

  4. The large charge limit of scalar field theories and the Wilson-Fisher fixed point at $\epsilon=0$

    hep-th 2019-08 accept novelty 6.0 of 10

    In the double scaling limit g to 0, n to infinity at fixed lambda = g n^2, the dimension of the charge n operator phi^n in the O(2) Wilson-Fisher theory is exactly n + lambda/(32 pi^2).

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