Why is there no particle production in integrable theories?
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Integrable theories do not exhibit particle production due to the assumption of complete factorization of scattering, transmission, and particle creation processes at all times . This assumption implies that the simultaneous transmission and creation of particles is impossible in generic interacting theories . By imposing no particle production in tree level scattering, the form of admissible interactions in a theory of scalar superfields in two dimensions is constrained, resulting in a supersymmetric extension of the sinh-Gordon model . High-energy limits can be used to derive recursion relations for Lagrangians of two-dimensional relativistic quantum field theories with no tree-level particle production, leading to the rediscovery of various models such as the sine-Gordon model and the U(N) non-linear sigma model .
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| Papers (5) | Insight |
|---|---|
| The provided paper does not discuss why there is no particle production in integrable theories. | |
| The paper does not provide an explicit answer to why there is no particle production in integrable theories. | |
| The provided paper does not discuss integrable theories or the absence of particle production in such theories. | |
| There is no explicit answer to the query in the provided paper. The paper discusses a theory of scalar superfields in two dimensions and imposes constraints on the form of admissible interactions to recover a supersymmetric extension of the sinh-Gordon model. The paper does not specifically address the absence of particle production in integrable theories. | |
| There is no consistent solution for simultaneous particle creation and transmission amplitudes in integrable theories. |
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