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Bootstrapping string models with entanglement minimization and Machine-Learning

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arxiv 2409.18259 v2 pith:T3DFDZGO submitted 2024-09-26 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords approachamplitudesbehaviourbootstrappingentanglementhypothesisleadingmachine-learning
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a new approach to bootstrapping string-like theories by exploiting a local crossing symmetric dispersion relation and field redefinition ambiguities. This approach enables us to use mass-level truncation and to go beyond the dual resonance hypothesis. We consider both open and closed strings, focusing mainly on open tree-level amplitudes with integer-spaced spectrum, and two leading Wilson coefficients as inputs. Using entanglement minimization in the form of the minimum of the first finite moment of linear entropy or entangling power, we get an excellent approximation to the superstring amplitudes, including the leading and sub-leading Regge trajectories. We find other interesting S-matrices which do not obey the duality hypothesis, but exhibit a transition from Regge behaviour to power law behaviour in the high energy limit. Finally, we also examine Machine-Learning techniques to do bootstrap and discuss potential advantages over the present approach.

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Cited by 8 Pith papers

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