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Consequences of Minimal Entanglement in Bosonic Field Theories

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arxiv 2409.13030 v3 pith:WTR54SEB submitted 2024-09-19 hep-ph hep-th

Spencer Chang , Gabriel Jacobo This is my paper · ORCID
classification hep-phhep-th
keywords entanglementminimalscatteringsymmetriesconnectionconstraintsfieldlooking
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

In this paper, we study a recently discovered connection between scattering that minimally entangles and emergent symmetries. In a perturbative expansion, we have generalized the constraints of minimal entanglement scattering, beyond qubits, to general qudits of dimension $d.$ Interestingly, projecting on any qubit subspaces, the constraints factorize, so that it is consistent to analyze minimal entanglement by looking at all such subspaces. We start by looking at toy models with two scalar fields, finding that minimal entanglement only allows quartic couplings which have instabilities at large field values and no symmetries. For the two Higgs doublet model, by considering $H^+ H^-\to H^+ H^-$ scattering, we show that minimal entanglement in this channel does not allow an interacting parameter point with enhanced symmetries. These results show that the connection between minimal entanglement and symmetries depends strongly on the scattering channels analyzed and we speculate on the potential resolutions.

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Cited by 5 Pith papers

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