Variational Solution of Non-Hermitian Quantum Field Theory in Two Dimensions

Abstract:This work describes a variational technique to solve non-Hermitian quantum systems, in particular those with negative coupling quartic self-interaction. Differences of applying variational methods from standard quantum mechanics to non-Hermitian quantum mechanics -- including potential pitfalls -- are highlighted. A successful implementation of the variational approach for the non-Hermitian case is presented. The technique is used to analyze scalar quantum field theory in d=2 with negative quartic self-interaction in the Hamiltonian formulation in lattice discretization.

arXiv:2609.19798 [hep-th]

(or arXiv:2609.19798v1 [hep-th] for this version)

https://doi.org/10.48550/arXiv.2609.19798 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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