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

  • Paul Romatschke
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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.

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Cite

BibTeXRIS
BibTeX
@misc{romatschke2026variational,
  title = {{Variational Solution of Non-Hermitian Quantum Field Theory in Two Dimensions}},
  author = {Paul Romatschke},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.19798},
  eprint = {2609.19798},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.19798},
}
RIS
TY  - UNPB
TI  - Variational Solution of Non-Hermitian Quantum Field Theory in Two Dimensions
AU  - Paul Romatschke
PY  - 2026
DA  - 2026/09/17
PB  - arXiv
DO  - 10.48550/arxiv.2609.19798
UR  - https://arxiv.org/abs/2609.19798
AB  - 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.
ER  -