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Phase Transitions at More Unusual Values of Theta

  • Dhruv Aldas
  • Hitoshi Murayama
  • Bea Noether
  • Digvijay Roy Varier
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Abstract

We calculate the θ dependence of the vacuum energy in an infinite family of cousins of QCD, where the vacuum structure can be analyzed exactly. These theories are 𝒩=1 EFTs that descend from 𝒩=2 SU(Nc) gauge theory with Nf flavors of fundamental hypermultiplets, that are then deformed by anomaly mediated supersymmetry breaking (AMSB). We reproduce results found in previous work that used the full 𝒩=2 machinery but via a much simpler 𝒩=1 method. Our method easily extends to infinitely many more theories for which the full 𝒩=2 approach becomes intractable. We identify values of θ for which the theory undergoes a phase transition, and find that they can occur at both fractional and irrational values of θ/π.

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Cite

BibTeXRIS
BibTeX
@misc{aldas2026phase,
  title = {{Phase Transitions at More Unusual Values of Theta}},
  author = {Dhruv Aldas and Hitoshi Murayama and Bea Noether and Digvijay Roy Varier},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.22613},
  eprint = {2609.22613},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.22613},
}
RIS
TY  - UNPB
TI  - Phase Transitions at More Unusual Values of Theta
AU  - Dhruv Aldas
AU  - Hitoshi Murayama
AU  - Bea Noether
AU  - Digvijay Roy Varier
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2609.22613
UR  - https://arxiv.org/abs/2609.22613
AB  - We calculate the θ dependence of the vacuum energy in an infinite family of cousins of QCD, where the vacuum structure can be analyzed exactly. These theories are 𝒩=1 EFTs that descend from 𝒩=2 SU(N_c) gauge theory with N_f flavors of fundamental hypermultiplets, that are then deformed by anomaly mediated supersymmetry breaking (AMSB). We reproduce results found in previous work that used the full 𝒩=2 machinery but via a much simpler 𝒩=1 method. Our method easily extends to infinitely many more theories for which the full 𝒩=2 approach becomes intractable. We identify values of θ for which the theory undergoes a phase transition, and find that they can occur at both fractional and irrational values of θ/π.
ER  -