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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Order-separated tensor-network method for QCD in the strong-coupling expansion

  1. 1University of Regensburg

Abstract

We introduce the order-separated Grassmann higher-order tensor renormalization group (OS-GHOTRG) method for QCD with staggered quarks in the strong-coupling expansion. The method allows us to determine the expansion coefficients of the partition function, from which we can obtain the strong-coupling expansions of thermodynamical observables. We use the method in two dimensions to compute the free energy, the particle-number density, and the chiral condensate as a function of the chemical potential up to third order in the inverse coupling β. Although near the phase transition the expansion is only a good approximation to the full theory at small β, we show that the range of applicability can be greatly extended by fits to judiciously chosen transition functions.

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BibTeX
@article{samberger2026orderseparated,
  title = {{Order-separated tensor-network method for QCD in the strong-coupling expansion}},
  author = {Thomas Samberger and Jacques Bloch and Robert Lohmayer and Tilo Wettig},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = nov,
  doi = {10.1007/jhep11(2026)050},
  url = {https://link.springer.com/article/10.1007/JHEP11(2026)050},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Order-separated tensor-network method for QCD in the strong-coupling expansion
AU  - Thomas Samberger
AU  - Jacques Bloch
AU  - Robert Lohmayer
AU  - Tilo Wettig
PY  - 2026
DA  - 2026/11/05
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep11(2026)050
UR  - https://link.springer.com/article/10.1007/JHEP11(2026)050
AB  - We introduce the order-separated Grassmann higher-order tensor renormalization group (OS-GHOTRG) method for QCD with staggered quarks in the strong-coupling expansion. The method allows us to determine the expansion coefficients of the partition function, from which we can obtain the strong-coupling expansions of thermodynamical observables. We use the method in two dimensions to compute the free energy, the particle-number density, and the chiral condensate as a function of the chemical potential up to third order in the inverse coupling β. Although near the phase transition the expansion is only a good approximation to the full theory at small β, we show that the range of applicability can be greatly extended by fits to judiciously chosen transition functions.
SN  - 1029-8479
ER  -