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Second-Order Rayleigh-Schr\"odinger Perturbation Theory for the Grasp
G. Gaigalas, P. Rynkun, L. Kitovien\.{e}
https://arxiv.org/abs/2609.29272 https://

Second-Order Rayleigh-Schr\"odinger Perturbation Theory for the GRASP2018 Package: Three-Particle Feynman Diagram Contribution to Core-Valence Correlations
G. Gaigalas, P. Rynkun, L. Kitovien\.{e}
https://arxiv.org/abs/2609.18251

Second-Order Rayleigh-Schr\"odinger Perturbation Theory for the GRASP2018 Package: Three-Particle Feynman Diagram Contribution to Valence-Valence Correlations
G. Gaigalas, P. Rynkun, L. Kitovien\.{e}
https://arxiv.org/abs/2609.18240

Constraints on the $O(n)$ model from a negative number of flavors
Daniele Artico, Jasper Roosmale Nepveu
https://arxiv.org/abs/2608.12481 https://arxiv.org/pdf/2608.12481 https://arxiv.org/html/2608.12481
arXiv:2608.12481v1 Announce Type: new
Abstract: Treating the number of flavors $n$ as a variable in the $O(n)$ model leads to non-perturbative constraints on the spectrum of operators. Using the duality between $O(n)$ and $Sp(-n)$, we extend these relations to negative even values of $n$ and we make them explicit by decomposing operators with general flavor structure into irreducible representations. In perturbation theory, we exploit this structure to reveal novel degeneracies in the scaling dimensions of different operators, which persist for arbitrary $n$. This allows us to derive the two-loop anomalous dimension of any $\phi^k$-type operator from existing results without additional loop calculations. The same mechanism dictates patterns in renormalization group mixing matrices, yielding new non-renormalization results in a specific operator basis. We comment on extending this framework to relations between operator product expansion coefficients and to analogous constraints arising from evanescence under continuation in the number of spacetime dimensions.
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Second-Order Rayleigh-Schr\"odinger Perturbation Theory for the Grasp2018 Package: Valence-Valence Correlations
G. Gaigalas, P. Rynkun, L. Kitovien\.{e}
https://arxiv.org/abs/2609.16888

Second-Order Rayleigh-Schr\"odinger Perturbation Theory for the GRASP2018 Package: Core-Core Correlations
G. Gaigalas, P. Rynkun, L. Kitovien\.{e}
https://arxiv.org/abs/2609.16835

Second-Order Rayleigh-Schr\"odinger Perturbation Theory for the GRASP2018 Package: Core Correlations
G. Gaigalas, P. Rynkun, L. Kitovien\.{e}
https://arxiv.org/abs/2609.16761

Second-order Rayleigh-Schr\"odinger Perturbation Theory for the {\sc Grasp}2018 Package: Core-valence Correlations
G. Gaigalas, P. Rynkun, L. Kitovien\.{e}
https://arxiv.org/abs/2609.15430