Heavy Quarks, Subtle Shifts: Mapping the Edge of Nuclear Matter
![The study maps the chiral phase diagram of Quantum Chromodynamics (QCD) using a novel framework-detailed by solid lines-and validates its findings against established benchmarks from miniDSE, functional Renormalization Group (fRG), and Dyson-Schwinger Equation (DSE) methods-represented by colored markers-for both [latex]2+1[/latex] and [latex]2+1+1[/latex] flavor configurations, including the incorporation of a charm loop to refine accuracy.](https://arxiv.org/html/2603.04728v1/2603.04728v1/x5.png)
New research reveals that incorporating charm quarks into calculations of quantum chromodynamics subtly alters the predicted location of the critical endpoint in the chiral phase diagram.
![The probability density at the point of bounce, [latex]|\psi(T_b,v)|^2[/latex], exhibits distinct variations across different values of η, while maintaining a minimal value of σ, and occurs at a significantly increased volume-approximately 2000-compared to prior configurations.](https://arxiv.org/html/2603.04995v1/2603.04995v1/BounceLargeVb_rho3.png)

![Homomorphic encryption of sparse matrix-vector multiplication (SpMV) in compressed sparse row (CSR) format introduces substantial computational overhead, as each element-wise product, while achievable, necessitates a costly homomorphic rotation and multiplication for subsequent aggregation-a limitation stemming from the inability to efficiently combine encrypted partial results without incurring these operations on every addition required to construct the final encrypted vector sum [latex] \sum_{j=1}^{n} A_{ij} x_j [/latex].](https://arxiv.org/html/2603.04742v1/2603.04742v1/x1.png)




/|\text{Baseline}-\text{Human}|[/latex]- achieved by large language models on the ASAP-SAS dataset; a transformer ensemble (point A, Ormerod, 2022) and a fine-tuned GPT ensemble (point B, Ormerod & Kwako, 2024) progressively surpass earlier baselines-with a subsequent GPT-4 implementation (point C, Jiang & Bosch, 2024) projected to reach a normalized score of -1.52-indicating a substantial, ongoing refinement in automated assessment capabilities.](https://arxiv.org/html/2603.04820v1/2603.04820v1/x1.png)