Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.19186 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913673175367680 |
|---|---|
| author | Frech, Fabian Stokes, Finn Szabo, Kalman |
| author_facet | Frech, Fabian Stokes, Finn Szabo, Kalman |
| contents | For long distances in the euclidean time the vector-vector correlator ($ρ$) has an exponentially decreasing signal-to-noise ratio. However, the vector correlator not only consists of the vector meson but also receives contributions from a two-pion system with the same quantum numbers. We measure all two-pion propagators with an energy lower than the mass of the resting vector meson and employ a generalized eigenvalue problem (GEVP) to resolve the different contributing energy states. Using those we can reconstruct the propagator with a much smaller noise at large euclidean time distances. In this work we present an efficient way to measure two-pion propagators and our results on reconstruction of the vector meson propagator with staggered fermions in a $(6^3\times 8.5)\,\textrm{fm}^4$ box. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_19186 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reconstruction of the vector meson propagator using a generalized eigenvalue problem Frech, Fabian Stokes, Finn Szabo, Kalman High Energy Physics - Lattice For long distances in the euclidean time the vector-vector correlator ($ρ$) has an exponentially decreasing signal-to-noise ratio. However, the vector correlator not only consists of the vector meson but also receives contributions from a two-pion system with the same quantum numbers. We measure all two-pion propagators with an energy lower than the mass of the resting vector meson and employ a generalized eigenvalue problem (GEVP) to resolve the different contributing energy states. Using those we can reconstruct the propagator with a much smaller noise at large euclidean time distances. In this work we present an efficient way to measure two-pion propagators and our results on reconstruction of the vector meson propagator with staggered fermions in a $(6^3\times 8.5)\,\textrm{fm}^4$ box. |
| title | Reconstruction of the vector meson propagator using a generalized eigenvalue problem |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2501.19186 |