Dual Formulation and Phase Diagram of Lattice QCD in the Strong Coupling Regime
We present the computation of invariants that arise in the strong coupling expansion of lattice QCD. These invariants are needed for Monte Carlo simulations of Lattice QCD with staggered fermions in a dual, color singlet representation. This formulation is in particular useful to tame the finite den...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2018-01-01
|
| Series: | EPJ Web of Conferences |
| Online Access: | https://doi.org/10.1051/epjconf/201817507047 |
| _version_ | 1819090028133875712 |
|---|---|
| author | Gagliardi Giuseppe Kim Jangho Unger Wolfgang |
| author_facet | Gagliardi Giuseppe Kim Jangho Unger Wolfgang |
| author_sort | Gagliardi Giuseppe |
| collection | DOAJ |
| description | We present the computation of invariants that arise in the strong coupling expansion of lattice QCD. These invariants are needed for Monte Carlo simulations of Lattice QCD with staggered fermions in a dual, color singlet representation. This formulation is in particular useful to tame the finite density sign problem. The gauge integrals in this limiting case β → 0 are well known, but the gauge integrals needed to study the gauge corrections are more involved. We discuss a method to evaluate such integrals. The phase boundary of lattice QCD for staggered fermions in the μB – T plane has been established in the strong coupling limit. We present numerical simulations away from the strong coupling limit, taking into account the higher order gauge corrections via plaquette occupation numbers. This allows to study the nuclear and chiral transition as a function of β. |
| first_indexed | 2024-12-21T22:17:19Z |
| format | Article |
| id | doaj.art-62c8bfddb80e48059b4da8bef3a36e98 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-21T22:17:19Z |
| publishDate | 2018-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-62c8bfddb80e48059b4da8bef3a36e982022-12-21T18:48:25ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011750704710.1051/epjconf/201817507047epjconf_lattice2018_07047Dual Formulation and Phase Diagram of Lattice QCD in the Strong Coupling RegimeGagliardi GiuseppeKim JanghoUnger WolfgangWe present the computation of invariants that arise in the strong coupling expansion of lattice QCD. These invariants are needed for Monte Carlo simulations of Lattice QCD with staggered fermions in a dual, color singlet representation. This formulation is in particular useful to tame the finite density sign problem. The gauge integrals in this limiting case β → 0 are well known, but the gauge integrals needed to study the gauge corrections are more involved. We discuss a method to evaluate such integrals. The phase boundary of lattice QCD for staggered fermions in the μB – T plane has been established in the strong coupling limit. We present numerical simulations away from the strong coupling limit, taking into account the higher order gauge corrections via plaquette occupation numbers. This allows to study the nuclear and chiral transition as a function of β.https://doi.org/10.1051/epjconf/201817507047 |
| spellingShingle | Gagliardi Giuseppe Kim Jangho Unger Wolfgang Dual Formulation and Phase Diagram of Lattice QCD in the Strong Coupling Regime EPJ Web of Conferences |
| title | Dual Formulation and Phase Diagram of Lattice QCD in the Strong Coupling Regime |
| title_full | Dual Formulation and Phase Diagram of Lattice QCD in the Strong Coupling Regime |
| title_fullStr | Dual Formulation and Phase Diagram of Lattice QCD in the Strong Coupling Regime |
| title_full_unstemmed | Dual Formulation and Phase Diagram of Lattice QCD in the Strong Coupling Regime |
| title_short | Dual Formulation and Phase Diagram of Lattice QCD in the Strong Coupling Regime |
| title_sort | dual formulation and phase diagram of lattice qcd in the strong coupling regime |
| url | https://doi.org/10.1051/epjconf/201817507047 |
| work_keys_str_mv | AT gagliardigiuseppe dualformulationandphasediagramoflatticeqcdinthestrongcouplingregime AT kimjangho dualformulationandphasediagramoflatticeqcdinthestrongcouplingregime AT ungerwolfgang dualformulationandphasediagramoflatticeqcdinthestrongcouplingregime |