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Temporal Correlators in the Continuous Time Formulation of Strong\n Coupling Lattice QCD

2018/11/05 by Marc Klegrewe, Klegrewe, Marc, Wolfgang Unger +1
Mathematics · Physics and Astronomy · #Algorithm #Cold Atom Physics and Bose-Einstein Condensates #Computation #Correlation function (quantum field theory) #Discretization #Euclidean geometry #FOS: Physical sciences #Gauge theory #Geometry #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice gauge theory #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Monte Carlo method #Nuclear Theory (nucl-th) #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Statistical physics #Statistics #hep-lat #nucl-th

paper · pdf · doi:10.48550/arxiv.1811.01614

7 pages, 6 figures, proceedings to talk presented at 36th annual International Symposium on Lattice Field Theory, 22-28 July 2018, East Lansing, MI, USA

arxiv created 2018/11/05 · openalex publication_date 2018/11/05 · arxiv updated 2018/11/06 · openalex created_date 2022/08/02 · openalex updated_date 2026/08/06

Abstract

We present results for lattice QCD in the limit of infinite gauge coupling on\na discrete spatial but continuous Euclidean time lattice. A worm type Monte\nCarlo algorithm is applied in order to sample two-point functions which gives\naccess to the measurement of mesonic temporal correlators. The continuous time\nlimit, based on sending N_\τ\→ \∞ and the bare anistotropy to\ninfinity while fixing the temperature in a non-perturbative setup, has various\nadvantages: the algorithm is sign problem free, fast, and accumulates high\nstatistics for correlation functions. Even though the measurement of temporal\ncorrelators requires the introduction of a binning in time direction, this\ndiscretization can be chosen to be by orders finer compared to discrete\ncomputations. For different spatial volumes, temporal correlators are measured\nat zero spatial momentum for a variety of mesonic operators. They are fitted to\nextract the pole masses and corresponding particles as a function of the\ntemperature. We conclude discussing the possibility to extract transport\ncoefficients from these correlators.\n

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