Lattice QCD on nonorientable manifolds
| Autor: | Simon Mages, Kalman K. Szabo, Zoltan Fodor, Bálint C. Tóth, Szabolcs Borsanyi, Sandor D. Katz |
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| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
High Energy Physics - Theory
Field (physics) High Energy Physics::Lattice FOS: Physical sciences 01 natural sciences symbols.namesake Theoretical physics High Energy Physics - Lattice Quantum mechanics 0103 physical sciences ddc:530 GAUGE-THEORIES BOUNDARY-CONDITIONS TEMPERATURE Boundary value problem 010306 general physics Mathematics::Symplectic Geometry Topological quantum number Quantum chromodynamics Physics 010308 nuclear & particles physics Continuum (topology) High Energy Physics::Phenomenology High Energy Physics - Lattice (hep-lat) Torus Lattice QCD 530 Physik Mathematics::Geometric Topology Manifold Dirac fermion High Energy Physics - Theory (hep-th) symbols Configuration space |
| Zdroj: | Proceedings of Science LATTICE2016, 338 (2017). 34th International Symposium on Lattice Field Theory, LATTICE2016, Southampton, UK, 2016-07-24-2016-07-30 Physical review / D 95(9), 094512 (2017). doi:10.1103/PhysRevD.95.094512 |
| DOI: | 10.1103/PhysRevD.95.094512 |
| Popis: | A common problem in lattice QCD simulations on the torus is the extremely long autocorrelation time of the topological charge, when one approaches the continuum limit. The reason is the suppressed tunneling between topological sectors. The problem can be circumvented by replacing the torus with a different manifold, so that the connectivity of the configuration space is changed. This can be achieved by using open boundary conditions on the fields, as proposed earlier. It has the side effect of breaking translational invariance strongly. Here we propose to use a non-orientable manifold, and show how to define and simulate lattice QCD on it. We demonstrate in quenched simulations that this leads to a drastic reduction of the autocorrelation time. A feature of the new proposal is, that translational invariance is preserved up to exponentially small corrections. A Dirac-fermion on a non-orientable manifold poses a challenge to numerical simulations: the fermion determinant becomes complex. We propose two approaches to circumvent this problem. Comment: 9 pages, 8 figures; v2: matches accepted version |
| Databáze: | OpenAIRE |
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