New linearization and reweighting for simulations of string sigma-model on the lattice
Abstract We study the discretized worldsheet of Type IIB strings in the Gubser-Klebanov-Polyakov background in a new setup, which eliminates a complex phase previously detected in the fermionic determinant. A sign ambiguity remains, which a study of the fermionic spectrum shows to be related to Yuka...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)174 |
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| author | L. Bianchi V. Forini B. Leder P. Töpfer E. Vescovi |
| author_facet | L. Bianchi V. Forini B. Leder P. Töpfer E. Vescovi |
| author_sort | L. Bianchi |
| collection | DOAJ |
| description | Abstract We study the discretized worldsheet of Type IIB strings in the Gubser-Klebanov-Polyakov background in a new setup, which eliminates a complex phase previously detected in the fermionic determinant. A sign ambiguity remains, which a study of the fermionic spectrum shows to be related to Yukawa-like terms, including those present in the original Lagrangian before the linearization standard in a lattice QFT approach. Monte Carlo simulations are performed in a large region of the parameter space, where the sign problem starts becoming severe and instabilities appear due to the zero eigenvalues of the fermionic operator. To face these problems, simulations are conducted using the absolute value of a fermionic Pfaffian obtained introducing a small twisted-mass term, acting as an infrared regulator, into the action. The sign of the Pfaffian and the low modes of the quadratic fermionic operator are then taken into account by a reweighting procedure of which we discuss the impact on the measurement of the observables. In this setup we study bosonic and fermionic correlators and observe a divergence in the latter, which we argue — also via a one-loop analysis in lattice perturbation theory — to originate from the U(1)-breaking of our Wilson-like discretization for the fermionic sector. |
| format | Article |
| id | doaj-art-fd06df96299947ae88c01c2f64833d8e |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-fd06df96299947ae88c01c2f64833d8e2025-02-09T12:06:19ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020112810.1007/JHEP01(2020)174New linearization and reweighting for simulations of string sigma-model on the latticeL. Bianchi0V. Forini1B. Leder2P. Töpfer3E. Vescovi4Centre for Research in String Theory, Queen Mary University of LondonDepartment of Mathematics, City, University of LondonInstitut für Physik, Humboldt-Universität zu Berlin and IRIS AdlershofInstitut für Physik, Humboldt-Universität zu Berlin and IRIS AdlershofThe Blackett Laboratory, Imperial CollegeAbstract We study the discretized worldsheet of Type IIB strings in the Gubser-Klebanov-Polyakov background in a new setup, which eliminates a complex phase previously detected in the fermionic determinant. A sign ambiguity remains, which a study of the fermionic spectrum shows to be related to Yukawa-like terms, including those present in the original Lagrangian before the linearization standard in a lattice QFT approach. Monte Carlo simulations are performed in a large region of the parameter space, where the sign problem starts becoming severe and instabilities appear due to the zero eigenvalues of the fermionic operator. To face these problems, simulations are conducted using the absolute value of a fermionic Pfaffian obtained introducing a small twisted-mass term, acting as an infrared regulator, into the action. The sign of the Pfaffian and the low modes of the quadratic fermionic operator are then taken into account by a reweighting procedure of which we discuss the impact on the measurement of the observables. In this setup we study bosonic and fermionic correlators and observe a divergence in the latter, which we argue — also via a one-loop analysis in lattice perturbation theory — to originate from the U(1)-breaking of our Wilson-like discretization for the fermionic sector.https://doi.org/10.1007/JHEP01(2020)174AdS-CFT CorrespondenceIntegrable Field TheoriesLattice Quantum Field TheoryWilson, ’t Hooft and Polyakov loops |
| spellingShingle | L. Bianchi V. Forini B. Leder P. Töpfer E. Vescovi New linearization and reweighting for simulations of string sigma-model on the lattice Journal of High Energy Physics AdS-CFT Correspondence Integrable Field Theories Lattice Quantum Field Theory Wilson, ’t Hooft and Polyakov loops |
| title | New linearization and reweighting for simulations of string sigma-model on the lattice |
| title_full | New linearization and reweighting for simulations of string sigma-model on the lattice |
| title_fullStr | New linearization and reweighting for simulations of string sigma-model on the lattice |
| title_full_unstemmed | New linearization and reweighting for simulations of string sigma-model on the lattice |
| title_short | New linearization and reweighting for simulations of string sigma-model on the lattice |
| title_sort | new linearization and reweighting for simulations of string sigma model on the lattice |
| topic | AdS-CFT Correspondence Integrable Field Theories Lattice Quantum Field Theory Wilson, ’t Hooft and Polyakov loops |
| url | https://doi.org/10.1007/JHEP01(2020)174 |
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