格子フェルミオンにおけるカシミール効果
| Autor: | Kei Suzuki, Tsutomu Ishikawa, Katsumasa Nakayama |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics fermion: Wilson Wilson [fermion] High Energy Physics::Lattice One-dimensional space FOS: Physical sciences 01 natural sciences High Energy Physics - Lattice Casimir [energy] effect: Casimir Lattice (order) Mesoscale and Nanoscale Physics (cond-mat.mes-hall) 0103 physical sciences ddc:530 domain wall [fermion] Boundary value problem 010306 general physics dimension: 2 Mathematical physics lattice Physics Condensed Matter::Quantum Gases energy: Casimir Condensed Matter - Mesoscale and Nanoscale Physics Spacetime condensed matter 010308 nuclear & particles physics High Energy Physics - Lattice (hep-lat) Fermion Casimir [effect] boundary condition lcsh:QC1-999 Casimir effect Massless particle High Energy Physics - Theory (hep-th) 2 [dimension] fermion: domain wall Free lattice lcsh:Physics |
| Zdroj: | Physics Letters B, Vol 809, Iss, Pp 135713-(2020) Physics Letters Physics letters / B 809, 135713 (2020). doi:10.1016/j.physletb.2020.135713 |
| ISSN: | 0370-2693 |
| DOI: | 10.1016/j.physletb.2020.135713 |
| Popis: | Physics letters / B 809, 135713 (2020). doi:10.1016/j.physletb.2020.135713 We propose a definition of the Casimir energy for free lattice fermions. From this definition, we study the Casimir effects for the massless or massive naive fermion, Wilson fermion, and (Möbius) domain-wall fermion in 1+1 dimensional spacetime with the spatial periodic or antiperiodic boundary condition. For the naive fermion, we find an oscillatory behavior of the Casimir energy, which is caused by the difference between odd and even lattice sizes. For the Wilson fermion, in the small lattice size of N≥3 , the Casimir energy agrees very well with that of the continuum theory, which suggests that we can control the discretization artifacts for the Casimir effect measured in lattice simulations. We also investigate the dependence on the parameters tunable in Möbius domain-wall fermions. Our findings will be observed both in condensed matter systems and in lattice simulations with a small size. Published by North-Holland Publ., Amsterdam |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect