Universal scaling in fast quenches near Lifshitz-like fixed points
We study critical dynamics through time evolution of quantum field theories driven to a Lifshitz-like fixed point, with z>1, under relevant deformations. The deformations we consider are fast smooth quantum quenches, namely when the quench scale δt−z is large compared to the deformation scale. We...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2019-10-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269319306288 |
| _version_ | 1818303621764218880 |
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| author | M. Reza Mohammadi Mozaffar Ali Mollabashi |
| author_facet | M. Reza Mohammadi Mozaffar Ali Mollabashi |
| author_sort | M. Reza Mohammadi Mozaffar |
| collection | DOAJ |
| description | We study critical dynamics through time evolution of quantum field theories driven to a Lifshitz-like fixed point, with z>1, under relevant deformations. The deformations we consider are fast smooth quantum quenches, namely when the quench scale δt−z is large compared to the deformation scale. We show that in holographic models the response of the system merely depends on the scaling dimension of the quenched operator as δλ⋅δtd−2Δ+z−1, where δλ is the deformation amplitude. This scaling behavior is enhanced logarithmically in certain cases. We also study free Lifshitz scalar theory deformed by mass operator and show that the universal scaling of the response completely matches with holographic analysis. We argue that this scaling behavior is universal for any relevant deformation around Lifshitz-like UV fixed points. |
| first_indexed | 2024-12-13T05:57:43Z |
| format | Article |
| id | doaj.art-f4de5d948ac14fd3b67b20f5d6ef8068 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-13T05:57:43Z |
| publishDate | 2019-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-f4de5d948ac14fd3b67b20f5d6ef80682022-12-21T23:57:25ZengElsevierPhysics Letters B0370-26932019-10-01797Universal scaling in fast quenches near Lifshitz-like fixed pointsM. Reza Mohammadi Mozaffar0Ali Mollabashi1Department of Physics, University of Guilan, P.O. Box 41335-1914, Rasht, Iran; School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran; Corresponding authors.Max-Planck-Institut for Physics, Werner-Heisenberg-Institut, 80805 Munich, Germany; Corresponding authors.We study critical dynamics through time evolution of quantum field theories driven to a Lifshitz-like fixed point, with z>1, under relevant deformations. The deformations we consider are fast smooth quantum quenches, namely when the quench scale δt−z is large compared to the deformation scale. We show that in holographic models the response of the system merely depends on the scaling dimension of the quenched operator as δλ⋅δtd−2Δ+z−1, where δλ is the deformation amplitude. This scaling behavior is enhanced logarithmically in certain cases. We also study free Lifshitz scalar theory deformed by mass operator and show that the universal scaling of the response completely matches with holographic analysis. We argue that this scaling behavior is universal for any relevant deformation around Lifshitz-like UV fixed points.http://www.sciencedirect.com/science/article/pii/S0370269319306288 |
| spellingShingle | M. Reza Mohammadi Mozaffar Ali Mollabashi Universal scaling in fast quenches near Lifshitz-like fixed points Physics Letters B |
| title | Universal scaling in fast quenches near Lifshitz-like fixed points |
| title_full | Universal scaling in fast quenches near Lifshitz-like fixed points |
| title_fullStr | Universal scaling in fast quenches near Lifshitz-like fixed points |
| title_full_unstemmed | Universal scaling in fast quenches near Lifshitz-like fixed points |
| title_short | Universal scaling in fast quenches near Lifshitz-like fixed points |
| title_sort | universal scaling in fast quenches near lifshitz like fixed points |
| url | http://www.sciencedirect.com/science/article/pii/S0370269319306288 |
| work_keys_str_mv | AT mrezamohammadimozaffar universalscalinginfastquenchesnearlifshitzlikefixedpoints AT alimollabashi universalscalinginfastquenchesnearlifshitzlikefixedpoints |