Complexity for charged thermofield double states
Abstract We study Nielsen’s circuit complexity for a charged thermofield double state (cTFD) of free complex scalar quantum field theory in the presence of background electric field. We show that the ratio of the complexity of formation for cTFD state to the thermo- dynamic entropy is finite and it...
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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)120 |
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| author | Mehregan Doroudiani Ali Naseh Reza Pirmoradian |
| author_facet | Mehregan Doroudiani Ali Naseh Reza Pirmoradian |
| author_sort | Mehregan Doroudiani |
| collection | DOAJ |
| description | Abstract We study Nielsen’s circuit complexity for a charged thermofield double state (cTFD) of free complex scalar quantum field theory in the presence of background electric field. We show that the ratio of the complexity of formation for cTFD state to the thermo- dynamic entropy is finite and it depends just on the temperature and chemical potential. Moreover, this ratio smoothly approaches the value for real scalar theory. We compare our field theory calculations with holographic complexity of charged black holes and confirm that the same cost function which is used for neutral case continues to work in presence of U(1) background field. For t > 0, the complexity of cTFD state evolves in time and contrasts with holographic results, it saturates after a time of the order of inverse temper- ature. This discrepancy can be understood by the fact that holographic QFTs are actually strong interacting theories, not free ones. |
| format | Article |
| id | doaj-art-c81cab8d183e4833924b97e3fa42402e |
| 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-c81cab8d183e4833924b97e3fa42402e2025-01-26T12:11:43ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020115410.1007/JHEP01(2020)120Complexity for charged thermofield double statesMehregan Doroudiani0Ali Naseh1Reza Pirmoradian2School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM)School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM)School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM)Abstract We study Nielsen’s circuit complexity for a charged thermofield double state (cTFD) of free complex scalar quantum field theory in the presence of background electric field. We show that the ratio of the complexity of formation for cTFD state to the thermo- dynamic entropy is finite and it depends just on the temperature and chemical potential. Moreover, this ratio smoothly approaches the value for real scalar theory. We compare our field theory calculations with holographic complexity of charged black holes and confirm that the same cost function which is used for neutral case continues to work in presence of U(1) background field. For t > 0, the complexity of cTFD state evolves in time and contrasts with holographic results, it saturates after a time of the order of inverse temper- ature. This discrepancy can be understood by the fact that holographic QFTs are actually strong interacting theories, not free ones.https://doi.org/10.1007/JHEP01(2020)120AdS-CFT CorrespondenceBlack HolesGauge-gravity correspondenceCon- formal Field Theory |
| spellingShingle | Mehregan Doroudiani Ali Naseh Reza Pirmoradian Complexity for charged thermofield double states Journal of High Energy Physics AdS-CFT Correspondence Black Holes Gauge-gravity correspondence Con- formal Field Theory |
| title | Complexity for charged thermofield double states |
| title_full | Complexity for charged thermofield double states |
| title_fullStr | Complexity for charged thermofield double states |
| title_full_unstemmed | Complexity for charged thermofield double states |
| title_short | Complexity for charged thermofield double states |
| title_sort | complexity for charged thermofield double states |
| topic | AdS-CFT Correspondence Black Holes Gauge-gravity correspondence Con- formal Field Theory |
| url | https://doi.org/10.1007/JHEP01(2020)120 |
| work_keys_str_mv | AT mehregandoroudiani complexityforchargedthermofielddoublestates AT alinaseh complexityforchargedthermofielddoublestates AT rezapirmoradian complexityforchargedthermofielddoublestates |