Entanglement of heavy quark impurities and generalized gravitational entropy
Abstract We calculate the contribution from non-conformal heavy quark sources to the entanglement entropy (EE) of a spherical region in N=4 $$ \mathcal{N}=4 $$ SUSY Yang-Mills theory. We apply the generalized gravitational entropy method to non-conformal probe D-brane embeddings in AdS5×S5, dual to...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP01(2018)052 |
| _version_ | 1811213817236946944 |
|---|---|
| author | S. Prem Kumar Dorian Silvani |
| author_facet | S. Prem Kumar Dorian Silvani |
| author_sort | S. Prem Kumar |
| collection | DOAJ |
| description | Abstract We calculate the contribution from non-conformal heavy quark sources to the entanglement entropy (EE) of a spherical region in N=4 $$ \mathcal{N}=4 $$ SUSY Yang-Mills theory. We apply the generalized gravitational entropy method to non-conformal probe D-brane embeddings in AdS5×S5, dual to pointlike impurities exhibiting flows between quarks in large-rank tensor representations and the fundamental representation. For the D5-brane embedding which describes the screening of fundamental quarks in the UV to the antisymmetric tensor representation in the IR, the EE excess decreases non-monotonically towards its IR asymptotic value, tracking the qualitative behaviour of the one-point function of static fields sourced by the impurity. We also examine two classes of D3-brane embeddings, one which connects a symmetric representation source in the UV to fundamental quarks in the IR, and a second category which yields the symmetric representation source on the Coulomb branch. The EE excess for the former increases from the UV to the IR, whilst decreasing and becoming negative for the latter. In all cases, the probe free energy on hyperbolic space with β = 2π increases monotonically towards the IR, supporting its interpretation as a relative entropy. We identify universal corrections, depending logarithmically on the VEV, for the symmetric representation on the Coulomb branch. |
| first_indexed | 2024-04-12T05:52:35Z |
| format | Article |
| id | doaj.art-390ef0ff3ff142f59af22bd9930a1582 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T05:52:35Z |
| publishDate | 2018-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-390ef0ff3ff142f59af22bd9930a15822022-12-22T03:45:14ZengSpringerOpenJournal of High Energy Physics1029-84792018-01-012018113610.1007/JHEP01(2018)052Entanglement of heavy quark impurities and generalized gravitational entropyS. Prem Kumar0Dorian Silvani1Department of Physics, Swansea UniversityDepartment of Physics, Swansea UniversityAbstract We calculate the contribution from non-conformal heavy quark sources to the entanglement entropy (EE) of a spherical region in N=4 $$ \mathcal{N}=4 $$ SUSY Yang-Mills theory. We apply the generalized gravitational entropy method to non-conformal probe D-brane embeddings in AdS5×S5, dual to pointlike impurities exhibiting flows between quarks in large-rank tensor representations and the fundamental representation. For the D5-brane embedding which describes the screening of fundamental quarks in the UV to the antisymmetric tensor representation in the IR, the EE excess decreases non-monotonically towards its IR asymptotic value, tracking the qualitative behaviour of the one-point function of static fields sourced by the impurity. We also examine two classes of D3-brane embeddings, one which connects a symmetric representation source in the UV to fundamental quarks in the IR, and a second category which yields the symmetric representation source on the Coulomb branch. The EE excess for the former increases from the UV to the IR, whilst decreasing and becoming negative for the latter. In all cases, the probe free energy on hyperbolic space with β = 2π increases monotonically towards the IR, supporting its interpretation as a relative entropy. We identify universal corrections, depending logarithmically on the VEV, for the symmetric representation on the Coulomb branch.http://link.springer.com/article/10.1007/JHEP01(2018)052AdS-CFT CorrespondenceD-branesWilson, ’t Hooft and Polyakov loops |
| spellingShingle | S. Prem Kumar Dorian Silvani Entanglement of heavy quark impurities and generalized gravitational entropy Journal of High Energy Physics AdS-CFT Correspondence D-branes Wilson, ’t Hooft and Polyakov loops |
| title | Entanglement of heavy quark impurities and generalized gravitational entropy |
| title_full | Entanglement of heavy quark impurities and generalized gravitational entropy |
| title_fullStr | Entanglement of heavy quark impurities and generalized gravitational entropy |
| title_full_unstemmed | Entanglement of heavy quark impurities and generalized gravitational entropy |
| title_short | Entanglement of heavy quark impurities and generalized gravitational entropy |
| title_sort | entanglement of heavy quark impurities and generalized gravitational entropy |
| topic | AdS-CFT Correspondence D-branes Wilson, ’t Hooft and Polyakov loops |
| url | http://link.springer.com/article/10.1007/JHEP01(2018)052 |
| work_keys_str_mv | AT spremkumar entanglementofheavyquarkimpuritiesandgeneralizedgravitationalentropy AT doriansilvani entanglementofheavyquarkimpuritiesandgeneralizedgravitationalentropy |