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Spinning flavor branes and fermion pairing instabilities

Prem Kumar Orcid Logo

Physical Review D, Volume: 84, Issue: 2

Swansea University Author: Prem Kumar Orcid Logo

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DOI (Published version): 10.1103/PhysRevD.84.026003

Abstract

We consider probe Dp-branes, p = 3, 5, 7, in global AdS5 × S5, rotating along an internal direction in the S5. These are dual to strongly interacting N = 4 SYM on S3 with massless fundamental flavours, in the presence of an R-symmetry chemical potential for flavour fermions. For massless, “AdS-filli...

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Published in: Physical Review D
Published: 2011
URI: https://cronfa.swan.ac.uk/Record/cronfa7465
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spelling 2020-07-16T14:33:07.2719015 v2 7465 2012-02-23 Spinning flavor branes and fermion pairing instabilities 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2012-02-23 SPH We consider probe Dp-branes, p = 3, 5, 7, in global AdS5 × S5, rotating along an internal direction in the S5. These are dual to strongly interacting N = 4 SYM on S3 with massless fundamental flavours, in the presence of an R-symmetry chemical potential for flavour fermions. For massless, “AdS-filling” Dp-brane embed- dings at zero temperature, we find an infinite set of threshold values of the chemical potential at which instabilities are triggered. The onset of instability is always pre- ceded by metastability of the zero density state. From the onset values of the chemical potential, we infer that unstable directions favour a homogeneous condensate of a bilinear made from fermion harmonics, or Cooper pairing. We confirm this picture both numerically and analytically. The linearized analysis showing the appearance of instabilities involves a charged scalar in global AdS space coupled to a (large) constant background gauge potential. The resulting frequency space correlator of the fermion bilinear at strong coupling displays poles in the upper half plane. In contrast, the correlator at zero coupling exhibits Pauli blocking due to occupation of states below the Fermi level, but no instabilities. The end-point of the strong coupling instability is not visible in our setup. Journal Article Physical Review D 84 2 31 12 2011 2011-12-31 10.1103/PhysRevD.84.026003 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-16T14:33:07.2719015 2012-02-23T17:01:56.0000000 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Prem Kumar 0000-0003-0867-4213 1
title Spinning flavor branes and fermion pairing instabilities
spellingShingle Spinning flavor branes and fermion pairing instabilities
Prem Kumar
title_short Spinning flavor branes and fermion pairing instabilities
title_full Spinning flavor branes and fermion pairing instabilities
title_fullStr Spinning flavor branes and fermion pairing instabilities
title_full_unstemmed Spinning flavor branes and fermion pairing instabilities
title_sort Spinning flavor branes and fermion pairing instabilities
author_id_str_mv 087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Prem Kumar
author2 Prem Kumar
format Journal article
container_title Physical Review D
container_volume 84
container_issue 2
publishDate 2011
institution Swansea University
doi_str_mv 10.1103/PhysRevD.84.026003
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 0
active_str 0
description We consider probe Dp-branes, p = 3, 5, 7, in global AdS5 × S5, rotating along an internal direction in the S5. These are dual to strongly interacting N = 4 SYM on S3 with massless fundamental flavours, in the presence of an R-symmetry chemical potential for flavour fermions. For massless, “AdS-filling” Dp-brane embed- dings at zero temperature, we find an infinite set of threshold values of the chemical potential at which instabilities are triggered. The onset of instability is always pre- ceded by metastability of the zero density state. From the onset values of the chemical potential, we infer that unstable directions favour a homogeneous condensate of a bilinear made from fermion harmonics, or Cooper pairing. We confirm this picture both numerically and analytically. The linearized analysis showing the appearance of instabilities involves a charged scalar in global AdS space coupled to a (large) constant background gauge potential. The resulting frequency space correlator of the fermion bilinear at strong coupling displays poles in the upper half plane. In contrast, the correlator at zero coupling exhibits Pauli blocking due to occupation of states below the Fermi level, but no instabilities. The end-point of the strong coupling instability is not visible in our setup.
published_date 2011-12-31T03:09:17Z
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score 11.01753

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