Cubrovic, Mihailo (2016). Confinement/deconfinement transition from symmetry breaking in gauge/gravity duality. J. High Energy Phys. (10). NEW YORK: SPRINGER. ISSN 1029-8479

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Abstract

We study the confinement/deconfinement transition in a strongly coupled system triggered by an independent symmetry-breaking quantum phase transition in gauge/gravity duality. The gravity dual is an Einstein-scalar-dilaton system with AdS near-boundary behavior and soft wall interior at zero scalar condensate. We study the cases of neutral and charged condensate separately. In the former case the condensation breaks the discrete Z(2) symmetry while a charged condensate breaks the continuous U(1) symmetry. After the condensation of the order parameter, the non-zero vacuum expectation value of the scalar couples to the dilaton, changing the soft wall geometry into a non-confining and anisotropically scale-invariant infrared metric. In other words, the formation of long-range order is immediately followed by the deconfinement transition and the two critical points coincide. The confined phase has a scale - the confinement scale (energy gap) which vanishes in the deconfined case. Therefore, the breaking of the symmetry of the scalar (Z(2) or U(1)) in turn restores the scaling symmetry in the system and neither phase has a higher overall symmetry than the other. When the scalar is charged the phase transition is continuous which goes against the Ginzburg-Landau theory where such transitions generically only occur discontinuously. This phenomenon has some commonalities with the scenario of deconfined criticality. The mechanism we have found has applications mainly in effective field theories such as quantum magnetic systems. We briefly discuss these applications and the relation to real-world systems.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Cubrovic, MihailoUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-258282
DOI: 10.1007/JHEP10(2016)102
Journal or Publication Title: J. High Energy Phys.
Number: 10
Date: 2016
Publisher: SPRINGER
Place of Publication: NEW YORK
ISSN: 1029-8479
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
PHASE-TRANSITIONS; FERMI LIQUIDS; QUANTUMMultiple languages
Physics, Particles & FieldsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/25828

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