Holography and the Coleman-Mermin-Wagner theorem
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Author(s)
Iqbal, Nabil
Anninos, Dionysios
Hartnoll, Sean A.
Date Issued
September 2010
Journal
Physical Review D
Publisher
American Physical Society
Citation
Anninos, Dionysios, Sean A. Hartnoll, and Nabil Iqbal. “Holography and the Coleman-Mermin-Wagner theorem.” Physical Review D 82.6 (2010): 066008. © 2010 The American Physical Society.
Version
Final published version
Abstract
In 2+1 dimensions at finite temperature, spontaneous symmetry breaking of global symmetries is precluded by large thermal fluctuations of the order parameter. The holographic correspondence implies that analogous effects must also occur in 3+1 dimensional theories with gauged symmetries in certain curved spacetimes with horizon. By performing a one loop computation in the background of a holographic superconductor, we show that bulk quantum fluctuations wash out the classical order parameter at sufficiently large distance scales. The low temperature phase is seen to exhibit algebraic long-range order. Beyond the specific example we study, holography suggests that IR singular quantum fluctuations of the fields and geometry will play an interesting role for many 3+1 dimensional asymptotically anti–de Sitter spacetimes with planar horizon.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.82.066008
