Abstract
We study a model whose dynamics is determined by a Maxwell Lagrangian coupled to a complex scalar and a Dirac fermion field, in an AdS3 black hole background. Our study is performed within the context of the Euclidean formalism, in terms of an effective action Seff that results from integrating out the fermion field. In particular, Seff includes an induced parity breaking part which reduces, in the weak coupling limit, to Chern-Simons terms for both the gauge and spin connections, with temperature dependent coefficients. We find numerically the effective action minimum and, applying the AdS/CFT correspondence, we discuss the properties of the dual quantum field theory defined on the boundary. We show that, in contrast with what happens in the absence of fermions, the system does not undergo a phase transition at any finite temperature.
Keywords
Dirac fermion field, Maxwell Lagrangian, black hole background, gauge gravity duality
Subject Categories
Fermions
Disciplines
Physics
Publisher
American Physical Society
Publication Date
2-14-2012
Rights Information
Copyright (2012) American Physical Society.
Rights Holder
American Physical Society
Recommended Citation
Fosco, C. D.; Moreno, E. F.; and Schaposnik, F. A., "Fermions in an AdS₃ black hole background and the gauge-gravity duality" (2012). Physics Faculty Publications. Paper 515.
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Notes
Originally published in Physical Review D v.85 (2012): 046005. DOI: 10.1103/PhysRevD.85.046005.