Flavoured Large N Gauge Theory on a Compact Space with an External Magnetic Field
arXiv:1211.1164 · doi:10.1007/JHEP01(2013)130
Abstract
The phase structure of flavoured N=2 SYM on a three sphere in an external magnetic field is studied. The pairing effect of the magnetic field competes with the dissociating effect of the Casimir free energy, leading to an interesting phase structure of confined and deconfined phases separated by a critical curve of a first order quantum phase transition. At vanishing magnetic field the phase transition is of a third order. For sufficiently strong magnetic field, the only stable phase is the confined phase and magnetic catalysis of chiral symmetry breaking is realized. The meson spectra of the theory exhibit Zeeman splitting and level crossing and feature a finite jump at the phase transition between the confined and deconfined phases. At strong magnetic field the ground state has a massless mode corresponding to the Goldstone boson associated with the spontaneously broken U(1) R-symmetry analogous to the eta' meson in QCD.
1+28 pages, 16 figures, v3: minor corrections, a problem with the original ansatz addressed, some typos corrected, references added
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Cited by in corpus (9)
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- A Holographic Quantum Hall Ferromagnet
- A Novel (2+1)-Dimensional Model of Chiral Symmetry Breaking
- Probe Branes Thermalization in External Electric and Magnetic Fields
- Holographic D3-probe-D5 Model of a Double Layer Dirac Semimetal
- A Quantum Critical Point from Flavours on a Compact Space
- Thermal Fluctuation and Meson Melting: Holographic Approach
- Flavours in global Klebanov-Witten background
- Signals of a new phase in N=2 gauge theory with a magnetic field on the three-sphere