QCD in magnetic fields: from Hofstadter's butterfly to the phase diagram
arXiv:1410.8028
Abstract
I revisit the problem of a charged particle on a two-dimensional lattice immersed in a constant (electro)magnetic field, and discuss the energy spectrum - Hofstadter's butterfly - from a new, quantum field theoretical perspective. In particular, I point out that there is an intricate interplay between a) the structure of the butterfly at low magnetic flux, b) the absence of asymptotic freedom in QED and c) the enhancement of the quark condensate by a magnetic field at zero temperature. I proceed to discuss the response of the QCD condensate to the magnetic field at nonzero temperatures in four space-time dimensions, present the resulting phase diagram and compare it to low-energy model predictions.
arXiv comment15 pages, 12 figures, plenary talk at the 32nd International Symposium on Lattice Field Theory (23-28 June 2014, Columbia University, New York, NY, USA)
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Cited by in corpus (5)
- Thermodynamics of strong-interaction matter from Lattice QCD
- Critical point in the QCD phase diagram for extremely strong background magnetic fields
- QCD spectroscopy and quark mass renormalisation in external magnetic fields with Wilson fermions
- Axial inverse magnetic catalysis
- Landau Levels in Lattice QCD