Time-reversal breaking in QCD 4 , walls, and dualities in 2 + 1 dimensions

Perimeter Institute

Abstract

We study SU(N ) Quantum Chromodynamics (QCD) in 3+1 dimensions with Nƒ degenerate fundamental quarks with mass m and a θ-parameter. For generic m and θ the theory has a single gapped vacuum. However, as θ is varied through θ = π for large m there is a first order transition. For Nƒ = 1 the first order transition line ends at a point with a massless η' particle (for all N ) and for Nƒ > 1 the first order transition ends at m = 0, where, depending on the value of Nƒ, the IR theory has free Nambu-Goldstone bosons, an interacting conformal field theory, or a free gauge theory. Even when the 4d bulk is smooth, domain walls and interfaces can have interesting phase transitions separating…

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205
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Authors

1

Topics & keywords

Keywords
  • Physics
  • Massless particle
  • Goldstone boson
  • Sigma model
  • Order (exchange)
  • Gauge theory
  • Quantum chromodynamics
  • Mathematical physics
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