Time-reversal breaking in QCD4, walls, and dualities in 2 + 1 dimensions

Gaiotto, Davide; Komargodski, Zohar; Seiberg, Nathan

doi:10.1007/jhep01(2018)110

Title: Time-reversal breaking in QCD₄, walls, and dualities in 2 + 1 dimensions

Journal Article · Tue Jan 23 00:00:00 EST 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep01(2018)110· OSTI ID:1502470

Gaiotto, Davide ^[1]; Komargodski, Zohar ^[2]; Seiberg, Nathan ^[3]

Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
Weizmann Inst. of Science, Rehovot (Israel); Stony Brook Univ., NY (United States). Simons Center for Geometry and Physics
Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences

We study SU(N ) Quantum Chromodynamics (QCD) in 3+1 dimensions with N_ƒ 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 N_ƒ = 1 the first order transition line ends at a point with a massless η' particle (for all N ) and for N_ƒ > 1 the first order transition ends at m = 0, where, depending on the value of N_ƒ, 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 different 3d phases. These turn out to be the phases of the recently studied 3d Chern-Simons matter theories, thus relating the dynamics of QCD₄ and QCD₃, and, in particular, making contact with the recently discussed dualities in 2+1 dimensions. For example, when the massless 4d theory has an SU(N_ƒ) sigma model, the domain wall theory at low (nonzero) mass supports a 3d massless CP^N_ƒ-1 nonlinear σ-model with a Wess-Zumino term, in agreement with the conjectured dynamics in 2+1 dimensions.

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Research Organization:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009988

OSTI ID:: 1502470

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 1; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 129 works

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Title: Time-reversal breaking in QCD4, walls, and dualities in 2 + 1 dimensions

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