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The Higgs and Coulomb/Confining Phases in "Twisted-Mass" Deformed CP(N-1) Model

A. Gorsky·M. Shifman·A. Yung
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Abstract

We consider non-supersymmetric two-dimensional CP(N-1) model deformed by a term presenting the bosonic part of the twisted mass deformation of N=2 supersymmetric version of the model. Our deformation has a special form preserving a Z_N symmetry at the Lagrangian level. In the large mass limit the model is weakly coupled. Its dynamics is described by the Higgs phase, with Z_N spontaneously broken. At small masses it is in the strong coupling Coulomb/confining phase. The Z_N symmetry is restored. Two phases are separated by a phase transition. We find the phase transition point in the large-N limit. It lies at strong coupling. As was expected, the phase transition is related to broken versus unbroken Z_N symmetry in these two respective phases. The vacuum energies for these phases are determined too.

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A. Gorsky, M. Shifman, A. Yung. 2006-01-09. The Higgs and Coulomb/Confining Phases in "Twisted-Mass" Deformed CP(N-1) Model. https://doi.org/10.1103/physrevd.73.065011

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