TY - JOUR

T1 - Higgs and Coulomb/confining phases in "twisted-mass" deformed CP(N-1) model

AU - Gorsky, A.

AU - Shifman, M.

AU - Yung, A.

PY - 2006

Y1 - 2006

N2 - We consider nonsupersymmetric 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 ZN symmetry at the Lagrangian level. In the large mass limit the model is weakly coupled. Its dynamics is described by the Higgs phase, with ZN spontaneously broken. At small masses it is in the strong coupling Coulomb/confining phase. The ZN 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 ZN symmetry in these two respective phases. The vacuum energies for these phases are determined too.

AB - We consider nonsupersymmetric 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 ZN symmetry at the Lagrangian level. In the large mass limit the model is weakly coupled. Its dynamics is described by the Higgs phase, with ZN spontaneously broken. At small masses it is in the strong coupling Coulomb/confining phase. The ZN 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 ZN symmetry in these two respective phases. The vacuum energies for these phases are determined too.

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U2 - 10.1103/PhysRevD.73.065011

DO - 10.1103/PhysRevD.73.065011

M3 - Article

AN - SCOPUS:33644865705

SN - 1550-7998

VL - 73

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 6

M1 - 065011

ER -