We address the interplay between local and global symmetries in determining the continuum limit of twodimensional lattice scalar theories characterized by SO(Nc) gauge symmetry and non-Abelian O(N-f) global invariance. We argue that, when a quartic interaction is present, the continuum limit of these models corresponds in some cases to the gauged nonlinear ?? model field theory associated with the real Grassmannian manifold SO(N-f)/(SO(N-c) x SO(N-f - N-c)), which is characterized by the invariance under the color-flavor reflection N-c <-> N-f - N-c. Monte Carlo simulations and finite-size scaling analyses, performed for N-f = 7 and several values of N-c, confirm the emergence of the color-flavor reflection symmetry in the scaling limit and support the identification of the continuum limit.
Color-flavor reflection in the continuum limit of two-dimensional lattice gauge theories with scalar fields
Bonati, Claudio;Franchi, Alessio
2022-01-01
Abstract
We address the interplay between local and global symmetries in determining the continuum limit of twodimensional lattice scalar theories characterized by SO(Nc) gauge symmetry and non-Abelian O(N-f) global invariance. We argue that, when a quartic interaction is present, the continuum limit of these models corresponds in some cases to the gauged nonlinear ?? model field theory associated with the real Grassmannian manifold SO(N-f)/(SO(N-c) x SO(N-f - N-c)), which is characterized by the invariance under the color-flavor reflection N-c <-> N-f - N-c. Monte Carlo simulations and finite-size scaling analyses, performed for N-f = 7 and several values of N-c, confirm the emergence of the color-flavor reflection symmetry in the scaling limit and support the identification of the continuum limit.File | Dimensione | Formato | |
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