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- W2016048596 abstract "We investigate the topological charge in $1+1$ dimensional ${ensuremath{phi}}^{4}$ theory on a lattice with antiperiodic boundary condition (APBC) in the spatial direction. We propose a simple order parameter for the lattice theory with APBC and we demonstrate its effectiveness. Our study suggests that kink condensation is a possible mechanism for the order-disorder phase transition in the $1+1$ dimensional ${ensuremath{phi}}^{4}$ theory. With renormalizations performed on the lattice with periodic boundary condition (PBC), the topological charge in the renormalized theory is given as the ratio of the order parameters in the lattices with APBC and PBC. We present a comparison of topological charges in the bare and the renormalized theory and demonstrate invariance of the charge of the renormalized theory in the broken symmetry phase." @default.
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- W2016048596 date "2005-11-09" @default.
- W2016048596 modified "2023-09-23" @default.
- W2016048596 title "Topological charge in1+1dimensional latticeϕ4theory" @default.
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- W2016048596 doi "https://doi.org/10.1103/physrevd.72.094504" @default.
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