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- W2579774077 abstract "In this work we study the effects of boundary conditions and gradient flow in $1+1$-dimensional lattice ${ensuremath{phi}}^{4}$ theory. Simulations are performed with periodic (PBC) and open (OPEN) boundary conditions in the temporal direction and the lattice fields are then smoothed by applying gradient flow. Our results for observables---such as $⟨|ensuremath{phi}|⟩$ and the susceptibility---indicate that at a given volume the phase transition point is shifted towards a lower value of the lattice coupling ${ensuremath{lambda}}_{0}$ for a fixed ${m}_{0}^{2}$ in the case of OPEN compared to PBC, and the shift decreases as the volume increases. We employ the finite-size scaling (FSS) analysis to obtain the true critical behavior, mainly to emphasize the necessity of a FSS formalism incorporating the surface effect in the case of the open boundary. The above features are found to be illuminated more clearly by the application of gradient flow. Finally, we compare and contrast the extraction of the boson mass from the two-point function (PBC) and the one-point function (OPEN) as the coupling (starting from moderate values) approaches the critical value corresponding to the vanishing of the mass gap. In the critical region, finite-volume effects become dominant in the latter. The surface effect seems to result in a less sharp phase transition for OPEN compared to PBC for all observables studied here." @default.
- W2579774077 created "2017-01-26" @default.
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- W2579774077 date "2017-04-13" @default.
- W2579774077 modified "2023-09-24" @default.
- W2579774077 title "Effects of boundary conditions and gradient flow in ( 1+1 )-dimensional lattice ϕ4 theory" @default.
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- W2579774077 doi "https://doi.org/10.1103/physrevd.95.074506" @default.
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