Ground state modulations in the CP N−1 model

ECU Author/Contributor (non-ECU co-authors, if there are any, appear on document)

Antonino,Fucci,Guglielmo,Nitta,Muneto,Takada,Satos Flachi (Creator)

Institution

East Carolina University (ECU )

Web Site: http://www.ecu.edu/lib/

Abstract: In this work we examine a system consisting of a confined one-dimensional arrangement of atoms thatwe describe by using the 2-dimensional CPN−1 model, restricted to an interval and at finite temperature.We develop a method to obtain the bulk and boundary parts of the one-loop effective action as a function of the effective mass of the fluctuations. The formalism has the advantage of allowing for a systematicanalysis of a large class of boundary conditions and to model the (adiabatic) response of the ground state to changes in the boundary conditions. In the case of periodic boundary conditions, we find thatinhomogeneous phases are disfavored for intervals of large size. Away from periodic boundary conditions,our numerical results show that the ground state has a generic crystal-like structure that can be modulate by variations of the boundary conditions. The results presented here could be relevant for experimentalimplementations of nonlinear sigma models and could be tested by lattice numerical simulations.

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Language: English

Date: 2019

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