Scalar Field Theory with a Non-Standard Potential

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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24 pages, 9 figures; version published in Phys. Rev. D 77

Scientific paper

10.1103/PhysRevD.77.065015

We study the phase structure of a 4D complex scalar field theory with a potential V(Phi) = | Lambda^3 / Phi - Lambda Phi |^2 at zero and at finite temperature. The model is analyzed by mean field and Monte Carlo methods. At zero temperature the theory falls in the universality class of the 4D Ising model when varying Lambda. The situation is less clear-cut for variations w.r.t. Lambda at large temperatures and variations w.r.t. temperature at a given value of Lambda. We observe temperature independence of the mass of the first excitation.

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