Particle level screening of scalar forces in 1+1 dimensions

Abstract

We investigate how non-linear scalar field theories respond to point sources. Taking the symmetron as a specific example of such a theory, we solve the non-linear equation of motion in one spatial dimension for (i) an isolated point source and (ii) two identical point sources with arbitrary separation. We find that the mass of a single point source can be screened by the symmetron field, provided that its mass is above a critical value. We find that two point sources behave as independent, isolated sources when the separation between them is large, but, when their separation is smaller than the symmetron's Compton wavelength, they behave much like a single point source with the same total mass. Finally, we explore closely related behavior in a toy Higgs-Yukawa model, and find indications that the maximum fermion mass that can be generated consistently via a Yukawa coupling to the Higgs in 1+1 dimensions is roughly the mass of the Higgs itself, with potentially intriguing implications for the hierarchy problem.

arXiv comment13 pages, 4 figures

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Cited by in corpus (7)

• Experiment to detect dark energy forces using atom interferometry
• Testing Screened Modified Gravity
• The Classical Symmetron Force in Casimir Experiments
• Properties of scalar wave emission in a scalar-tensor theory with kinetic screening
• Fifth-Force Screening around Extremely Compact Sources
• Black Holes from Fermi Ball Collapse
• Quantum corrections to symmetron fifth-force profiles