Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-01-27
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 Pages. To appear in Physics Letters B
Scientific paper
10.1016/j.physletb.2009.01.041
Long-range 1/r potentials play a fundamental role in physics. Their ultimate origin is usually traced back to the existence of genuine massless particles as photons or gravitons related to fundamental properties of continuum quantum field theories such as gauge invariance. In this Letter, it is argued that, in principle, an asymptotic, infinitesimally weak 1/r potential might also occur in the cutoff version of a simple, one-component spontaneously broken \Phi^4 theory, after taking into account the peculiar nature of the zero-momentum limit of the connected scalar propagator. Physical interpretation, phenomenological implications and proposals for a new generation of lattice simulations are also discussed.
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