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We analyze 2-point functions in the relativistic Bose gas on the lattice,i.e., a charged scalar phi-4 field with chemical potential mu. Using ageneralized worm algorithm we perform a Monte Carlo simulation in a dualrepresentation in terms of fluxes where the complex action problem is overcome.We explore various aspects of lattice spectroscopy at finite density and zerotemperature, such as the asymmetry of forward and backward propagation in timeand the transition into the condensed phase. It is shown that after a suitablesubtraction the exponents for forward and backward propagation are independentof mu and agree with the mass obtained from the propagator at mu = 0. Thisholds for mu < mu_c and shows that below the condensation transition the massis independent of mu as expected from the Silver Blaze scenario.

Spectroscopy in finite density lattice field theory: An exploratory study in the relativistic Bose gas