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EXPECTATION VALUES IN THE LIEB-LINIGER BOSE GAS

Giuseppe Mussardo, SISSA Trieste

I will show that the repulsive Lieb-Liniger model of bosonic cold atoms can be
regarded as the non-relativistic limit of the Sinh-Gordon quantum field theory:
all physical quantities of the latter model (S-matrix, Lagrangian and operators)
can be put in correspondence with those of the former. I use this mapping, together
with the Thermodynamic Bethe Ansatz equations and the exact form factors of
the Sinh-Gordon model, to set up a compact and general formalism for computing
the expectation values of the Lieb-Liniger model both at zero and
finite temperature. The computation of one-point correlators is thoroughly
detailed and, when possible, compared with known results.