Composite boson dominance in relativistic field theories

Abstract

We apply a new bosonization technique to relativistic field theories of fermions whose partition function is dominated by bosonic composites, and derive the effective action for these bosons. The derivation respects all symmetries, including gauge invariance, with the exception of Euclidean invariance which must be checked a posteriori. We use a lattice regularization which should make applications to gauge theories easier. We test the method on a fermion field theory with quartic interaction in the limit when the number of flavours N_f is large, and show that it reproduces the exact results in the bosonic sector, namely condensation of a compositeboson with the right mass which breaks the discrete chiral invariance of the model. Moreover we determine the structure function of the condensed composite, whose spatial part turns out to be identical to that of the Cooper pairs of the BCS model of superconductivity.

34 pages, final version

References in corpus (3)

• Evidence for O(2) universality at the finite temperature transition for lattice QCD with 2 flavours of massless staggered quarks
• Two-Dimensional Heisenberg Model with Nonlinear Interactions: 1/N Corrections
• Large-N_f chiral transition in the Yukawa model

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• Simple condensation of composite bosons in a number conserving approach to many fermion systems
• Effective mesonic theory for the 't Hooft model on the lattice
• Lattice QCD${}_2$ effective action with Bogoliubov transformations