On the ground state of a free massless (pseudo)scalar field in two dimensions

Abstract

We investigate the ground state of a free massless (pseudo)scalar field in 1+1-dimensional space-time. We argue that in the quantum field theory of a free massless (pseudo)scalar field without infrared divergences (Eur. Phys. J. C24, 653 (2002)) the ground state can be represented by a tensor product of wave functions of the fiducial vacuum and of the collective zero-mode, describing the motion of the ``center of mass'' of a free massless (pseudo)scalar field. We show that the bosonized version of the BCS wave function of the ground state of the massless Thirring model obtained in (Phys.Lett. B563, 231 (2003)) describes the ground state of the free massless (pseudo)scalar field.

arXiv comment20 pages, Latex, no figures

References in corpus (3)

• On the solution of the massless Thirring model with fermion fields quantized in the chiral symmetric phase
• Quantum field theory of a free massless (pseudo)scalar field in 1+1-dimensional space-time as a test for the massless Thirring model
• On spontaneous breaking of continuous symmetry in 1+1-dimensional space-time

Cited by in corpus (4)

• Is the energy density of the ground state of the sine-Gordon model unbounded from below for beta^2 > 8 pi ?
• Goldstone bosons in the massless Thirring model. Witten's criterion
• On the vacua in the massless Thirring model
• On spontaneous breaking of continuous symmetry in 1+1-dimensional space-time