Is the energy density of the ground state of the sine-Gordon model unbounded from below for beta^2 > 8 pi ?
arXiv:hep-th/0205249 · doi:10.1088/0305-4470/36/28/312
Abstract
We discuss Coleman's theorem concerning the energy density of the ground state of the sine-Gordon model proved in Phys. Rev. D 11, 2088 (1975). According to this theorem the energy density of the ground state of the sine-Gordon model should be unbounded from below for coupling constants beta^2 > 8 pi. The consequence of this theorem would be the non-existence of the quantum ground state of the sine-Gordon model for beta^2 > 8 pi. We show that the energy density of the ground state in the sine-Gordon model is bounded from below even for beta^2 > 8 pi. This result is discussed in relation to Coleman's theorem (Comm. Math. Phys. 31, 259 (1973)), particle mass spectra and soliton-soliton scattering in the sine-Gordon model.
22 pages, Latex, no figures, revised according to the version accepted for publication in Journal of Physics A
References in corpus (6)
- On the equivalence between sine-Gordon model and Thirring model in the chirally broken phase of the Thirring model
- 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 free massless (pseudo)scalar quantum field theory in 1+1-dimensional space-time
- On the ground state of a free massless (pseudo)scalar field in two dimensions
- Bosonic vacuum wave functions from the BCS-type wave function of the ground state of the massless Thirring model
Cited by in corpus (11)
- Comparison of renormalization group schemes for sine-Gordon type models
- Generalized universality in the massive sine-Gordon model
- On the renormalization of the bosonized multi-flavor Schwinger model
- Phase Structure and Compactness
- On the applicability of the layered sine-Gordon model for Josephson-coupled high-T_c layered superconductors
- Symmetries and Phase Structure of the Layered Sine-Gordon Model
- Anomalous scaling at non-thermal fixed points of the sine-Gordon model
- Exact Asymptotic Behaviour of Fermion Correlation Functions in the Massive Thirring Model
- Goldstone bosons in the massless Thirring model. Witten's criterion
- On renormalizability of the massless Thirring model
- On spontaneous breaking of continuous symmetry in 1+1-dimensional space-time