Path-integral Bosonization of $d=2$ PT symmetric models

Abstract

We discuss bosonization of non-Hermitian PT invariant fermion models in $d=2$ space-time dimensions within the path-integral approach in which the generating functionals associated to the fermion and boson models can be related. We first discuss the PT symmetric Thirring-sine-Gordon connection and then extend the treatment to bosonize the Gross-Neveu model.

arXiv comment12 pages, no figures

References in corpus (16)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Making Sense of Non-Hermitian Hamiltonians
• Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Pseudo-Hermitian Representation of Quantum Mechanics
• Pseudo-Hermiticity versus PT-Symmetry II: A complete characterizatio n of non-Hermitian Hamiltonians with a real spectrum
• Pseudo-Hermiticity versus PT-Symmetry III: Equivalence of pseudo-Her miticity and the presence of antilinear symmetries
• New topological invariants in non-Hermitian systems
• Entanglement spectrum and entropy in topological non-Hermitian systems and non-unitary conformal field theories
• Dual PT-Symmetric Quantum Field Theories
• Non-Hermitian dynamics without dissipation in quantum systems
• A comment on bosonization in $d\ge 2$ dimensions
• Quantum Entanglement of Non-Hermitian Quasicrystals
• Correlations at PT-symmetric quantum critical point
• $\mathcal{P}\mathcal{T}$-symmetric $-g{\phi }^4$ theory
• Anomalies in PT-Symmetric Quantum Field Theory
• An investigation of $\mathcal{P}\mathcal{T}$-symmetry breaking in tight-binding chains