aqora

The thirring model from the XXZ Heisenberg chain Schwinger terms

Hector J. de Vega, T. J. M. Simões

Physics Letters BJan 1, 19898 citations

Functional integrals and phase structures in sine-Gordon-Thirring model

Zou Bo-Xia, Jun Yan, Tao Wang

四川大学学报：自然科学版Jan 1, 20100 citations

Physics of the Schwinger model

Dietrich E. Wolf, J. Zittartz

The European Physical Journal BMar 1, 198522 citations

Functional bosonization with time dependent perturbations

Carlos Naón, Salvay, M J, Trobo, M L

We extend a path-integral approach to bosonization previously developed in the framework of equilibrium Quantum Field Theories, to the case in which time-dependent interactions are taken into account. In particular we consider a non covariant version of the Thirring model in the presence of a dynamic barrier at zero temperature. By using the Closed Time Path (Schwinger-Keldysh) formalism, we compute the Green's function and the Total Energy Density of the system. Since our model contains the Tomonaga Luttinger model as a particular case, we make contact with recent results on non-equilibrium electronic systems.We extend a path-integral approach to bosonization previously developed in the framework of equilibrium Quantum Field Theories, to the case in which time-dependent interactions are taken into account. In particular we consider a non covariant version of the Thirring model in the presence of a dynamic barrier at zero temperature. By using the Closed Time Path (Schwinger-Keldysh) formalism, we compute the Green's function and the Total Energy Density of the system. Since our model contains the Tomonaga Luttinger model as a particular case, we make contact with recent results on non-equilibrium electronic systems.

Dec 12, 20038 citations

The Luttinger mode, Thirring strings, and enhanced internal symmetries

Uwe K. Albertin, Michael G. Cleveland, Tim Pritchett

The standard solution of the Luttinger model (1963) is compared with recent formulations of the Thirring model used in describing Thirring strings. These models may in turn be described by compactified boson models of particular radii. An interesting discrepancy is noted between the apparent radius of the bosons in the Luttinger model and those in the Thirring model. This difference manifests itself in different conformal weights for the fermion fields. The authors resolve this discrepancy by performing an additional rescaling of the Luttinger model bosons. They then examine the enhanced symmetry points that occur in the boson theory at particular values of the radii. In particular, for the Thirring model with two families of spinors, which corresponds to a conformal theory with central extension c=2, one finds an enhanced SU(3) L *SU(3) R symmetry for certain values of the boson radii. This theory is equivalent to the Luttinger model with spin. By examining the response functions for the Luttinger model it is found that the point of SU(3) L *SU(3) R symmetry lies on the Luttinger model phase transition lines.The standard solution of the Luttinger model (1963) is compared with recent formulations of the Thirring model used in describing Thirring strings. These models may in turn be described by compactified boson models of particular radii. An interesting discrepancy is noted between the apparent radius of the bosons in the Luttinger model and those in the Thirring model. This difference manifests itself in different conformal weights for the fermion fields. The authors resolve this discrepancy by performing an additional rescaling of the Luttinger model bosons. They then examine the enhanced symmetry points that occur in the boson theory at particular values of the radii. In particular, for the Thirring model with two families of spinors, which corresponds to a conformal theory with central extension c=2, one finds an enhanced SU(3) L *SU(3) R symmetry for certain values of the boson radii. This theory is equivalent to the Luttinger model with spin. By examining the response functions for the Luttinger model it is found that the point of SU(3) L *SU(3) R symmetry lies on the Luttinger model phase transition lines.

Journal of Physics A Mathematical and GeneralJun 21, 19900 citations

Schwinger functions and their generating functionals. I

Jürg Martin Fröhlich

Helvetica Physica Acta (Switzerland)Nov 8, 197481 citations

Schwinger functions in Thirring and Luttinger models

Related papers

Schwinger functions in Thirring and Luttinger models

Related papers