RT Journal Article
T1 Integrable coupled massive Thirring model with field values in a Grassmann algebra
A1 Basu-Mallick, Bireswar
A1 Finkel Morgenstern, Federico
A1 González López, Artemio
A1 Sinha, Debdeep
AB A coupled massive Thirring model of two interacting Dirac spinors in 1 + 1 dimensions with fields taking values in a Grassmann algebra is introduced, which is closely related to a SU(1) version of the Grassmannian Thirring model also introduced in this work. The Lax pair for the system is constructed, and its equations of motion are obtained from a zero curvature condition. It is shown that the system possesses several infinite hierarchies of conserved quantities, which strongly confirms its integrability. The model admits a canonical formulation and is invariant under space-time translations, Lorentz boosts and global U(1) gauge transformations, as well as discrete symmetries like parity and time reversal. The conserved quantities associated to the continuous symmetries are derived using Noether's theorem, and their relation to the lower-order integrals of motion is spelled out. New nonlocal integrable models are constructed through consistent nonlocal reductions between the field components of the general model. The Lagrangian, the Hamiltonian, the Lax pair and several infinite hierarchies of conserved quantities for each of these nonlocal models are obtained substituting its reduction in the expressions of the analogous quantities for the general model. It is shown that, although the Lorentz symmetry of the general model breaks down for its nonlocal reductions, these reductions remain invariant under parity, time reversal, global U(1) gauge transformations and space-time translations.
PB Springer
SN 1126-6708
YR 2023
FD 2023-11-02
LK https://hdl.handle.net/20.500.14352/96448
UL https://hdl.handle.net/20.500.14352/96448
LA eng
NO Basu-Mallick, B., Finkel, F., González-López, A. et al. Integrable coupled massive Thirring model with field values in a Grassmann algebra. J. High Energ. Phys. 2023, 18 (2023). https://doi.org/10.1007/JHEP11(2023)018
NO Universidad Complutense de Madrid
NO Council of Scientific and Industrial Research (India)
DS Docta Complutense
RD 6 abr 2025