# Tensor Network study of the (1+1)-dimensional Thirring Model

@article{Bauls2017TensorNS, title={Tensor Network study of the (1+1)-dimensional Thirring Model}, author={Mar{\'i} Carmen Ba{\~n}uls and Krzysztof Cichy and Ying-Jer Kao and C.-J. David Lin and Yu-Ping Lin and David T.-L. Tan}, journal={arXiv: High Energy Physics - Lattice}, year={2017} }

Tensor Network methods have been established as a powerful technique for simulating low dimensional strongly-correlated systems for over two decades. Employing the formalism of Matrix Product States, we investigate the phase diagram of the massive Thirring model. We also show the possibility of studying soliton dynamics and topological phase transition via the Thirring model.

## 7 Citations

### Phase structure and real-time dynamics of the massive Thirring model in 1+1 dimensions using the tensor-network method

- PhysicsProceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)
- 2020

We present concluding results from our study for zero-temperature phase structure of the massive Thirring model in 1+1 dimensions with staggered regularisation. Employing the method of matrix product…

### Investigation of the 1+1 dimensional Thirring model using the method of matrix product states

- PhysicsProceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)
- 2019

We present preliminary results of a study on the non-thermal phase structure of the (1+1) dimensional massive Thirring model, employing the method of matrix product states. Through investigating the…

### Phase structure of the ( 1+1 )-dimensional massive Thirring model from matrix product states

- PhysicsPhysical Review D
- 2019

Employing matrix product states as an ansatz, we study the nonthermal phase structure of the ($1+1$)-dimensional massive Thirring model in the sector of a vanishing total fermion number with…

### O(3) nonlinear sigma model in 1+1 dimensions with matrix product states

- PhysicsPhysical Review D
- 2019

We numerically study the spectral properties, the entanglement and the zero-temperature phase structure at nonvanishing chemical potential of the O(3) nonlinear sigma model. Using matrix product…

### Gauss law, minimal coupling and fermionic PEPS for lattice gauge theories

- PhysicsSciPost Physics Lecture Notes
- 2020

In these lecture notes, we review some recent works on Hamiltonian lattice
gauge theories, that involve, in particular, tensor network methods.
The results reviewed here are tailored together in a…

### Ground States through Variational Optimization using Matrix Product States: a comparison between open and periodic boundary conditions

- Physics
- 2021

Matrix Product States can efficiently approximate ground states. Based on the Matrix Product formalism we use variational optimization methods to calculate ground state energies of the spin-2…

### Hadamard renormalization of a two-dimensional Dirac field

- Mathematics, Physics
- 2020

The Hadamard renormalization procedure is applied to a free, massive Dirac field $\psi$ on a 2 dimensional Lorentzian spacetime. This yields the state-independent divergent terms in the Hadamard…

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