The chiral Gross-Neveu model on the lattice via a Landau-forbidden phase transition
- Author
- Gertian Roose, Jutho Haegeman (UGent) , Karel Van Acoleyen (UGent) , Laurens Vanderstraeten (UGent) and Nick Bultinck (UGent)
- Organization
- Project
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- Improving our understanding of strongly correlated electron systems: from numerical simulations to measurements in the lab and back
- ERQUAF (Entanglement and Renormalisation for Quantum Fields)
- A high-performance tensor network library for classical and quantum many body physics
- Tensor networks and the simulation of strongly-correlated quantum many-body physics
- Tensor networks and the simulation of strongly-correlated quantum many-body physics
- Abstract
- We study the phase diagram of the (1 + 1)-dimensional Gross-Neveu model with both g(x)(2)(psi psi)(2) and g(y)(2)(psi i gamma(5)psi)(2) interaction terms on a spatial lattice. The continuous chiral symmetry, which is present in the continuum model when g(x)(2) = g(y)(2), has a mixed 't Hooft anomaly with the charge conservation symmetry, which guarantees the existence of a massless mode. However, the same 't Hooft anomaly also implies that the continuous chiral symmetry is broken explicitly in our lattice model. Nevertheless, from numerical matrix product state simulations we find that for certain parameters of the lattice model, the continuous chiral symmetry reemerges in the infrared fixed point theory, even at strong coupling. We argue that, in order to understand this phenomenon, it is crucial to go beyond mean-field theory (or, equivalently, beyond the leading order term in a 1/N expansion). Interestingly, on the lattice, the chiral Gross-Neveu model appears at a Landau-forbidden second order phase transition separating two distinct and unrelated symmetry-breaking orders. We point out the crucial role of two different 't Hooft anomalies or Lieb-Schultz-Mattis obstructions for this Landau-forbidden phase transition to occur.
- Keywords
- Nuclear and High Energy Physics, Chiral Symmetry, Effective Field Theories, Phase Transitions, SYMMETRY-BREAKING, DYNAMICAL MODEL, QUANTUM, SYSTEMS, FIELD, ANALOGY, MATRIX, GAP
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-01GQF8QMN3X3RT5PTM318ND09D
- MLA
- Roose, Gertian, et al. “The Chiral Gross-Neveu Model on the Lattice via a Landau-Forbidden Phase Transition.” JOURNAL OF HIGH ENERGY PHYSICS, vol. 2022, no. 6, 2022, doi:10.1007/jhep06(2022)019.
- APA
- Roose, G., Haegeman, J., Van Acoleyen, K., Vanderstraeten, L., & Bultinck, N. (2022). The chiral Gross-Neveu model on the lattice via a Landau-forbidden phase transition. JOURNAL OF HIGH ENERGY PHYSICS, 2022(6). https://doi.org/10.1007/jhep06(2022)019
- Chicago author-date
- Roose, Gertian, Jutho Haegeman, Karel Van Acoleyen, Laurens Vanderstraeten, and Nick Bultinck. 2022. “The Chiral Gross-Neveu Model on the Lattice via a Landau-Forbidden Phase Transition.” JOURNAL OF HIGH ENERGY PHYSICS 2022 (6). https://doi.org/10.1007/jhep06(2022)019.
- Chicago author-date (all authors)
- Roose, Gertian, Jutho Haegeman, Karel Van Acoleyen, Laurens Vanderstraeten, and Nick Bultinck. 2022. “The Chiral Gross-Neveu Model on the Lattice via a Landau-Forbidden Phase Transition.” JOURNAL OF HIGH ENERGY PHYSICS 2022 (6). doi:10.1007/jhep06(2022)019.
- Vancouver
- 1.Roose G, Haegeman J, Van Acoleyen K, Vanderstraeten L, Bultinck N. The chiral Gross-Neveu model on the lattice via a Landau-forbidden phase transition. JOURNAL OF HIGH ENERGY PHYSICS. 2022;2022(6).
- IEEE
- [1]G. Roose, J. Haegeman, K. Van Acoleyen, L. Vanderstraeten, and N. Bultinck, “The chiral Gross-Neveu model on the lattice via a Landau-forbidden phase transition,” JOURNAL OF HIGH ENERGY PHYSICS, vol. 2022, no. 6, 2022.
@article{01GQF8QMN3X3RT5PTM318ND09D,
abstract = {{We study the phase diagram of the (1 + 1)-dimensional Gross-Neveu model with both g(x)(2)(psi psi)(2) and g(y)(2)(psi i gamma(5)psi)(2) interaction terms on a spatial lattice. The continuous chiral symmetry, which is present in the continuum model when g(x)(2) = g(y)(2), has a mixed 't Hooft anomaly with the charge conservation symmetry, which guarantees the existence of a massless mode. However, the same 't Hooft anomaly also implies that the continuous chiral symmetry is broken explicitly in our lattice model. Nevertheless, from numerical matrix product state simulations we find that for certain parameters of the lattice model, the continuous chiral symmetry reemerges in the infrared fixed point theory, even at strong coupling. We argue that, in order to understand this phenomenon, it is crucial to go beyond mean-field theory (or, equivalently, beyond the leading order term in a 1/N expansion). Interestingly, on the lattice, the chiral Gross-Neveu model appears at a Landau-forbidden second order phase transition separating two distinct and unrelated symmetry-breaking orders. We point out the crucial role of two different 't Hooft anomalies or Lieb-Schultz-Mattis obstructions for this Landau-forbidden phase transition to occur.}},
articleno = {{019}},
author = {{Roose, Gertian and Haegeman, Jutho and Van Acoleyen, Karel and Vanderstraeten, Laurens and Bultinck, Nick}},
issn = {{1029-8479}},
journal = {{JOURNAL OF HIGH ENERGY PHYSICS}},
keywords = {{Nuclear and High Energy Physics,Chiral Symmetry,Effective Field Theories,Phase Transitions,SYMMETRY-BREAKING,DYNAMICAL MODEL,QUANTUM,SYSTEMS,FIELD,ANALOGY,MATRIX,GAP}},
language = {{eng}},
number = {{6}},
pages = {{28}},
title = {{The chiral Gross-Neveu model on the lattice via a Landau-forbidden phase transition}},
url = {{http://doi.org/10.1007/jhep06(2022)019}},
volume = {{2022}},
year = {{2022}},
}
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