Symmetric Mass Generation

• URL: http://arxiv.org/abs/2204.14271v1
• Date: Fri, 29 Apr 2022 17:55:56 GMT
• Title: Symmetric Mass Generation
• Authors: Juven Wang, Yi-Zhuang You
• Abstract summary: "Symmetric Mass Generation" has deep connections with interacting topological insulator/superconductors. It has strong implications for the lattice regularization of chiral gauge theories.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The most well-known mechanism for fermions to acquire a mass is the Nambu-Goldstone-Anderson-Higgs mechanism, i.e. after a spontaneous symmetry breaking, a bosonic field that couples to the fermion mass term condenses, which grants a mass gap for the fermionic excitation. In the last few years, it was gradually understood that there is a new mechanism of mass generation for fermions without involving any symmetry breaking within an anomaly-free symmetry group. This new mechanism is generally referred to as the "Symmetric Mass Generation (SMG)." It is realized that the SMG has deep connections with interacting topological insulator/superconductors, symmetry-protected topological states, perturbative local and non-perturbative global anomaly cancellations, and deconfined quantum criticality. It has strong implications for the lattice regularization of chiral gauge theories. This article defines the SMG, summarizes current numerical results, introduces a novel unifying theoretical framework (including the parton-Higgs and the s-confinement mechanisms, as well as the symmetry-extension construction), and overviews various features and applications of SMG.

Related papers

• Decoherence-induced self-dual criticality in topological states of matter [0.9961452710097684]
  We discuss the role of self-dual symmetry -- a fundamental notion in theoretical physics -- in mixed states. We show that the decoherence of electric and magnetic vortices from the 2D bulk of the toric code can leave a (1+1)D quantum critical mixed state. An explicit breaking of the self-duality, by incoherent noise amounting to fermion interactions or non-interacting coherent deformation, is shown to induce an RG crossover.
  arXiv  Detail & Related papers  (2025-02-19T19:00:02Z)
• Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation [1.8109739961560658]
  We study the anomaly of C-R-T-internal symmetry in all spacetime dimensions. We find that either 8 copies of staggered Majorana fermions or 4 copies of staggered Dirac fermions admit SMG.
  arXiv  Detail & Related papers  (2024-12-27T15:36:31Z)
• Exactly solvable models for fermionic symmetry-enriched topological phases and fermionic 't Hooft anomaly [33.49184078479579]
  The interplay between symmetry and topological properties plays a very important role in modern physics. How to realize all these fermionic SET (fSET) phases in lattice models remains to be a difficult open problem.
  arXiv  Detail & Related papers  (2024-10-24T19:52:27Z)
• Interacting chiral fermions on the lattice with matrix product operator norms [37.69303106863453]
  We develop a Hamiltonian formalism for simulating interacting chiral fermions on the lattice. The fermion doubling problem is circumvented by constructing a Fock space endowed with a semi-definite norm. We demonstrate that the scaling limit of the free model recovers the chiral fermion field.
  arXiv  Detail & Related papers  (2024-05-16T17:46:12Z)
• Observability of spontaneous collapse in flavor oscillations and its relation to the CP and CPT symmetries [0.0]
  Spontaneous collapse models aim at solving the measurement problem of quantum mechanics. We study how the violation of the $mathcalCP$ symmetry in mixing changes the spontaneous collapse effect on flavor oscillations.
  arXiv  Detail & Related papers  (2022-08-30T16:48:21Z)
• Noise-resilient Edge Modes on a Chain of Superconducting Qubits [103.93329374521808]
  Inherent symmetry of a quantum system may protect its otherwise fragile states. We implement the one-dimensional kicked Ising model which exhibits non-local Majorana edge modes (MEMs) with $mathbbZ$ parity symmetry. MEMs are found to be resilient against certain symmetry-breaking noise owing to a prethermalization mechanism.
  arXiv  Detail & Related papers  (2022-04-24T22:34:15Z)
• Symmetric Mass Generation in the 1+1 Dimensional Chiral Fermion 3-4-5-0 Model [11.191494874283313]
  We show the interaction-driven gapping transition is in the Berezinskii-Kosterlitz-Thouless (BKT) class. As the mirror sector is gapped after the transition, we check that the fermions in the light chiral fermion sector remain gapless.
  arXiv  Detail & Related papers  (2022-02-24T20:33:48Z)
• Construction of Entangled Many-body States via the Higgs Mechanism [0.0]
  We generate entanglement of quantum many-body states by applying key ideas of the Higgs mechanism to systems without gauge structures. We uncover a symmetry-protected topological state with two Ising symmetries on a square lattice and find entangled states with different symmetries and lattices.
  arXiv  Detail & Related papers  (2022-01-17T19:00:06Z)
• Deformed Symmetry Structures and Quantum Many-body Scar Subspaces [12.416248333306237]
  A quantum many-body scar system usually contains a special non-thermal subspace decoupled from the rest of the Hilbert space. We propose a general structure called deformed symmetric spaces for the decoupled subspaces hosting quantum many-body scars.
  arXiv  Detail & Related papers  (2021-08-17T18:00:02Z)
• Unwinding Fermionic SPT Phases: Supersymmetry Extension [0.0]
  We show how 1+1-dimensional fermionic symmetry-protected topological states can be protected by supersymmetry. The extended projective global symmetry on the boundary can become supersymmetric in a specific sense. This also means we can uplift and remove certain exotic fermionic anomalies.
  arXiv  Detail & Related papers  (2020-11-27T18:59:50Z)
• Quasi-symmetry groups and many-body scar dynamics [13.95461883391858]
  In quantum systems, a subspace spanned by degenerate eigenvectors of the Hamiltonian may have higher symmetries than those of the Hamiltonian itself. When the group is a Lie group, an external field coupled to certain generators of the quasi-symmetry group lifts the degeneracy. We provide two related schemes for constructing one-dimensional spin models having on-demand quasi-symmetry groups.
  arXiv  Detail & Related papers  (2020-07-20T18:05:21Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.