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
- 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) - Emergence of non-Abelian SU(2) invariance in Abelian frustrated
fermionic ladders [37.69303106863453]
We consider a system of interacting spinless fermions on a two-leg triangular ladder with $pi/2$ magnetic flux per triangular plaquette.
Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total fermionic charge, and a discrete $mathbbZ$ symmetry.
At the intersection of the three phases, the system features a critical point with an emergent SU(2) symmetry.
arXiv Detail & Related papers (2023-05-11T15:57:27Z) - Strong CP Problem and Symmetric Mass Solution [0.0]
We propose a novel solution to the Strong CP problem -- to explain why SU(3) strong force has a nearly zero theta angle $bartheta_3 simeq 0$ for the 4d Standard Model (SM)
The new ingredient is Symmetric Mass Generation (SMG): symmetry-preserving mass or energy gap can be generated without breaking any symmetry $G$.
The predictive signature of both SMG-based models is that some SM fermions or mirror fermions are highly interacting.
arXiv Detail & Related papers (2022-12-28T18:59:51Z) - Geometric Origin of Non-Bloch PT Symmetry Breaking [9.924017206241272]
Recently, it has been demonstrated that the non-Hermitian skin effect generates a new type of PT symmetry, dubbed the non-Bloch PT symmetry.
Here, we uncover the geometric mechanism of non-Bloch PT symmetry and its breaking.
We predict a new type of spectral singularity singularities associated with the symmetry breaking, dubbed non-Bloch van Hove.
arXiv Detail & Related papers (2022-10-24T18:00:05Z) - 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) - 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) - Information retrieval and eigenstates coalescence in a non-Hermitian
quantum system with anti-$\mathcal{PT}$ symmetry [15.273168396747495]
Non-Hermitian systems with parity-time reversal ($mathcalPT$) or anti-$mathcalPT$ symmetry have attracted a wide range of interest owing to their unique characteristics and counterintuitive phenomena.
We implement a Floquet Hamiltonian of a single qubit with anti-$mathcalPT$ symmetry by periodically driving a dissipative quantum system of a single trapped ion.
arXiv Detail & Related papers (2021-07-27T07:11:32Z) - 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.