Flavoured Lattice Schwinger Model with Chiral Anomaly

• URL: http://arxiv.org/abs/2604.13146v2
• Date: Mon, 20 Apr 2026 14:37:50 GMT
• Title: Flavoured Lattice Schwinger Model with Chiral Anomaly
• Abstract summary: We introduce the emphflavoured lattice Schwinger model, a $(1+1)$-dimensional $U(1)$ lattice gauge theory.<n>The fermion doubling problem is resolved by staggering a $mathbbZ_2$ flavour degree of freedom rather than staggering chirality.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We introduce the \emph{flavoured lattice Schwinger model}, a $(1{+}1)$-dimensional $U(1)$ lattice gauge theory in which the fermion doubling problem is resolved by staggering a $\mathbb{Z}_{2}$ flavour degree of freedom rather than staggering chirality. Unlike all standard approaches, the flavoured construction preserves an exact axial $U(1)$ symmetry at finite lattice spacing. We derive the continuum limit, showing the model reduces to two copies of the massless Schwinger model labelled by $α\in\{0,1\}$. The central result is that the flavoured construction admits a well-defined, regularized, gauge-invariant lattice axial charge $Q_{G}^{A}$ with chiral anomaly equation $\langle dQ_{G}^{A}/dt\rangle = -(2g/π)\int dx\,\langle E(x)\rangle$ in the continuum limit, derived as a direct dynamical consequence of minimal gauge coupling at finite lattice spacing. Restricting to the $α=0$ sector recovers the standard single-flavour result. We further show that spatial separation of the flavour sectors can be realised as a helical edge states living on the boundaries of a ribbon shaped $(2{+}1)$-dimensional Bernevig--Hughes--Zhang topological insulator. This provides a bulk-boundary picture solution to fermion doubling and allows the chiral anomaly to be put on the lattice for a single flavour.

Related papers

• Restricted Eigenvalues Beyond Gaussian Width: Threshold Occupancy under Heavy Tails [47.36630149538994]
  For isotropic sub-Gaussian measurements, the benchmark sample size is $1+w(A)2$, where $w(A)$ is the Gaussian width of the normalized descent cone.<n>We give an explicit and systematic negative answer to the general question as formulated there: the proposed law fails in its full dimension-free, arbitrary-set form.<n>Under isotropy, a distribution-free fallback governed by affine dimension times squared enclosing radius is sharp on this family.
  arXiv  Detail & Related papers  (2026-09-03T08:05:05Z)
• The leading-soft cubic graviton self-interaction on the black-hole horizon [0.0]
  We extend the Einstein-Hilbert action to cubic order about the Schwarzschild horizon.<n>We derive the cubic graviton self-interaction on the Gaddam-Groenenboom-'t'Hooft framework.<n>We simulate the real-time dynamics of the resulting Hamiltonian on IBM Qiskit/Aer.
  arXiv  Detail & Related papers  (2026-07-23T08:59:13Z)
• Exact Geometric Typicality and Bipartite Entanglement from the Projected Central Limit Theorem on Hyperspheres [7.7281318046635015]
  We study the bipartite quantum mutual information $langle I(A:B)rangle$ for Haar-random pure states.<n>We show that its full expansion in $1/N$ admits a Bernoulli-factorized form in which every order $k ge 1$ carries the symmetric factor $(d_A2k-1)(d_B2k-1)$ and all higher odd-order corrections identically.
  arXiv  Detail & Related papers  (2026-05-28T10:27:31Z)
• Self-Normalized Martingales and Uniform Regret Bounds for Linear Regression [65.82017723631897]
  We show that scale-invariant upper bounds on self-normalized martingales are possible.<n>We derive a self-normalized concentration inequality free of the usual regularization penalties.
  arXiv  Detail & Related papers  (2026-05-02T22:39:00Z)
• Robust Sublinear Convergence Rates for Iterative Bregman Projections [21.689846521201588]
  We use entropic regularization to approximate linear programs whose constraints split into two (or more) tractable blocks.<n>We derive the flow-Sinkhorn algorithm for the Wasserstein-1 distance on graphs.
  arXiv  Detail & Related papers  (2026-02-01T18:20:19Z)
• Quantum-group-invariant $D^{(2)}_{n+1}$ models: Bethe ansatz and finite-size spectrum [0.0]
  We consider the quantum integrable spin chain models associated with the Jimbo R-matrix based on the quantum affine algebra $D(2)_n+1$.<n>We find that the symmetry of the lattice model is spontaneously broken, and the spectrum of conformal weights has both discrete and continuous components.
  arXiv  Detail & Related papers  (2025-08-30T21:22:20Z)
• Mesoscopic Fluctuations and Multifractality at and across Measurement-Induced Phase Transition [46.176861415532095]
  We explore statistical fluctuations over the ensemble of quantum trajectories in a model of two-dimensional free fermions.<n>Our results exhibit a remarkable analogy to Anderson localization, with $G_AB$ corresponding to two-terminal conductance.<n>Our findings lay the groundwork for mesoscopic theory of monitored systems, paving the way for various extensions.
  arXiv  Detail & Related papers  (2025-07-15T13:44:14Z)
• A Unified Framework for Uniform Signal Recovery in Nonlinear Generative Compressed Sensing [68.80803866919123]
  Under nonlinear measurements, most prior results are non-uniform, i.e., they hold with high probability for a fixed $mathbfx*$ rather than for all $mathbfx*$ simultaneously. Our framework accommodates GCS with 1-bit/uniformly quantized observations and single index models as canonical examples. We also develop a concentration inequality that produces tighter bounds for product processes whose index sets have low metric entropy.
  arXiv  Detail & Related papers  (2023-09-25T17:54:19Z)
• Measurement-induced phase transition for free fermions above one dimension [46.176861415532095]
  Theory of the measurement-induced entanglement phase transition for free-fermion models in $d>1$ dimensions is developed. Critical point separates a gapless phase with $elld-1 ln ell$ scaling of the second cumulant of the particle number and of the entanglement entropy.
  arXiv  Detail & Related papers  (2023-09-21T18:11:04Z)
• Rigorous derivation of the Efimov effect in a simple model [68.8204255655161]
  We consider a system of three identical bosons in $mathbbR3$ with two-body zero-range interactions and a three-body hard-core repulsion of a given radius $a>0$.
  arXiv  Detail & Related papers  (2023-06-21T10:11:28Z)
• Phase Diagram of the Two-Flavor Schwinger Model at Zero Temperature [0.0]
  We find interesting effects at $theta=pi$: along the $SU(2)$-invariant line $m_lat = m- g2 a/4$. In this regime there is a non-perturbatively small mass gap $sim e- A g2/m2$.
  arXiv  Detail & Related papers  (2023-05-08T03:17:48Z)
• Theory of free fermions under random projective measurements [43.04146484262759]
  We develop an analytical approach to the study of one-dimensional free fermions subject to random projective measurements of local site occupation numbers. We derive a non-linear sigma model (NLSM) as an effective field theory of the problem.
  arXiv  Detail & Related papers  (2023-04-06T15:19:33Z)
• A New Look at the $C^{0}$-formulation of the Strong Cosmic Censorship Conjecture [68.8204255655161]
  We argue that for generic black hole parameters as initial conditions for Einstein equations, the metric is $C0$-extendable to a larger Lorentzian manifold. We prove it violates the "complexity=volume" conjecture for a low-temperature hyperbolic AdS$_d+1$ black hole dual to a CFT living on a ($d-1$)-dimensional hyperboloid $H_d-1$.
  arXiv  Detail & Related papers  (2022-06-17T12:14:33Z)
• Discrete Chiral Symmetry and Mass Shift in Lattice Hamiltonian Approach to Schwinger Model [0.0]
  We revisit the lattice formulation of the Schwinger model using the Kogut-Susskind Hamiltonian approach with staggered fermions. We find that including the shift of the $theta$-angle by $pi$ greatly improves the rate of convergence to the continuum limit.
  arXiv  Detail & Related papers  (2022-06-10T18:09:27Z)

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.