A combinatorial framework for discrete vector bundles with connection is introduced on simplicial complexes, with discrete curvature, gauge transformations, and flat connections computing twisted de Rham cohomology.
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Wilson, Confinement of Quarks, Phys
15 Pith papers cite this work, alongside 3,511 external citations. Polarity classification is still indexing.
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Proves infinite-volume large-N limits, factorization, and 1/N expansion for Wilson loops in heat-kernel Yang-Mills on Z^d, plus area-law bound for the master field.
A discrete BF formulation of Carroll dilaton gravity on a lattice yields boundary symmetries that recover the affine Carroll algebra and its conformal reduction in the continuum limit.
Treating coordinate maps as dynamical variables in action-based IBVP discretizations yields exact Noether charge conservation and automatic mesh refinement even at high order when SBP operators are used.
Perturbative study of the three-state Potts model reveals hybridization of kink excitations with bound states and analytic post-quench evolution that matches numerical simulations.
The paper derives a discrete entropy formula for warped black holes directly from SL(2,R) x U(1) boundary monodromy invariants that recovers the continuum warped thermodynamics in the large-lattice limit.
Backreaction in semiclassical scalar QED in 1+1D avoids instabilities and produces over-screening at high external charges.
An algebraic light-front model supplies unified leading-twist PDAs, LFWFs, GPDs, PDFs, EFFs, charge radii and IPS-GPDs for light, heavy-light and heavy-heavy pseudoscalar mesons from the same Bethe-Salpeter amplitudes.
Weyl geometry is equivalent to Riemannian geometry of a non-local dressed metric g*_{\mu\nu} via Wilson lines, with the quadratic and WDBI actions taking the same form in the symmetric phase.
Perturbative computation of 2D NLSM energy-density to fourth order agrees with TBA large-h asymptotics.
Only the fully symmetry-constrained Ginibre U(1) evolutionary model in gauge-covariant neural fields robustly reaches a narrow near-marginal regime and reproduces the predicted low-frequency finite-width spectral behavior.
The paper provides an overview of theoretical calculations for lepton anomalous magnetic moments arising from quantum corrections in the Standard Model.
Reviews approaches such as Lefschetz thimbles, complex Langevin dynamics, dual variables, tensor renormalization group, and machine learning to control the sign problem in lattice field theories.
An introductory review of renormalisation procedures, the renormalisation group, and scale-setting optimisation in gauge theories such as QCD.
Lecture notes on lattice methods for formal TASI students covering basics, confinement, chiral fermions, and case studies in the 3D Ising model and QCD.
citing papers explorer
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Discrete Vector Bundles with Connection
A combinatorial framework for discrete vector bundles with connection is introduced on simplicial complexes, with discrete curvature, gauge transformations, and flat connections computing twisted de Rham cohomology.
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The heat-kernel master field on $\mathbb{Z}^d$ at strong coupling
Proves infinite-volume large-N limits, factorization, and 1/N expansion for Wilson loops in heat-kernel Yang-Mills on Z^d, plus area-law bound for the master field.
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Holonomies and Boundary Symmetries in the Discrete BF Formulation of Carroll Dilaton Gravity
A discrete BF formulation of Carroll dilaton gravity on a lattice yields boundary symmetries that recover the affine Carroll algebra and its conformal reduction in the continuum limit.
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From Exact Space-Time Symmetry Conservation to Automatic Mesh Refinement in Discrete Initial Boundary Value Problems
Treating coordinate maps as dynamical variables in action-based IBVP discretizations yields exact Noether charge conservation and automatic mesh refinement even at high order when SBP operators are used.
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Confinement in the three-state Potts quantum spin chain in extreme ferromagnetic limit
Perturbative study of the three-state Potts model reveals hybridization of kink excitations with bound states and analytic post-quench evolution that matches numerical simulations.
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Holonomies and Boundary Symmetries in the Discrete Warped Chern-Simons Gravity
The paper derives a discrete entropy formula for warped black holes directly from SL(2,R) x U(1) boundary monodromy invariants that recovers the continuum warped thermodynamics in the large-lattice limit.
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Revisiting semiclassical scalar QED in 1+1 dimensions
Backreaction in semiclassical scalar QED in 1+1D avoids instabilities and produces over-screening at high external charges.
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Unified Description of Pseudoscalar Meson Structure from Light to Heavy Quarks
An algebraic light-front model supplies unified leading-twist PDAs, LFWFs, GPDs, PDFs, EFFs, charge radii and IPS-GPDs for light, heavy-light and heavy-heavy pseudoscalar mesons from the same Bethe-Salpeter amplitudes.
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Weyl conformal geometry vs Riemannian geometry of Weyl gauge invariant dressed metric
Weyl geometry is equivalent to Riemannian geometry of a non-local dressed metric g*_{\mu\nu} via Wilson lines, with the quadratic and WDBI actions taking the same form in the symmetric phase.
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A note on the 2D NLSM free energy
Perturbative computation of 2D NLSM energy-density to fourth order agrees with TBA large-h asymptotics.
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Neuro-evolutionary stochastic architectures in gauge-covariant neural fields
Only the fully symmetry-constrained Ginibre U(1) evolutionary model in gauge-covariant neural fields robustly reaches a narrow near-marginal regime and reproduces the predicted low-frequency finite-width spectral behavior.
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Lepton anomalous magnetic moments: Theory
The paper provides an overview of theoretical calculations for lepton anomalous magnetic moments arising from quantum corrections in the Standard Model.
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Lattice field theories with a sign problem
Reviews approaches such as Lefschetz thimbles, complex Langevin dynamics, dual variables, tensor renormalization group, and machine learning to control the sign problem in lattice field theories.
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Renormalisation
An introductory review of renormalisation procedures, the renormalisation group, and scale-setting optimisation in gauge theories such as QCD.
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Lattice methods for students at a formal TASI
Lecture notes on lattice methods for formal TASI students covering basics, confinement, chiral fermions, and case studies in the 3D Ising model and QCD.