Long-range order for the fermion bilinear is proved in three Euclidean lattice Gross-Neveu models at small coupling and large even N via reflection positivity, chessboard estimates and a Peierls argument.
Hamiltonian formulation of Wilson’s lattice gauge theories
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Derives explicit 4D clover-improved Wilson-Dirac determinant and propagator expressions in terms of the 3D Wilson-Dirac Hamiltonian on anisotropic lattices, plus an effective Euclidean time Hamiltonian shown to be Hermitian with particle-antiparticle symmetry.
Lattice QED is established as a quantum error-correcting code beyond stabilizers, with explicit recovery operations constructed via quantum reference frames for gauge and fermionic sectors.
Backreaction in semiclassical scalar QED in 1+1D avoids instabilities and produces over-screening at high external charges.
Lecture notes on lattice methods for formal TASI students covering basics, confinement, chiral fermions, and case studies in the 3D Ising model and QCD.
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Chiral Long-Range Order in three Euclidean Lattice Gross-Neveu Models
Long-range order for the fermion bilinear is proved in three Euclidean lattice Gross-Neveu models at small coupling and large even N via reflection positivity, chessboard estimates and a Peierls argument.
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Hamiltonian-based dimensional reduction and spectral reconstruction with Wilson-Dirac fermions
Derives explicit 4D clover-improved Wilson-Dirac determinant and propagator expressions in terms of the 3D Wilson-Dirac Hamiltonian on anisotropic lattices, plus an effective Euclidean time Hamiltonian shown to be Hermitian with particle-antiparticle symmetry.
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Error Correction in Lattice Quantum Electrodynamics with Quantum Reference Frames
Lattice QED is established as a quantum error-correcting code beyond stabilizers, with explicit recovery operations constructed via quantum reference frames for gauge and fermionic sectors.
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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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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.