Results 21 to 30 of about 48,835 (257)
Nonlocal Hamiltonian gauge theories and their connection with lattice Hamiltonians
Physical Review D, 1985 We introduce the concept of primitive Hamiltonian density for nonlocal Abelian gauge theories. We subsequently study the local limit both with respect to the continuum and with respect to a lattice structure introduced via hypercubic cells. The non-Abelian case is also discussed.
KTORIDES, CN, MAVROMATOS, NE
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Chiral fermion in the Hamiltonian lattice gauge theory
Physical Review D, 2023 We discuss the chiral fermion in the Hamiltonian formalism of lattice gauge theory. Although the naive chiral charge operator does not commute with the Hamiltonian, the commutable one can be defined for the overlap fermion. The eigenvalues of the energy and the chiral charge can be defined simultaneously.
Tomoya Hayata +2 more
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Dynamical generalization of Yetter’s model based on a crossed module of discrete groups
Journal of High Energy Physics, 2021 We construct a lattice model based on a crossed module of possibly non-abelian finite groups. It generalizes known topological quantum field theories, but in contrast to these models admits local physical excitations.
Arkadiusz Bochniak +2 more
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From lattice gauge theories to hydrogen atoms
Physics Letters B, 2015 We construct canonical transformations to obtain a complete and most economical realization of the physical Hilbert space Hp of pure SU(2)2+1 lattice gauge theory in terms of Wigner coupled Hilbert spaces of hydrogen atoms.
Manu Mathur, T.P. Sreeraj
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$2+1$ Covariant Lattice Theory and t'Hooft's Formulation [PDF]
, 1996 We show that 't Hooft's representation of (2+1)-dimensional gravity in terms of flat polygonal tiles is closely related to a gauge-fixed version of the covariant Hamiltonian lattice theory. 't Hooft's gauge is remarkable in that it leads to a Hamiltonian
't Hooft G +8 more
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Residual gauge invariance of Hamiltonian lattice gauge theories
Zeitschrift für Physik C Particles and Fields, 1984 The time-independent residual gauge invariance of Hamiltonian lattice gauge theories is considered. Eigenvalues and eigenfunctions of the unperturbed Hamiltonian are found in terms of Gegenbauer's polynomials. Physical states which satisfy the subsidiary condition corresponding to Gauss' law are constructed systematically.
S. Ryang, T. Saito, K. Shigemoto
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A Nonperturbative Microscopic Theory of Hamiltonian Lattice Gauge Systems [PDF]
, 1995 A review is given of our recent application of a systematic microscopic formulation of quantum many-body theory, namely the coupled-cluster method (CCM), to Hamiltonian $U(1)$ lattice gauge models in the pure gauge sector. It is emphasized that our CCM results represent a natural extension or resummation of the results from the strong-coupling ...
Bishop, RF, Davidson, NJ, Xian, Y
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Mesons on a transverse lattice [PDF]
, 2001 The meson eigenstates of the light-cone Hamiltonian in a coarse transverse lattice gauge theory are investigated. Building upon previous work in pure gauge theory, the Hamiltonian and its Fock space are expanded in powers of dynamical fields.
A. Casher +63 more
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Towards overcoming the Monte Carlo sign problem with tensor networks
EPJ Web of Conferences, 2017 The study of lattice gauge theories with Monte Carlo simulations is hindered by the infamous sign problem that appears under certain circumstances, in particular at non-zero chemical potential.
Bañuls Mari Carmen +5 more
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Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions
PRX Quantum, 2022 Tracking the dynamics of physical systems in real time is a prime application of quantum computers. Using a trapped-ion system with up to six qubits, we simulate the real-time dynamics of a lattice gauge theory in 1+1 dimensions, i.e., the lattice ...
Nhung H. Nguyen +6 more
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