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Gauss law, minimal coupling and fermionic PEPS for lattice gauge theories
SciPost Physics Lecture Notes, 2020 In these lecture notes, we review some recent works on Hamiltonian lattice gauge theories, that involve, in particular, tensor network methods. The results reviewed here are tailored together in a slightly different way from the one used in the ...
Patrick Emonts, Erez Zohar
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Journal of High Energy Physics, 2020 Gauge theory is the framework of the Standard Model of particle physics and is also important in condensed matter physics. As its major non-perturbative approach, lattice gauge theory is traditionally implemented using Monte Carlo simulation ...
Xiaopeng Cui, Yu Shi, Ji-Chong Yang
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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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Acta Universitatis Sapientiae: Informatica, 2021 The quark-gluon plasma is written by the non-Abelian gauge theory. The dynamics of the gauge SU(2) are given by the Hamiltonian function, which contains the quadratic part of the field strength tensor Fμva{\rm{F}}_{\mu v}^{\rm{a}} expressed in ...
Fülöp Ágnes
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Harmonic Oscillator Prepotentials in SU(2) Lattice Gauge Theory [PDF]
J.Phys. A38 (2005) 10015-10026, 2004 We write the SU(2) lattice gauge theory Hamiltonian in (d+1) dimensions in terms of prepotentials which are the SU(2) fundamental doublets of harmonic oscillators. The Hamiltonian in terms of prepotentials has $SU(2) \otimes U(1)$ local gauge invariance.
arxiv +1 more source
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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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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Comments on foliated gauge theories and dualities in 3+1d
SciPost Physics, 2021 We investigate the properties of foliated gauge fields and construct several foliated field theories in 3+1d that describe foliated fracton orders both with and without matter, including the recent hybrid fracton models.
Po-Shen Hsin, Kevin Slagle
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Matrix product representation of gauge invariant states in a Z_2 lattice gauge theory [PDF]
JHEP0507:022,2005, 2005 The Gauss law needs to be imposed on quantum states to guarantee gauge invariance when one studies gauge theory in hamiltonian formalism. In this work, we propose an efficient variational method based on the matrix product ansatz for a Z_2 lattice gauge theory on a spatial ladder chain.
arxiv +1 more source
Lieb-Schultz-Mattis, Luttinger, and 't Hooft - anomaly matching in lattice systems
SciPost Physics, 2023 We analyze lattice Hamiltonian systems whose global symmetries have 't Hooft anomalies. As is common in the study of anomalies, they are probed by coupling the system to classical background gauge fields.
Meng Cheng, Nathan Seiberg
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