Lecture notes on normalizing flows for lattice quantum field theories
SciPost Physics Lecture NotesNumerical simulations of quantum field theories on lattices serve as a fundamental tool for studying the non-perturbative regime of the theories, where analytic tools often fall short.
Miranda C. N. Cheng, Niki Stratikopoulou
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Review on Quantum Computing for Lattice Field Theory
Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022), 2023 In these proceedings, we review recent advances in applying quantum computing to lattice field theory. Quantum computing offers the prospect to simulate lattice field theories in parameter regimes that are largely inaccessible with the conventional Monte Carlo approach, such as the sign-problem afflicted regimes of finite baryon density, topological ...
Funcke, Lena +3 more
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Quantum field theory on a growing lattice [PDF]
Journal of High Energy Physics, 2004 We construct the classical and canonically quantized theories of a massless scalar field on a background lattice in which the number of points--and hence the number of modes--may grow in time. To obtain a well-defined theory certain restrictions must be imposed on the lattice.
Foster, Brendan Z., Jacobson, Ted
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Hubbard model on the honeycomb lattice: From static and dynamical mean-field theories to lattice quantum Monte Carlo simulations [PDF]
Physical Review B, 2020 10 pages + appendix on the structure of the self energy; 5 ...
Marcin Raczkowski +6 more
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Quantum Counter-Terms for Lattice Field Theory on Curved Manifolds
Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021), 2022 We present the necessity of counter-terms for Quantum Finite Element (QFE) simulations of Ï•4 theory on non-trivial simplicial manifolds with semi-regular lattice spacing. By computing the local cut-off dependence of UV divergent diagrams we found that the symmetries of the continuum theory are restored for Ï•4 theory on the manifolds S2 and S2 × R in
Owen, Evan K. +5 more
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On the mass spectrum of the 2+1 gauge-Higgs lattice quantum field theory [PDF]
Communications in Mathematical Physics, 1986 We investigate the mass spectrum of a \(2+1\) lattice gauge-Higgs quantum field theory with Wilson action \(\beta A_ p+\lambda A_ H\), where \(A_ p(A_ H)\) is the gauge (gauge-Higgs) interaction. We determine the complete spectrum exactly for all \(\beta,\lambda >0\) by an explicit diagonalization of the gauge invariant ''transfer matrix'' in the ...
Schor, Ricardo S., O'Carroll, Michael
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Cluster dynamical mean field theory of quantum phases on a honeycomb lattice [PDF]
Physical Review B, 2012 5 pages and 8 ...
He, Rong-Qiang, Lu, Zhong-Yi
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Quantum simulation of ultracold atoms in optical lattice based on dynamical mean-field theory
Acta Physica Sinica, 2023 With the development of atomic cooling technology and optical lattice technology, the quantum system composed of optical lattice and ultracold atomic gas has become a powerful tool for quantum simulation. The purity and highly controllable nature of the optical lattice give it a strong regulatory capability.
Hui Tan, Rui Cao, Yong-Qiang Li
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Finite-volume energy spectrum, fractionalized strings, and low-energy effective field theory for the quantum dimer model on the square lattice [PDF]
Physical Review B, 2016 35 pages, 16 ...
Banerjee D. +5 more
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Quantum brownian motion on a triangular lattice and c=2 boundary conformal field theory [PDF]
Nuclear Physics B, 2001 We study a single particle diffusing on a triangular lattice and interacting with a heat bath, using boundary conformal field theory (CFT) and exact integrability techniques. We derive a correspondence between the phase diagram of this problem and that recently obtained for the 2 dimensional 3-state Potts model with a boundary.
Ian Affleck +2 more
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