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Quantum Finite Elements for Lattice Field Theory [PDF]
Proceedings of The 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015), 2016 Viable non-perturbative methods for lattice quantum field theories on curved manifolds are difficult. By adapting features from the traditional finite element methods (FEM) and Regge Calculus, a new simplicial lattice Quantum Finite Element (QFE) Lagrangian is constructed for fields on a smooth Riemann manifold.
Richard C. Brower +5 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.
Brendan Foster, Ted Jacobson
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Remarks on the quantum field theory in lattice space. II [PDF]
Communications in Mathematical Physics, 1968 We calculate the Gelfand functionsE(f,g;a) for quantized field φ in lattice space,a being the lattice constant. In the limita → 0 the functionals take on two different forms depending upon the “potential”F[φ] of the lattice Hamiltonian (coupling between different lattice sites not included). IfF[φ] is of a short-range type (see text for definition) the
Hiroshi Ezawa
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A Gentle Introduction to Lattice Field Theory [PDF]
EntropyThe principles of Lattice Field Theory (LFT), in particular Lattice Gauge Theory (LGT), are explained for a nonspecialist audience. We describe some of the successes of the program; we also discuss the relationship between LFT and Quantum Cellular ...
Erhard Seiler
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A new computational approach to lattice quantum field theories [PDF]
Proceedings of The XXVI International Symposium on Lattice Field Theory — PoS(LATTICE 2008), 2008 15 pages, 6 figures; Plenary talk presented at the XXVI International Symposium on Lattice Field Theory, July 14 - 19, 2008, Williamsburg, Virginia ...
Shailesh Chandrasekharan
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Field Theory of Quantum Antiferromagnets : From the Triangular to the Kagome Lattice [PDF]
International Journal of Modern Physics B, 1996 We analyse a family of models, that interpolates between the Triangular lattice antiferromagnet (TLAF) and the Kagome lattice antiferromagnet (KLAF). We identify the field theories governing the low energy, long wavelength physics of these models. Near the TLAF the low energy field theory is a nonlinear sigma model of a SO(3) group valued field.
D. Shubashree, Ravi Shankar
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Nonperturbative Quantum Field Theory on the Lattice
, 1996 These lectures provide an introduction to lattice methods for nonperturbative studies of quantum field theories, with an emphasis on Quantum Chromodynamics. Lecture 1 (Ch. 2): gauge field basics Lecture 2 (Ch. 3): Abelian duality with a lattice regulator (Ch. 4): simple lattice intuition Lecture 3 (Ch.
Thomas DeGrand
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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 ...
Lena Funcke +3 more
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Field theory of Skyrme lattices in quantum Hall ferromagnets [PDF]
Physical Review B, 1998 17 ...
Ramin Abolfath, Mohammad Reza Ejtehadi
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Fractional Quantum Field Theory: From Lattice to Continuum [PDF]
Advances in High Energy Physics, 2014 An approach to formulate fractional field theories on unbounded lattice space-time is suggested. A fractional-order analog of the lattice quantum field theories is considered.
Vasily E. Tarasov
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