Field Theory of Quantum Antiferromagnets : From the Triangular to the Kagome Lattice [PDF]
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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Lattice Quantum Field Theories with Quantum Symmetry
Quantenfeldtheorien in niederen Raum-Zeit-Dimensionen (kleiner als 4) zeigen das Phänomen der Quantensymmetrie, d.h. die globale (Eich-)Symmetrie läßt sich nicht mehr durch eine Gruppe beschreiben, sondern man benötigt allgemeinere allgebraische Objekte wie zum Beispiel Quantengruppen. In dieser Arbeit werden 1+1 dimensionale Gitterquantenfeldtheorien -
Frank Haußer
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Diffusion models as stochastic quantization in lattice field theory [PDF]
In this work, we establish a direct connection between generative diffusion models (DMs) and stochastic quantization (SQ). The DM is realized by approximating the reversal of a stochastic process dictated by the Langevin equation, generating samples from
L. Wang, Gert Aarts, Kai Zhou
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Lattice Integrable Models of Quantum Field Theory [PDF]
V. E. Korepin +2 more
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Krylov complexity in quantum field theory, and beyond [PDF]
We study Krylov complexity in various models of quantum field theory: free massive bosons and fermions on flat space and on spheres, holographic models, and lattice models with a UV-cutoff.
Alexander Avdoshkin +2 more
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Entanglement Hamiltonians: From Field Theory to Lattice Models and Experiments [PDF]
Results about entanglement (or modular) Hamiltonians of quantum many‐body systems in field theory and statistical mechanics models, and recent applications in the context of quantum information and quantum simulation, are reviewed.
M. Dalmonte +3 more
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Implementing the three-particle quantization condition for π + π + K + and related systems
Recently, the formalism needed to relate the finite-volume spectrum of systems of nondegenerate spinless particles has been derived. In this work we discuss a range of issues that arise when implementing this formalism in practice, provide further ...
Tyler D. Blanton +2 more
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Accelerating Lattice Quantum Field Theory Calculations via Interpolator Optimization Using Noisy Intermediate-Scale Quantum Computing. [PDF]
The only known way to study quantum field theories in nonperturbative regimes is using numerical calculations regulated on discrete space-time lattices.
A. Avkhadiev, P. Shanahan, R. Young
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More on the flavor dependence of m ϱ /f π
In previous work, [ arXiv:1905.01909 ], we have calculated the m ϱ /fπ ratio in the chiral and continuum limit for SU(3) gauge theory coupled to N f = 2, 3, 4, 5, 6 fermions in the fundamental representation.
Andrey Yu. Kotov +3 more
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Hyperbolic Lattice for Scalar Field Theory in AdS$_3$ [PDF]
: We construct a tessellation of AdS 3 , by extending the equilateral triangulation of AdS 2 on the Poincar´e disk based on the (2 , 3 , 7) triangle group, suitable for studying strongly coupled phenomena and the AdS/CFT correspondence.
R. Brower, Cameron V. Cogburn, E. Owen
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