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Examples of symmetry-preserving truncations in tensor field theory
Journal article   Open access   Peer reviewed

Examples of symmetry-preserving truncations in tensor field theory

Yannick Meurice
Physical review. D, Vol.100(1), 014506
07/10/2019
DOI: 10.1103/PhysRevD.100.014506
url
https://doi.org/10.1103/PhysRevD.100.014506View
Published (Version of record) Open Access

Abstract

We consider the tensor formulation of the nonlinear O(2) sigma model and its gauged version (the compact Abelian Higgs model), on a D-dimensional cubic lattice, and show that tensorial truncations are compatible with the general identities derived from the symmetries of these models. This means that the universal properties of these models can be reproduced with highly simplified formulations desirable for implementations with quantum computers or for quantum simulations experiments. We discuss the extensions to global non-Abelian symmetries, discrete symmetries and pure gauge Abelian models.
Physical Sciences Physics Astronomy & Astrophysics Physics, Particles & Fields Science & Technology

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