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Title: Examples of symmetry-preserving truncations in tensor field theory

Journal Article · · Physical Review. D.

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.

Research Organization:
Univ. of Iowa, Iowa City, IA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0010113; SC0019139
OSTI ID:
1532789
Alternate ID(s):
OSTI ID: 1611360
Journal Information:
Physical Review. D., Journal Name: Physical Review. D. Vol. 100 Journal Issue: 1; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 8 works
Citation information provided by
Web of Science

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTRONOMY AND ASTROPHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Astronomy & Astrophysics
Physics