# Examples of symmetry-preserving truncations in tensor field theory

## 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.

- Authors:

- Publication Date:

- Research Org.:
- Univ. of Iowa, Iowa City, IA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1532789

- Alternate Identifier(s):
- OSTI ID: 1611360

- Grant/Contract Number:
- SC0010113; SC0019139

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 1; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Astronomy & Astrophysics; Physics

### Citation Formats

```
Meurice, Yannick. Examples of symmetry-preserving truncations in tensor field theory. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.100.014506.
```

```
Meurice, Yannick. Examples of symmetry-preserving truncations in tensor field theory. United States. doi:10.1103/PhysRevD.100.014506.
```

```
Meurice, Yannick. Wed .
"Examples of symmetry-preserving truncations in tensor field theory". United States. doi:10.1103/PhysRevD.100.014506.
```

```
@article{osti_1532789,
```

title = {Examples of symmetry-preserving truncations in tensor field theory},

author = {Meurice, Yannick},

abstractNote = {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.},

doi = {10.1103/PhysRevD.100.014506},

journal = {Physical Review D},

number = 1,

volume = 100,

place = {United States},

year = {2019},

month = {7}

}

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DOI: 10.1103/PhysRevD.100.014506

DOI: 10.1103/PhysRevD.100.014506

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Cited by: 3 works

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