# Loop equations and bootstrap methods in the lattice

## Abstract

Pure gauge theories can be formulated in terms of Wilson Loops by means of the loop equation. In the large-N limit this equation closes in the expectation value of single loops. In particular, using the lattice as a regulator, it becomes a well defined equation for a discrete set of loops. In this paper we study different numerical approaches to solving this equation.

- Authors:

- Northwestern Univ., Evanston, IL (United States); Wigner Research Center for Physicas of the HAS, Budapest (Hungary)
- Northwestern Univ., Evanston, IL (United States)

- Publication Date:

- Research Org.:
- Purdue Univ., West Lafayette, IN (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1365593

- Alternate Identifier(s):
- OSTI ID: 1425890

- Grant/Contract Number:
- SC0007901; SC0007884

- Resource Type:
- Journal Article: Published Article

- Journal Name:
- Nuclear Physics. B

- Additional Journal Information:
- Journal Volume: 921; Journal Issue: C; Journal ID: ISSN 0550-3213

- Publisher:
- Elsevier

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

### Citation Formats

```
Anderson, Peter D., and Kruczenski, Martin.
```*Loop equations and bootstrap methods in the lattice*. United States: N. p., 2017.
Web. doi:10.1016/j.nuclphysb.2017.06.009.

```
Anderson, Peter D., & Kruczenski, Martin.
```*Loop equations and bootstrap methods in the lattice*. United States. doi:10.1016/j.nuclphysb.2017.06.009.

```
Anderson, Peter D., and Kruczenski, Martin. Sat .
"Loop equations and bootstrap methods in the lattice". United States.
doi:10.1016/j.nuclphysb.2017.06.009.
```

```
@article{osti_1365593,
```

title = {Loop equations and bootstrap methods in the lattice},

author = {Anderson, Peter D. and Kruczenski, Martin},

abstractNote = {Pure gauge theories can be formulated in terms of Wilson Loops by means of the loop equation. In the large-N limit this equation closes in the expectation value of single loops. In particular, using the lattice as a regulator, it becomes a well defined equation for a discrete set of loops. In this paper we study different numerical approaches to solving this equation.},

doi = {10.1016/j.nuclphysb.2017.06.009},

journal = {Nuclear Physics. B},

number = C,

volume = 921,

place = {United States},

year = {Sat Jun 17 00:00:00 EDT 2017},

month = {Sat Jun 17 00:00:00 EDT 2017}

}

Free Publicly Available Full Text

Publisher's Version of Record at 10.1016/j.nuclphysb.2017.06.009

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Cited by: 1work

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