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Title: 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:
 [1];  [2]
  1. Northwestern Univ., Evanston, IL (United States); Wigner Research Center for Physicas of the HAS, Budapest (Hungary)
  2. 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}
}

Journal Article:
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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