Truncation of lattice N = 4 super Yang-Mills

Joel Giedt, Simon M Catterall, Raghav Govind Jha

Research output: Contribution to journalConference article

1 Citation (Scopus)

Abstract

In twisted and orbifold formulations of lattice N = 4 super Yang-Mills, the gauge group is necessarily U(1) × SU(N), in order to be consistent with the exact scalar supersymmetry Q. In the classical continuum limit of the theory, where one expands the link fields around a point in the moduli space and sends the lattice spacing to zero, the diagonal U(1) modes decouple from the SU(N) sector, and give an uninteresting free theory. However, lattice artifacts (described by irrelevant operators according to naive power-counting) couple the two sectors, so removing the U(1) modes is a delicate issue. We describe how this truncation to an SU(N) gauge theory can be obtained in a systematic way, with violations of Q that fall off as powers of 1=N2. We are able to achieve this while retaining exact SU(N) lattice gauge symmetry at all N, and provide both theoretical arguments and numerical evidence for the 1=N2 suppression of Q violation.

Original languageEnglish (US)
Article number11008
JournalEPJ Web of Conferences
Volume175
DOIs
StatePublished - Mar 26 2018
Event35th International Symposium on Lattice Field Theory, Lattice 2017 - Granada, Spain
Duration: Jun 18 2017Jun 24 2017

Fingerprint

approximation
sectors
retaining
supersymmetry
artifacts
gauge theory
counting
spacing
retarding
scalars
continuums
formulations
operators
symmetry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Truncation of lattice N = 4 super Yang-Mills. / Giedt, Joel; Catterall, Simon M; Jha, Raghav Govind.

In: EPJ Web of Conferences, Vol. 175, 11008, 26.03.2018.

Research output: Contribution to journalConference article

Giedt, Joel ; Catterall, Simon M ; Jha, Raghav Govind. / Truncation of lattice N = 4 super Yang-Mills. In: EPJ Web of Conferences. 2018 ; Vol. 175.
@article{59764c09b6e743478ca840b138f969e0,
title = "Truncation of lattice N = 4 super Yang-Mills",
abstract = "In twisted and orbifold formulations of lattice N = 4 super Yang-Mills, the gauge group is necessarily U(1) × SU(N), in order to be consistent with the exact scalar supersymmetry Q. In the classical continuum limit of the theory, where one expands the link fields around a point in the moduli space and sends the lattice spacing to zero, the diagonal U(1) modes decouple from the SU(N) sector, and give an uninteresting free theory. However, lattice artifacts (described by irrelevant operators according to naive power-counting) couple the two sectors, so removing the U(1) modes is a delicate issue. We describe how this truncation to an SU(N) gauge theory can be obtained in a systematic way, with violations of Q that fall off as powers of 1=N2. We are able to achieve this while retaining exact SU(N) lattice gauge symmetry at all N, and provide both theoretical arguments and numerical evidence for the 1=N2 suppression of Q violation.",
author = "Joel Giedt and Catterall, {Simon M} and Jha, {Raghav Govind}",
year = "2018",
month = "3",
day = "26",
doi = "10.1051/epjconf/201817511008",
language = "English (US)",
volume = "175",
journal = "EPJ Web of Conferences",
issn = "2101-6275",
publisher = "EDP Sciences",

}

TY - JOUR

T1 - Truncation of lattice N = 4 super Yang-Mills

AU - Giedt, Joel

AU - Catterall, Simon M

AU - Jha, Raghav Govind

PY - 2018/3/26

Y1 - 2018/3/26

N2 - In twisted and orbifold formulations of lattice N = 4 super Yang-Mills, the gauge group is necessarily U(1) × SU(N), in order to be consistent with the exact scalar supersymmetry Q. In the classical continuum limit of the theory, where one expands the link fields around a point in the moduli space and sends the lattice spacing to zero, the diagonal U(1) modes decouple from the SU(N) sector, and give an uninteresting free theory. However, lattice artifacts (described by irrelevant operators according to naive power-counting) couple the two sectors, so removing the U(1) modes is a delicate issue. We describe how this truncation to an SU(N) gauge theory can be obtained in a systematic way, with violations of Q that fall off as powers of 1=N2. We are able to achieve this while retaining exact SU(N) lattice gauge symmetry at all N, and provide both theoretical arguments and numerical evidence for the 1=N2 suppression of Q violation.

AB - In twisted and orbifold formulations of lattice N = 4 super Yang-Mills, the gauge group is necessarily U(1) × SU(N), in order to be consistent with the exact scalar supersymmetry Q. In the classical continuum limit of the theory, where one expands the link fields around a point in the moduli space and sends the lattice spacing to zero, the diagonal U(1) modes decouple from the SU(N) sector, and give an uninteresting free theory. However, lattice artifacts (described by irrelevant operators according to naive power-counting) couple the two sectors, so removing the U(1) modes is a delicate issue. We describe how this truncation to an SU(N) gauge theory can be obtained in a systematic way, with violations of Q that fall off as powers of 1=N2. We are able to achieve this while retaining exact SU(N) lattice gauge symmetry at all N, and provide both theoretical arguments and numerical evidence for the 1=N2 suppression of Q violation.

UR - http://www.scopus.com/inward/record.url?scp=85045155828&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85045155828&partnerID=8YFLogxK

U2 - 10.1051/epjconf/201817511008

DO - 10.1051/epjconf/201817511008

M3 - Conference article

AN - SCOPUS:85045155828

VL - 175

JO - EPJ Web of Conferences

JF - EPJ Web of Conferences

SN - 2101-6275

M1 - 11008

ER -