Zero-dimensional analogue of the global gauge anomaly

Hiroto So, Hiroshi Suzuki

Research output: Contribution to journalArticle

Abstract

A zero-dimensional analogue of Witten's global gauge anomaly is considered. For example, a zero-dimensional reduction of the two-dimensional SO(2N) Yang-Mills theory with a single Majorana-Weyl fermion in the fundamental representation suffers from this anomaly. Another example is a zero-dimensional reduction of two- and three-dimensional SU(2NC) Yang-Mills theories which couple to a single Majorana fermion in the adjoint representation. In this case, any expectation value is either indeterminate or infinite.

Original languageEnglish
Pages (from-to)467-471
Number of pages5
JournalProgress of Theoretical Physics
Volume115
Issue number2
DOIs
Publication statusPublished - Feb 1 2006
Externally publishedYes

Fingerprint

Yang-Mills theory
fermions
analogs
anomalies

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Cite this

Zero-dimensional analogue of the global gauge anomaly. / So, Hiroto; Suzuki, Hiroshi.

In: Progress of Theoretical Physics, Vol. 115, No. 2, 01.02.2006, p. 467-471.

Research output: Contribution to journalArticle

@article{267bfdaeb62c46149493f6a0f96a9a9a,
title = "Zero-dimensional analogue of the global gauge anomaly",
abstract = "A zero-dimensional analogue of Witten's global gauge anomaly is considered. For example, a zero-dimensional reduction of the two-dimensional SO(2N) Yang-Mills theory with a single Majorana-Weyl fermion in the fundamental representation suffers from this anomaly. Another example is a zero-dimensional reduction of two- and three-dimensional SU(2NC) Yang-Mills theories which couple to a single Majorana fermion in the adjoint representation. In this case, any expectation value is either indeterminate or infinite.",
author = "Hiroto So and Hiroshi Suzuki",
year = "2006",
month = "2",
day = "1",
doi = "10.1143/PTP.115.467",
language = "English",
volume = "115",
pages = "467--471",
journal = "Progress of Theoretical Physics",
issn = "0033-068X",
publisher = "Published for the Research Institute for Fundamental Physics by Physical Society of Japan",
number = "2",

}

TY - JOUR

T1 - Zero-dimensional analogue of the global gauge anomaly

AU - So, Hiroto

AU - Suzuki, Hiroshi

PY - 2006/2/1

Y1 - 2006/2/1

N2 - A zero-dimensional analogue of Witten's global gauge anomaly is considered. For example, a zero-dimensional reduction of the two-dimensional SO(2N) Yang-Mills theory with a single Majorana-Weyl fermion in the fundamental representation suffers from this anomaly. Another example is a zero-dimensional reduction of two- and three-dimensional SU(2NC) Yang-Mills theories which couple to a single Majorana fermion in the adjoint representation. In this case, any expectation value is either indeterminate or infinite.

AB - A zero-dimensional analogue of Witten's global gauge anomaly is considered. For example, a zero-dimensional reduction of the two-dimensional SO(2N) Yang-Mills theory with a single Majorana-Weyl fermion in the fundamental representation suffers from this anomaly. Another example is a zero-dimensional reduction of two- and three-dimensional SU(2NC) Yang-Mills theories which couple to a single Majorana fermion in the adjoint representation. In this case, any expectation value is either indeterminate or infinite.

UR - http://www.scopus.com/inward/record.url?scp=33646418710&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33646418710&partnerID=8YFLogxK

U2 - 10.1143/PTP.115.467

DO - 10.1143/PTP.115.467

M3 - Article

AN - SCOPUS:33646418710

VL - 115

SP - 467

EP - 471

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

SN - 0033-068X

IS - 2

ER -