◍wovepaper
SearchResearchersInstitutions
Sign in
hep-thDec 1, 1997
12
citations (OpenAlex)
authors
  • M. Hirayama
  • S. Matsubara
institutions
  • University of Toyama
arXiv abstractPDF
paper

Stokes Theorem for Loop Variables of Non-Abelian Gauge Field

arXiv:hep-th/9712120 · doi:10.1143/PTP.99.691

Abstract

A simple analytic proof of the formula known as the non-Abelian Stokes theorem is given. It is explicitly shown that the consistency of the formula is guaranteed by the Bianchi identity for the gauge field. An attempt is made to construct the Lagrangian for the gauge field in terms of loop variables.

PTPTeX, 18 pages, add a reference

Cited by in corpus (11)

  • Field correlators in QCD. Theory and applications
  • Quark confinement: dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang-Mills theory
  • Abelian Magnetic Monopole Dominance in Quark Confinement
  • Gauge-invariant gluon mass, infrared Abelian dominance and stability of magnetic vacuum
  • Product Integral Formalism and Non-Abelian Stokes Theorem
  • Non-Abelian Berry phase for open quantum systems: Topological protection vs geometric dephasing
  • Quantization of Lorentzian 3d Gravity by Partial Gauge Fixing
  • Non-Abelian Stokes theorem for the Wilson loop operator in an arbitrary representation and its implication to quark confinement
  • On Non-Abelian Holonomies
  • Zig Zag symmetry in AdS/CFT duality
  • Worldline Casting of the Stochastic Vacuum Model and Non-Perturbative Properties of QCD: General Formalism and Applications
◍wovepaper

Papers, researchers and institutions, woven together.

Explore
  • Search
  • Researchers
  • Institutions
Account
  • Library
  • Chat
Data
  • arXiv.org
  • Semantic Scholar
  • OpenAlex
  • Latest RSS
AboutContactPrivacyDevelopersllms.txtopenapi.json
Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.