Instantons in Lifshitz field theories

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Abstract: BPS instantons are discussed in Lifshitz-type anisotropic field theories. We consider generalizations of the sigma model/Yang-Mills instantons in renormalizable higher dimensional models with the classical Lifshitz scaling invariance. In each model, BPS instanton equation takes the form of the gradient flow equations for “the superpotential” defining “the detailed balance condition”. The anisotropic Weyl rescaling and the coset space dimensional reduction are used to map rotationally symmetric instantons to vortices in two-dimensional anisotropic systems on the hyperbolic plane. As examples, we study anisotropic BPS baby Skyrmion 1+1 dimensions and BPS Skyrmion in 2+1 dimensions, for which we take Kähler 1-form and the Wess-Zumiono-Witten term as the superpotentials, respectively, and an anisotropic generalized Yang-Mills instanton in 4 + 1 dimensions, for which we take the Chern-Simons term as the superpotential.

Original languageEnglish
Article number21
JournalJournal of High Energy Physics
Volume2015
Issue number10
DOIs
Publication statusPublished - 2015 Oct 1

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instantons
flow equations
invariance
vortices
scaling
gradients

Keywords

  • Nonperturbative Effects
  • Sigma Models
  • Solitons Monopoles and Instantons
  • Space-Time Symmetries

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Instantons in Lifshitz field theories. / Fujimori, Toshiaki; Nitta, Muneto.

In: Journal of High Energy Physics, Vol. 2015, No. 10, 21, 01.10.2015.

Research output: Contribution to journalArticle

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AB - Abstract: BPS instantons are discussed in Lifshitz-type anisotropic field theories. We consider generalizations of the sigma model/Yang-Mills instantons in renormalizable higher dimensional models with the classical Lifshitz scaling invariance. In each model, BPS instanton equation takes the form of the gradient flow equations for “the superpotential” defining “the detailed balance condition”. The anisotropic Weyl rescaling and the coset space dimensional reduction are used to map rotationally symmetric instantons to vortices in two-dimensional anisotropic systems on the hyperbolic plane. As examples, we study anisotropic BPS baby Skyrmion 1+1 dimensions and BPS Skyrmion in 2+1 dimensions, for which we take Kähler 1-form and the Wess-Zumiono-Witten term as the superpotentials, respectively, and an anisotropic generalized Yang-Mills instanton in 4 + 1 dimensions, for which we take the Chern-Simons term as the superpotential.

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