Apparently noninvariant terms of nonlinear sigma models in lattice perturbation theory

Koji Harada, Nozomu Hattori, Hirofumi Kubo, Yuki Yamamoto

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Apparently noninvariant terms (ANTs) that appear in loop diagrams for nonlinear sigma models are revisited in lattice perturbation theory. The calculations have been done mostly with dimensional regularization so far. In order to establish that the existence of ANTs is independent of the regularization scheme, and of the potential ambiguities in the definition of the Jacobian of the change of integration variables from group elements to "pion" fields, we employ lattice regularization, in which everything (including the Jacobian) is well defined. We show explicitly that lattice perturbation theory produces ANTs in the four-point functions of the pion fields at one-loop and the Jacobian does not play an important role in generating ANTs.

Original languageEnglish
Article number065037
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume79
Issue number6
DOIs
Publication statusPublished - Mar 2 2009

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perturbation theory
pions
ambiguity
diagrams

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Apparently noninvariant terms of nonlinear sigma models in lattice perturbation theory. / Harada, Koji; Hattori, Nozomu; Kubo, Hirofumi; Yamamoto, Yuki.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 79, No. 6, 065037, 02.03.2009.

Research output: Contribution to journalArticle

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