Statistical mechanics of vortices from D-branes and T-duality

Minoru Eto, Toshiaki Fujimori, Muneto Nitta, Keisuke Ohashi, Kazutoshi Ohta, Norisuke Sakai

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

We propose a novel and simple method to compute the partition function of statistical mechanics of local and semi-local BPS vortices in the Abelian-Higgs model and its non-Abelian extension on a torus. We use a D-brane realization of the vortices and T-duality relation to domain walls. We use a special limit where domain walls reduce to gas of hard (soft) one-dimensional rods for Abelian (non-Abelian) cases. In the simpler cases of the Abelian-Higgs model on a torus, our results agree with exact results which are geometrically derived by an explicit integration over the moduli space of vortices. The equation of state for U (N) gauge theory deviates from van der Waals one, and the second virial coefficient is proportional to 1 / sqrt(N), implying that non-Abelian vortices are "softer" than Abelian vortices. Vortices on a sphere are also briefly discussed.

Original languageEnglish
Pages (from-to)120-136
Number of pages17
JournalNuclear Physics B
Volume788
Issue number3
DOIs
Publication statusPublished - 2008 Jan 14

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statistical mechanics
vortices
domain wall
virial coefficients
gauge theory
partitions
equations of state
rods
gases

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Statistical mechanics of vortices from D-branes and T-duality. / Eto, Minoru; Fujimori, Toshiaki; Nitta, Muneto; Ohashi, Keisuke; Ohta, Kazutoshi; Sakai, Norisuke.

In: Nuclear Physics B, Vol. 788, No. 3, 14.01.2008, p. 120-136.

Research output: Contribution to journalArticle

Eto, Minoru ; Fujimori, Toshiaki ; Nitta, Muneto ; Ohashi, Keisuke ; Ohta, Kazutoshi ; Sakai, Norisuke. / Statistical mechanics of vortices from D-branes and T-duality. In: Nuclear Physics B. 2008 ; Vol. 788, No. 3. pp. 120-136.
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