Non-Abelian moduli on domain walls

Evgeniy Kurianovych; M. Shifman

doi:10.1142/S0217751X14501930

Non-Abelian moduli on domain walls

Evgeniy Kurianovych, M. Shifman

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We study a simple model supporting domain walls which possess two orientational moduli in addition to the conventional translational modulus. This model is conceptually close to Witten's cosmic strings. We observe an O(3) sigma model on the wall worldvolume in the low-energy limit. We solve (numerically) classical static equations of motion and find the wall profile functions and the value of the coupling of the O(3) model in terms of the bulk parameters. In the second part a term describing a spin-orbit interaction in the bulk is added, which gives rise to an entanglement between rotational and translational moduli. The corresponding extra term in the low-energy Lagrangian is calculated.

Original language	English (US)
Article number	1450193
Journal	International Journal of Modern Physics A
Volume	29
Issue number	32
DOIs	https://doi.org/10.1142/S0217751X14501930
State	Published - Dec 30 2014

Bibliographical note

Funding Information:
The work of M. Shifman is supported in part by DOE grant DE-SC0011842. Kind hospitality and support extended to M. Shifman during his stay at IHES is acknowledged.

Publisher Copyright:
© 2014 World Scientific Publishing Company.

Keywords

Domain walls
non-Abelian moduli
non-perturbative field theory

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10.1142/S0217751X14501930

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abstract = "We study a simple model supporting domain walls which possess two orientational moduli in addition to the conventional translational modulus. This model is conceptually close to Witten's cosmic strings. We observe an O(3) sigma model on the wall worldvolume in the low-energy limit. We solve (numerically) classical static equations of motion and find the wall profile functions and the value of the coupling of the O(3) model in terms of the bulk parameters. In the second part a term describing a spin-orbit interaction in the bulk is added, which gives rise to an entanglement between rotational and translational moduli. The corresponding extra term in the low-energy Lagrangian is calculated.",

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AB - We study a simple model supporting domain walls which possess two orientational moduli in addition to the conventional translational modulus. This model is conceptually close to Witten's cosmic strings. We observe an O(3) sigma model on the wall worldvolume in the low-energy limit. We solve (numerically) classical static equations of motion and find the wall profile functions and the value of the coupling of the O(3) model in terms of the bulk parameters. In the second part a term describing a spin-orbit interaction in the bulk is added, which gives rise to an entanglement between rotational and translational moduli. The corresponding extra term in the low-energy Lagrangian is calculated.

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KW - non-perturbative field theory

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Non-Abelian moduli on domain walls

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