Effective gauge theories on domain walls via bulk confinement?

Laine M, Meyer HB, Rummukainen K, Shaposhnikov M (2004)
JOURNAL OF HIGH ENERGY PHYSICS 2004(04).

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We study with lattice techniques the localisation of gauge fields on domain wall defects in 2+1 dimensions, following a scenario originally proposed by Dvali and Shilman for 3+1 dimensions, based on confining dynamics in the bulk. We find that a localised gauge zero-mode does exist, if the domain wall is wide enough compared with the confinement scale in the bulk. The range of applicability of the corresponding low-energy effective theory is determined by the mass gap to the higher modes. For a wide domain wall, this mass gap is set by "Kaluza-Klein modes" as determined by the width. It is pointed out that in this regime the dynamical energy scales generated by the interactions of the localised zero-modes are in fact higher than the mass gap. Therefore, at least in 2+1 dimensions, the zero-modes alone do not form a low-energy effective gauge theory of a traditional type. Finally, we discuss how the situation is expected to change in going to 3+1 dimensions.
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Laine M, Meyer HB, Rummukainen K, Shaposhnikov M. Effective gauge theories on domain walls via bulk confinement? JOURNAL OF HIGH ENERGY PHYSICS. 2004;2004(04).
Laine, M., Meyer, H. B., Rummukainen, K., & Shaposhnikov, M. (2004). Effective gauge theories on domain walls via bulk confinement? JOURNAL OF HIGH ENERGY PHYSICS, 2004(04).
Laine, M., Meyer, H. B., Rummukainen, K., and Shaposhnikov, M. (2004). Effective gauge theories on domain walls via bulk confinement? JOURNAL OF HIGH ENERGY PHYSICS 2004.
Laine, M., et al., 2004. Effective gauge theories on domain walls via bulk confinement? JOURNAL OF HIGH ENERGY PHYSICS, 2004(04).
M. Laine, et al., “Effective gauge theories on domain walls via bulk confinement?”, JOURNAL OF HIGH ENERGY PHYSICS, vol. 2004, 2004.
Laine, M., Meyer, H.B., Rummukainen, K., Shaposhnikov, M.: Effective gauge theories on domain walls via bulk confinement? JOURNAL OF HIGH ENERGY PHYSICS. 2004, (2004).
Laine, Mikko, Meyer, HB, Rummukainen, K, and Shaposhnikov, M. “Effective gauge theories on domain walls via bulk confinement?”. JOURNAL OF HIGH ENERGY PHYSICS 2004.04 (2004).
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