Spin Chain with Magnetic Field and Spinning String in Magnetic Field Background

Details Spin Chain with Magnetic Field and Spinning String in Magnetic Field Background Spin Chain with Magnetic Field and Spinning String in Magnetic Field Background

2006-05-24

arxiv.org/abs/hep-th/0605242v5

Phys.Rev. D74 (2006) 027901

Physics

High Energy Physics

High Energy Physics - Theory

Latex 10 pages, add a figure and a section, change title

Scientific paper

10.1103/PhysRevD.74.027901

We analyze the fast-moving string in the magnetic Melvin field background and find that the associated effective Lagrangian of string sigma model describes the spin chain model with external magnetic field. The spin vector in the spin chain has been properly deformed and is living on the deformed two-sphere or deformed two-dimensional hyperboloid, depending on the direction around which the string is spinning. We describe in detail the characters of spin deformation and, in particular, see that this is a general property for a string moving in a class of deformed background.

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