Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-11-23
JHEP 1102:085,2011
Physics
High Energy Physics
High Energy Physics - Theory
35 pages, 27 figures; fixed typos, added reference, minor structural changes and re-phrasings, final version to be published i
Scientific paper
10.1007/JHEP02(2011)085
We study a defect system of two parallel D5 probe branes in a large-N_c D3 background. Using the non-abelian DBI action, we study three different fields that can give rise to a superconducting phase transition: A vector (p-wave), a scalar corresponding to a non-trivial "separation"' of the branes in the (3+1) field theory directions and a scalar corresponding to a separation in the "internal" S^5 (both s-wave). Comparing these phases first in the \alpha'^2 expansion, we find that the internal scalar has the largest critical temperature and is always thermodynamically preferred. Further, there is an interesting attractor behavior. Taking a simplified version of the full DBI action that preserves its regularity and geometry, we find that the divergences of the \alpha'^2 expansion are resolved and some second order transitions turn into first order ones. In addition to some other changes of the phase diagram due to the structure of the DBI action, we observe that the ground state degeneracy of the unbroken theory is lifted. We also isolate the unphysical artifacts of our simplification.
Lee Bum-Hoon
Wapler Matthias C.
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