Abstract
We consider a holographic model of dynamical symmetry breaking in 2+1 dimensions, where a parallel D7–anti-D7 brane pair fuse into a single object, corresponding to the U(1)×U(1)→U(1) symmetry breaking pattern. We show that the current–current correlation functions can be computed analytically and exhibit the low momentum structure that is expected when global symmetries are spontaneously broken. We also find that these correlation functions have poles attributable to infinite towers of vector mesons with equally spaced masses.
Highlights
We consider a holographic model of dynamical symmetry breaking in 2+1-dimenisons, where a parallel D7-anti-D7 brane pair fuse into a single object, corresponding to the U (1) × U (1) → U (1) symmetry breaking pattern
String theory holography has given an alternative picture of dynamical symmetry breaking in terms of geometry
There, chiral symmetry breaking corresponds to the fact that a D8-D8 brane pair prefer to fuse into a cigar-like geometry, rather than remaining in a more symmetric independent configuration
Summary
We consider a holographic model of dynamical symmetry breaking in 2+1-dimenisons, where a parallel D7-anti-D7 brane pair fuse into a single object, corresponding to the U (1) × U (1) → U (1) symmetry breaking pattern. In weakly coupled quantum field theory, spontaneous symmetry breaking is a familiar paradigm. It can be considered a toy model of chiral symmetry breaking in strongly coupled 2+1dimensional quantum field theories containing fermions and it is explicitly solvable.
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