Brane-worlds and theta-vacua

Details Brane-worlds and theta-vacua Brane-worlds and theta-vacua

2004-12-27

arxiv.org/abs/hep-th/0412306v1

Phys.Rev. D71 (2005) 104024

Physics

High Energy Physics

High Energy Physics - Theory

44 pages, 4 figures

Scientific paper

10.1103/PhysRevD.71.104024

Reductions from odd to even dimensionalities ($5\to 4$ or $3\to 2$), for which the effective low-energy theory contains chiral fermions, present us with a mismatch between ultraviolet and infrared anomalies. This applies to both local (gauge) and global currents; here we consider the latter case. We show that the mismatch can be explained by taking into account a change in the spectral asymmetry of the massive modes--an odd-dimensional analog of the phenomenon described by the Atiyah-Patodi-Singer theorem in even dimensionalities. The result has phenomenological implications: we present a scenario in which a QCD-like $\theta$-angle relaxes to zero on a certain (possibly, cosmological) timescale, despite the absence of any light axion-like particle.

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