Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-11-11
Physics
High Energy Physics
High Energy Physics - Theory
19 pages (plus appendices) and 3 figures. v2 has extra references and minor corrections
Scientific paper
We study classical and quantum finite-size corrections to giant magnons in AdS_4 x CP^3 using generalised L\"uscher formulae. L\"uscher F-terms are organised in powers of the exponential suppression factor exp(-Delta/2h)^m, and we calculate the second (m=2, or 'NLO') term in this series, matching a result of our previous paper arXiv:1006.2174. The structure of this term is different to that in AdS_5 x S^5 thanks to the appearance of heavy modes in the loop, which can here be interpreted as bound states in the mirror theory. By contrast, physical bound states give us corrections to dyonic giant magnons, and we calculate F-terms for these, up to m=2 . L\"uscher mu-terms, suppressed by exp(-Delta/E), instead give at leading order the classical finite-size correction. For an elementary dyonic giant magnon, we recover the correction given by arXiv:0903.3365. We then extend this to calculate the next term in 1/h, giving a one-loop prediction. Finally we also calculate F-terms (up to m=2) for the various composite giant magnons, RP^3 and 'big'.
Abbott Michael C.
Aniceto Inês
Bombardelli Diego
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