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Chiral perturbation theory with tensor sources

AuthorsCatà, Óscar ; Mathieu, Vincent
KeywordsChiral Lagrangians
Spontaneous Symmetry Breaking
Nonperturbative Effects
Issue Date19-Sep-2007
PublisherInternational School for Advanced Studies
Institute of Physics Publishing
CitationJournal of High Energy Physics 9: 078 (2007)
AbstractWe construct the most general chirally invariant Lagrangian for mesons in the presence of external sources coupled to the tensor current Ψ over-bar σ(μv) Ψ. In order to have only even terms in the chiral expansion, we consider the new source of O(p^2). With this choice, we build the even-parity effective Lagrangian up to the p^6-order (NLO). While there are only 4 new terms at the p^4-order, at p^6-order we find 78 terms for n(f) = 2 and 113 terms for n(f) = 3. We provide a detailed discussion on the different mechanisms that ensure that our final set of operators is complete and non-redundant. We also examine the odd-parity sector, to conclude that the first operators appear at the p^8-order (NNLO).
Description23 pages, 1 figure.-- ISI Article Identifier: 000249788800051.-- ArXiv pre-print available at: http://arxiv.org/abs/0705.2948
Publisher version (URL)http://dx.doi.org/10.1088/1126-6708/2007/09/078
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