Chiral perturbation theory with tensor sources

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We construct the most general chirally-invariant Lagrangian for mesons in the presence of external sources coupled to the tensor current \bar psi sigma_mu nu psi. In order to have only even terms in the chiral expansion, we consider the new source of O(p2). With this choice, we build the even-parity effective Lagrangian up to the p6-order (NLO). While there are only 4 new terms at the p4-order, at p6-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 ... continued below

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Cata, Oscar; Cata, Oscar & Mateu, Vicent May 21, 2007.

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We construct the most general chirally-invariant Lagrangian for mesons in the presence of external sources coupled to the tensor current \bar psi sigma_mu nu psi. In order to have only even terms in the chiral expansion, we consider the new source of O(p2). With this choice, we build the even-parity effective Lagrangian up to the p6-order (NLO). While there are only 4 new terms at the p4-order, at p6-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 p8-order (NNLO).

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21

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  • Journal Name: Journal of HIgh Energy Physics; Journal Volume: 2007; Journal Issue: 09; Related Information: Journal Publication Date: 19 September 2007

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  • Report No.: LBNL-396E
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 934486
  • Archival Resource Key: ark:/67531/metadc895084

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  • May 21, 2007

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  • Sept. 27, 2016, 1:39 a.m.

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  • Sept. 30, 2016, 7:22 p.m.

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Cata, Oscar; Cata, Oscar & Mateu, Vicent. Chiral perturbation theory with tensor sources, article, May 21, 2007; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc895084/: accessed September 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.