Quark Schwinger-Dyson evaluation of the l(1),l(2) coefficients in the chiral Lagrangian
dc.contributor.author | Llanes Estrada, Felipe José | |
dc.contributor.author | Bicudo, PD | |
dc.date.accessioned | 2023-06-20T18:52:07Z | |
dc.date.available | 2023-06-20T18:52:07Z | |
dc.date.issued | 2003 | |
dc.description | © 2003 The American Physical Society. The authors acknowledge useful discussions with S. Cotanch, F. Kleefeld, B. Hiller, P. Maris, J. R. Pelaez, A. Dobado, A. Gomez Nicola, and specially E. Ribeiro. This work was partially supported by Univ. Complutense on a travel grant, and by grants FPA 2000-0956 and BFM 2002-01003 (Spain), F.J.L.-E. is thankful for the hospitality and scholarly atmosphere at IST Lisbon. | |
dc.description.abstract | Using a systematic expansion of the quark-antiquark Bethe Salpeter wave functions in the relativistic quark model and working to O(P-4) in the chiral limit, we are able to derive theoretical expressions relating the coefficients of the chiral Lagrangian l(1),l(2) to the underlying quark-antiquark wave functions and interaction kernels. This is accomplished by using a novel technique based on a Ward identity for the quark-antiquark ladder kernel which greatly simplifies the required effort. Numerical evaluations are performed in two simple specific models. | |
dc.description.department | Depto. de Física Teórica | |
dc.description.faculty | Fac. de Ciencias Físicas | |
dc.description.refereed | TRUE | |
dc.description.sponsorship | Univ. Complutense | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/23372 | |
dc.identifier.doi | 10.1103/PhysRevD.68.094014 | |
dc.identifier.issn | 0556-2821 | |
dc.identifier.officialurl | http://dx.doi.org/10.1103/PhysRevD.68.094014 | |
dc.identifier.relatedurl | http://prd.aps.org | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/58813 | |
dc.issue.number | 9 | |
dc.journal.title | Physical Review D | |
dc.language.iso | eng | |
dc.publisher | American Physical Soc | |
dc.relation.projectID | FPA 2000-0956 | |
dc.relation.projectID | BFM 2002-01003 | |
dc.rights.accessRights | open access | |
dc.subject.cdu | 53 | |
dc.subject.keyword | P-3(0) Condensed Vacuum | |
dc.subject.keyword | Perturbation-Theory | |
dc.subject.keyword | Symmetry | |
dc.subject.keyword | Model | |
dc.subject.keyword | Qcd | |
dc.subject.keyword | Mesons | |
dc.subject.keyword | Scattering | |
dc.subject.keyword | Resonances | |
dc.subject.keyword | Expansion | |
dc.subject.keyword | Breaking | |
dc.subject.ucm | Física (Física) | |
dc.subject.unesco | 22 Física | |
dc.title | Quark Schwinger-Dyson evaluation of the l(1),l(2) coefficients in the chiral Lagrangian | |
dc.type | journal article | |
dc.volume.number | 68 | |
dcterms.references | [1] Fritz London, Z. Phys. 63, 245 (1930). [2] M.M. Nagels, T.A. Rijken, and J.J. de Swart, Phys. Rev. D 17, 768 (1978). [3] R.B. Wiringa, V.G.J. Stoks, and R. Schiavilla, Phys. Rev. C 51, 38 (1995). [4] J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984); Nucl. Phys. B250, 465 (1985). [5] B. Renner, Current Algebras and Their Applications ~Pergamon, Oxford,(1968). [6] J.A. Oller, E. Oset, and J.R. Pelaez, Phys. Rev. D 59, 074001 (1999); Phys. Rev. Lett. 80, 3452 (1998); A. Gomez Nicola and J.R. Pelaez, Phys. Rev. D 65, 054009 (2002). [7] P. Maris and C.D. Roberts, Phys. Rev. C 56, 3369 (1997); P. Maris, C.D. Roberts, and P.C. Tandy, Phys. Lett. B 420, 267 (1998). [8] J. Alfaro, A. Dobado, and D. Espriu, Phys. Lett. B 460, 447 (1999). [9] J. Bijnens, C. Bruno, and E. de Rafael, Nucl. Phys. B390, 501 (1993); E. Ruiz Arriola, Phys. Lett. B 253, 430 (1991). [10] A.A. Andrianov, Phys. Lett. 157B, 425 (1985). [11] D.R. Nelson, G.T. Fleming, and G.W. Kilcup, Phys. Rev. Lett. 90, 021601 (2003). [12] C.D. Roberts et al., Phys. Rev. D 49, 125 (1994); see also C.D. Roberts, R.T. Cahill, and J. Praschifka, Ann. Phys. ~N.Y.! 188, 20 (1988). [13] P. de A. Bicudo et al., Phys. Rev. D 65, 076008 (2002). [14] P. Bicudo, Phys. Rev. C 67, 035201 (2003); in Quark Confinement and the Hadron Spectrum V, edited by N. Brambilla and G. Prosperi ~World Scientific, Singapore, (2002), nucl-th/0110052. [15] S.R. Cotanch and P. Maris, Phys. Rev. D 66, 116010 (2002). [16] H. Lehman, Phys. Lett. 41B, 529 (1972); Acta Phys. Austriaca, Suppl. 11, 139 (1973). [17] P. de A. Bicudo and J.E.F.T. Ribeiro, Phys. Rev. D 42, 1611 (1990); 42, 1625 (1990); 42, 1635 (1990). [18] A. Le Yaouanc et al., Phys. Rev. D 31, 137 (1985). [19] Y. Dai, C. Huang, and D. Liu, Phys. Rev. D 43, 1717 (1991); J.E. Villate et al., ibid. 47, 1145 (1993). [20] R. Delbourgo and M.D. Scadron, J. Phys. G 5, 1621 (1979). [21] G. Ecker, J. Gasser, A. Pich, and E. de Rafael, Nucl. Phys. B321, 311 (1989); J.J. Sanz-Cillero and A. Pich, hep-ph/0208199. [22] J.A.M. Vermaseren, ‘‘New Features of Form,’’ math-ph/0010025. [23] R. Alkofer, P. Watson, and H. Weigel, Phys. Rev. D 65, 094026 (2002). [24] F.J. Llanes-Estrada and S.R. Cotanch, Nucl. Phys. A697, 303 (2002); Phys. Rev. Lett. 84, 1102 (2000). [25] M.R. Pennington and J. Portole´s, Phys. Lett. B 344, 399 (1995). [26] J. Bijnens, G. Colangelo, and P. Talavera, J. High Energy Phys. 05, 014 (1998); G. Colangelo, J. Gasser, and H. Leutwyler, Nucl. Phys. B603, 125 (2001). [27] T.N. Pham and Tran N. Truong, Phys. Rev. D 31, 3027 (1985). [28] F.J. Yndurain, ‘‘Low Energy Pion Physics,’’ hep-ph/0212282. [29] D. Espriu, E. de Rafael, and J. Taron, Nucl. Phys. B345, 22 (1990). [30] C.H. Llewellyn-Smith, Nuovo Cimento A60, 348 (1969). [31] E. Ruiz Arriola, Phys. Lett. B 253, 430 (1990). [32] A short preliminary version of this work was reported at the Vth International Conference on Quark Confinement and the Hadron Spectrum; see F.J. Llanes-Estrada and P. Bicudo, hep-ph/0212182. | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 6290fe55-04e6-4532-91e6-1df735bdbdca | |
relation.isAuthorOfPublication.latestForDiscovery | 6290fe55-04e6-4532-91e6-1df735bdbdca |
Download
Original bundle
1 - 1 of 1
Loading...
- Name:
- Llanes-Estrada_FJ61libre.pdf
- Size:
- 187.77 KB
- Format:
- Adobe Portable Document Format