Chiral properties of baryon interpolating fields
Апстракт
We study the chiral transformation properties of all possible local (non-derivative) interpolating field operators for baryons consisting of three quarks with two flavors, assuming good isospin symmetry. We derive and use the relations/identities among the baryon operators with identical quantum numbers that follow from the combined color, Dirac and isospin Fierz transformations. These relations reduce the number of independent baryon operators with any given spin and isospin. The Fierz identities also effectively restrict the allowed baryon chiral multiplets. It turns out that the non-derivative baryons chiral multiplets have the same dimensionality as their Lorentz representations. For the two independent nucleon operators the only permissible chiral multiplet is the fundamental one, (1/2, 0) circle plus (0, 1/2). For the Delta, admissible Lorentz representations are (1, 1/2) circle plus (1/2, 1) and (3/2, 0) circle plus (0, 3/2). In the case of the (1, 1/2) circle plus (1/2, 1) chir...al multiplet, the I (J) = 3/2 (3/2) Delta field has one I (J) = 1/2 (3/2) chiral partner; otherwise it has none. We also consider the Abelian (U(A)(1)) chiral transformation properties of the fields and show that each baryon comes in two varieties: (1) with Abelian axial charge + 3; and (2) with Abelian axial charge -1. In case of the nucleon these are the two Ioffe fields; in case of the Delta, the (1, 1/2) circle plus (1/2, 1) multiplet has an Abelian axial charge -1 and the (3/2, 0) circle plus (0, 3/2) multiplet has an Abelian axial charge +3.
Извор:
European Physical Journal C. Particles and Fields, 2008, 57, 3, 557-567
DOI: 10.1140/epjc/s10052-008-0692-5
ISSN: 1434-6044
WoS: 000261954300007
Scopus: 2-s2.0-57849147121
Колекције
Институција/група
VinčaTY - JOUR AU - Nagata, Keitaro AU - Hosaka, Atsushi AU - Dmitrasinovic, V. PY - 2008 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3599 AB - We study the chiral transformation properties of all possible local (non-derivative) interpolating field operators for baryons consisting of three quarks with two flavors, assuming good isospin symmetry. We derive and use the relations/identities among the baryon operators with identical quantum numbers that follow from the combined color, Dirac and isospin Fierz transformations. These relations reduce the number of independent baryon operators with any given spin and isospin. The Fierz identities also effectively restrict the allowed baryon chiral multiplets. It turns out that the non-derivative baryons chiral multiplets have the same dimensionality as their Lorentz representations. For the two independent nucleon operators the only permissible chiral multiplet is the fundamental one, (1/2, 0) circle plus (0, 1/2). For the Delta, admissible Lorentz representations are (1, 1/2) circle plus (1/2, 1) and (3/2, 0) circle plus (0, 3/2). In the case of the (1, 1/2) circle plus (1/2, 1) chiral multiplet, the I (J) = 3/2 (3/2) Delta field has one I (J) = 1/2 (3/2) chiral partner; otherwise it has none. We also consider the Abelian (U(A)(1)) chiral transformation properties of the fields and show that each baryon comes in two varieties: (1) with Abelian axial charge + 3; and (2) with Abelian axial charge -1. In case of the nucleon these are the two Ioffe fields; in case of the Delta, the (1, 1/2) circle plus (1/2, 1) multiplet has an Abelian axial charge -1 and the (3/2, 0) circle plus (0, 3/2) multiplet has an Abelian axial charge +3. T2 - European Physical Journal C. Particles and Fields T1 - Chiral properties of baryon interpolating fields VL - 57 IS - 3 SP - 557 EP - 567 DO - 10.1140/epjc/s10052-008-0692-5 ER -
@article{ author = "Nagata, Keitaro and Hosaka, Atsushi and Dmitrasinovic, V.", year = "2008", abstract = "We study the chiral transformation properties of all possible local (non-derivative) interpolating field operators for baryons consisting of three quarks with two flavors, assuming good isospin symmetry. We derive and use the relations/identities among the baryon operators with identical quantum numbers that follow from the combined color, Dirac and isospin Fierz transformations. These relations reduce the number of independent baryon operators with any given spin and isospin. The Fierz identities also effectively restrict the allowed baryon chiral multiplets. It turns out that the non-derivative baryons chiral multiplets have the same dimensionality as their Lorentz representations. For the two independent nucleon operators the only permissible chiral multiplet is the fundamental one, (1/2, 0) circle plus (0, 1/2). For the Delta, admissible Lorentz representations are (1, 1/2) circle plus (1/2, 1) and (3/2, 0) circle plus (0, 3/2). In the case of the (1, 1/2) circle plus (1/2, 1) chiral multiplet, the I (J) = 3/2 (3/2) Delta field has one I (J) = 1/2 (3/2) chiral partner; otherwise it has none. We also consider the Abelian (U(A)(1)) chiral transformation properties of the fields and show that each baryon comes in two varieties: (1) with Abelian axial charge + 3; and (2) with Abelian axial charge -1. In case of the nucleon these are the two Ioffe fields; in case of the Delta, the (1, 1/2) circle plus (1/2, 1) multiplet has an Abelian axial charge -1 and the (3/2, 0) circle plus (0, 3/2) multiplet has an Abelian axial charge +3.", journal = "European Physical Journal C. Particles and Fields", title = "Chiral properties of baryon interpolating fields", volume = "57", number = "3", pages = "557-567", doi = "10.1140/epjc/s10052-008-0692-5" }
Nagata, K., Hosaka, A.,& Dmitrasinovic, V.. (2008). Chiral properties of baryon interpolating fields. in European Physical Journal C. Particles and Fields, 57(3), 557-567. https://doi.org/10.1140/epjc/s10052-008-0692-5
Nagata K, Hosaka A, Dmitrasinovic V. Chiral properties of baryon interpolating fields. in European Physical Journal C. Particles and Fields. 2008;57(3):557-567. doi:10.1140/epjc/s10052-008-0692-5 .
Nagata, Keitaro, Hosaka, Atsushi, Dmitrasinovic, V., "Chiral properties of baryon interpolating fields" in European Physical Journal C. Particles and Fields, 57, no. 3 (2008):557-567, https://doi.org/10.1140/epjc/s10052-008-0692-5 . .