Dimensional Deconstruction and Wess-Zumino-Witten Terms
| dc.creator | Hill, Christopher T. | |
| dc.creator | Zachos, Cosmas K. | |
| dc.date | 2004-11-17 | |
| dc.date | 2004-11-23 | |
| dc.date.accessioned | 2026-07-07T11:32:19Z | |
| dc.date.available | 2026-07-07T11:32:19Z | |
| dc.description | A new technique is developed for the derivation of the Wess-Zumino-Witten terms of gauged chiral lagrangians. We start in D=5 with a pure (mesonless) Yang-Mills theory, which includes relevant gauge field Chern-Simons terms. The theory is then compactified, and the effective D=4 lagrangian is derived using lattice techniques, or ``deconstruction,'' where pseudoscalar mesons arise from the lattice Wilson links. This yields the WZW term with the correct Witten coefficient by way of a simple heuristic argument. We discover a novel WZW term for singlet currents, that yields the full Goldstone-Wilczek current, and a U(1) axial current for the skyrmion, with the appropriate anomaly structures. A more detailed analysis is presented of the dimensional compactification of Yang-Mills in D=5 into a gauged chiral lagrangian in D=4, heeding the consistency of the D=4 and D=5 Bianchi identities. These dictate a novel covariant derivative structure in the D=4 gauge theory, yielding a field strength modified by the addition of commutators of chiral currents. The Chern-Simons term of the pure D=5 Yang-Mills theory then devolves into the correct form of the Wess-Zumino-Witten term with an index (the analogue of N_{colors}=3) of N=D=5. The theory also has a Skyrme term with a fixed coefficient. | |
| dc.description | 29 pages, no figures; replacement fixes a typographical minus sign error in eq.(16), an errant normalization factor, and clarifies some discussion issues | |
| dc.identifier | https://arxiv.org/abs/hep-th/0411157 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0411157 | |
| dc.identifier | Phys.Rev.D71:046002,2005 | |
| dc.identifier | doi:10.1103/PhysRevD.71.046002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/197559 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Dimensional Deconstruction and Wess-Zumino-Witten Terms | |
| dc.type | text |