Long-distance properties of frozen U(1) Higgs and axially U(1)-gauged four-Fermi models in $1+1$ dimensions
| dc.creator | Yamamoto, Hisashi | |
| dc.date | 1993-08-13 | |
| dc.date.accessioned | 2026-07-07T04:19:35Z | |
| dc.date.available | 2026-07-07T04:19:35Z | |
| dc.description | We study the long-distance relevance of vortices (instantons) in an $N$-component axially U(1)-gauged four-Fermi theory in $1+1$ dimensions, in which a naive use of $1/N$ expansion predicts the dynamical Higgs phenomenon. Its general effective lagrangian is found to be a frozen U(1) Higgs model with the gauge-field mass term proportional to an anomaly parameter ($b$). The dual-transformed versions of the effective theory are represented by sine-Gordon systems and recursion-relation analyses are performed. The results suggest that in the gauge-invariant scheme ($b=0$) vortices are always relevant at long distances, while in non-invariant schemes ($b>0$) there exists a critical $N$ above which the long-distance behavior is dominated by a free massless scalar field. | |
| dc.description | 43 pages, Latex file (16 figures not included in the text) YITP/U-93-15 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9308064 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9308064 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53616 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Long-distance properties of frozen U(1) Higgs and axially U(1)-gauged four-Fermi models in $1+1$ dimensions | |
| dc.type | text |