Chiral phase dependence of fermion partition function in two dimension
| dc.creator | Kikuchi, Hisashi | |
| dc.date | 1993-06-14 | |
| dc.date.accessioned | 2026-07-07T04:19:28Z | |
| dc.date.available | 2026-07-07T04:19:28Z | |
| dc.description | The chiral phase dependence of fermion partition function in spherically symmetric U(1) gauge field background is analyzed in two dimensional space-time. A well-defined method to calculated the path integral which apply to the continuous fermion spectrum is described. The one-to-one correspondence between the nonzero energy continuous spectra of two pertinent hamiltonians, which are defined by the Dirac operator to make the path integral well-defined, is shown to be exact. The asymptotic expansion for the chiral phase dependence in \(1/|m|^2\) (\(m\) is mass of the fermion.) is proposed and the coefficients in the expansion are evaluated up to the next-to-next leading term. Up to this order, the chiral phase dependence is given only by the winding number of background field and the corrections vanish. | |
| dc.description | 29 page (LaTeX) + 1 figure (figure is available upon request.), UCRHEP-T110 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9306064 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9306064 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53566 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Chiral phase dependence of fermion partition function in two dimension | |
| dc.type | text |