Inclusion of Chemical Potential for Scalar Fields
| dc.creator | Filippi, Antonio | |
| dc.date | 1997-03-15 | |
| dc.date.accessioned | 2026-07-07T04:01:24Z | |
| dc.date.available | 2026-07-07T04:01:24Z | |
| dc.description | There are two possible methods for the inclusion of the chemical potential in a relativistic bosonic field theory. The most popular method has recently been criticised by some authors, so much so as to require a re-analysis of the entire problem. I here present a new approach to the inclusion of the chemical potential that uses the second method and zeta-function regularisation techniques. I first apply it to the non-interacting field, obtaining an expression for the effective potential which is formally coincident with the well-known one from the first method. My approach, however, seems here mathematically more rigorous since it excludes the presence of the multiplicative anomaly. I then obtain a new expression for the one loop effective potential for the interacting field. This is regularised, presents less cryptic excitation energies, shows Goldstone excitations, and in the non-interacting limit gives the expected expression. The high-temperature expansion is calculated easily and with clarity, and confirms the results of the first method for the critical temperature. | |
| dc.description | 16 pages, LaTeX, available through anonymous ftp from ftp://euclid.tp.ph.ic.ac.uk/papers/ or on WWW at http://euclid.tp.ph.ic.ac.uk/Papers/ | |
| dc.identifier | https://arxiv.org/abs/hep-ph/9703323 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/9703323 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/46881 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Inclusion of Chemical Potential for Scalar Fields | |
| dc.type | text |