Elusive gauge-invariant fermion propagator in QED-like effective theories: round II
| dc.creator | Khveshchenko, D. V. | |
| dc.date | 2002-05-06 | |
| dc.date | 2002-05-07 | |
| dc.date.accessioned | 2026-07-07T02:45:20Z | |
| dc.date.available | 2026-07-07T02:45:20Z | |
| dc.description | We comment on the recent attempt by M. Franz et al [1] to further justify their earlier calculation of the gauge-invariant electron propagator in the context of the QED_3 theory of the pseudogap phase in cuprates [2]. First, we use the method of "reductio ad absurdum" to demonstrate the inconsistency of the argument offered in [2] and then present a direct calculation of the disputed fermion amplitudes, thus unequivocally proving that the previously proposed form of the electron propagator: 1) does exhibit a negative anomalous dimension, as pointed out in [3]; 2) is different from the so-called Brown's function whose anomalous dimension turns out to be positive when computed in a covariant gauge. Lastly, we conjecture that the true physical electron propagator (whose exact form still remains to be found) may feature a "super-Luttinger" behavior characterized by a faster than a power-law decay G(x)~exp(-const\ln^2|x|). | |
| dc.description | Latex, 6 pages, some typos corrected | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0205106 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0205106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/19264 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Elusive gauge-invariant fermion propagator in QED-like effective theories: round II | |
| dc.type | text |