Gauge Invariance, Correlated Fermions, and Photon Mass in 2+1 Dimensions
2014 (English)In: Journal of statistical physics, ISSN 0022-4715, E-ISSN 1572-9613, Vol. 154, no 3, 877-894 p.Article in journal (Refereed) Published
We present a 2+1 dimensional quantum gauge theory with correlated fermions that is exactly solvable by bosonization. This model describes a system of Luttinger liquids propagating on two sets of equidistant lines forming a grid embedded in two dimensional continuum space; this system has two dimensional character due to density-density interactions and due to a coupling to dynamical photons propagating in the continuous embedding space. We argue that this model gives an effective description of partially gapped fermions on a square lattice that have density-density interactions and are coupled to photons. Our results include the following: after non-trivial renormalizations of the coupling parameters, the model remains well-defined in the quantum field theory limit as the grid of lines becomes a continuum; the photons in this model are massive due to gauge-invariant normal-ordering, similarly as in the Schwinger model; the exact excitation spectrum of the model has two gapped and one gapless mode.
Place, publisher, year, edition, pages
2014. Vol. 154, no 3, 877-894 p.
(2+1)D exactly solvable model, Correlated fermions, Bosonization, Anomalies, Photon mass generation, Quantum gauge theory
Physical Sciences Mathematics
IdentifiersURN: urn:nbn:se:kth:diva-142880DOI: 10.1007/s10955-013-0912-8ISI: 000331104400013ScopusID: 2-s2.0-84893727941OAI: oai:DiVA.org:kth-142880DiVA: diva2:705021
FunderSwedish Research Council, 621-2010-3708
QC 201403142014-03-142014-03-132014-03-14Bibliographically approved