Nonperturbative infrared dynamics of three-dimensional QED with a four-fermion interaction
| Autor: | A.H. Hams, V.P Gusynin, [No Value] Gusynin, M. Reenders |
|---|---|
| Přispěvatelé: | Van Swinderen Institute for Particle Physics and G |
| Jazyk: | angličtina |
| Rok vydání: | 2000 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Infrared fixed point High Energy Physics::Lattice Scalar (mathematics) FOS: Physical sciences 4-FERMION THEORY 01 natural sciences Superconductivity (cond-mat.supr-con) SYMMETRY-BREAKING CHIRAL-SYMMETRY Condensed Matter - Strongly Correlated Electrons High Energy Physics - Phenomenology (hep-ph) 0103 physical sciences MASS GENERATION (2+1)-DIMENSIONAL QUANTUM ELECTRODYNAMICS Gauge theory CONFORMAL PHASE-TRANSITION 010306 general physics VACUUM POLARIZATION Physics Gauge boson Strongly Correlated Electrons (cond-mat.str-el) 010308 nuclear & particles physics Condensed Matter - Superconductivity Mass generation High Energy Physics::Phenomenology Yukawa potential Propagator 2-DIMENSIONAL SUPERCONDUCTIVITY Fermion High Energy Physics - Phenomenology High Energy Physics - Theory (hep-th) Quantum electrodynamics GAUGE-THEORIES CRITICAL-BEHAVIOR |
| Zdroj: | Physical Review D, 6304(4):045025, art-045025. AMER PHYSICAL SOC |
| ISSN: | 1550-7998 |
| Popis: | A non-linear Schwinger-Dyson (SD) equation for the gauge boson propagator of massless QED in one time and two spatial dimensions is studied. It is shown that the nonperturbative solution leads to a nontrivial renormalization-group infrared fixed point quantitatively close to the one found in the leading order of the 1/N expansion, with N the number of fermion flavors. In the gauged Nambu-Jona-Lasinio (GNJL) model an equation for the Yukawa vertex is solved in an approximation given by the one-photon exchange and an analytic expression is derived for the propagator of the scalar fermion-antifermion composites. Subsequently, the mass and width of the scalar composites near the phase transition line are calculated as functions of the four-fermion coupling g and flavor number N. The possible relevance of these results for describing particle-hole excitations, in particular antiferromagnetic correlations, observed in the underdoped cuprates, is briefly discussed. 34 pages, 9 figures, REVTeX. Final revised and corrected version |
| Databáze: | OpenAIRE |
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