2005/03/31 by É. V. Gorbar, E. V. Gorbar, Sirous Homayouni +2 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Field (mathematics) #Gauge (firearms) #Gauge boson #Gauge fixing #Gauge theory #Magnetic field #Mathematical physics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum chromodynamics #Quantum electrodynamics #Quantum field theory #Quantum mechanics #Theoretical physics #Transformation (genetics) #cond-mat.mes-hall #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.72.065014
published as Phys.Rev. D72 (2005) 065014 · 19 pages, REVTeX4, v2: clarifications added, v3: to match PRD version
openalex publication_date 2005/09/16 · arxiv created 2005/10/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the connection of the chiral dynamics in QED and QCD in a strong magnetic field with noncommutative field theories (NCFT). It is shown that these dynamics determine complicated nonlocal NCFT. In particular, although the interaction vertices for electrically neutral composites in these gauge models can be represented in the space with noncommutative spatial coordinates, there is no field transformation that could put the vertices in the conventional form considered in the literature. It is unlike the Nambu-Jona-Lasinio (NJL) model in a magnetic field where such a field transformation can be found, with a cost of introducing an exponentially damping form factor in field propagators. The crucial distinction between these two types of models is in the characters of their interactions, being short-range in the NJL-like models and long-range in gauge theories. The relevance of the NCFT connected with the gauge models for the description of the quantum Hall effect in condensed matter systems with long-range interactions is briefly discussed.