1998/05/25 by V. A. Miransky, Miransky, V. A.
Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #hep-ph #hep-th #quant-ph
paper · pdf · doi:10.48550/arxiv.hep-th/9805159
8 pages, RevTex. Based on the talk given at the Workshop ``Nonperturbative Methods in Quantum Field Theory'' (February 1998, Adelaide). A reference is added
openalex publication_date 1998/05/25 · arxiv created 1998/05/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The phenomenon of the magnetic catalysis of dynamical symmetry breaking is based on the dimensional reduction D→ D-2 in the dynamics of fermion pairing in a magnetic field. We discuss similarities between this phenomenon and the Aharonov-Bohm effect. This leads to the interpretation of the dynamics of the (1+1)-dimensional Gross-Neveu model with a non-integer number of fermion colors as a quantum field theoretical analogue of the Aharonov-Bohm dynamics.