@article{b41be2fbb3674676b4b80f3ea08f8e8c,

title = "Theory of the magnetic catalysis of chiral symmetry breaking in QED",

abstract = "The theory of the magnetic catalysis of chiral symmetry breaking in QED is developed. An approximation for the Schwinger-Dyson equations describing reliably this phenomenon is established, i.e. it is shown that there exists a consistent truncation of those equations in this problem. The equations are solved both analytically and numerically, and the dynamical mass of fermions is determined.",

keywords = "Chiral symmetry, Magnetic field, Quantum electrodynamics",

author = "Gusynin, {V. P.} and Miransky, {V. A.} and Shovkovy, {I. A.}",

note = "Funding Information: We are grateful to Anthony Hams for his generous help in numerical solving the Schwinger–Dyson equations. We thank H. Minakata, A. Smilga, L.C.R. Wijewardhana and K. Yamawaki for useful discussions. The work of V.P.G. was supported by Swiss National Science Foundation Grant No. CEEC/NIS/96-98/7 IP 051219 and Foundation of Fundamental Researches of Ministry of Science of Ukraine under Grant No.2.5.1/003. The work of I.A.S. was supported by U.S. Department of Energy Grant #DE-FG02-84ER40153. ",

year = "1999",

month = dec,

day = "6",

doi = "10.1016/S0550-3213(99)00573-8",

language = "English (US)",

volume = "563",

pages = "361--389",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier",

number = "1-2",

}