608 K
19 pp.
 
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TitleInstantons and Massless Fermions in Two Dimensions
Author(s)Callan, C. G. Jr.; Dashen, R.; Gross, D. J.
Publication DateMay 1977
Report NumberCOO-2220-110
Unique IdentifierACC0469
Other NumbersOSTI ID: 7284867
Research OrgInstitute for Advanced Study, Princeton, N.J. (USA); Princeton University, N.J. (USA). Joseph Henry Laboratories
Contract NoEY-76-S-02-2220
Sponsoring OrgEnergy Research and Development Administration (ERDA)
Subject72 Physics of Elementary Particles and Fields; Chiral Symmetry; Symmetry Breaking; U Groups; Fermions; Four-Dimensional Calculations; Goldstone Bosons; Two-Dimensional Calculations; U-1 Groups; Vectors; Bosons; Elementary Particles; Lie Groups; Postulated Particles; Symmetry; Symmetry Groups; Tensors
Related Web PagesDavid J. Gross and the Strong Force
AbstractThe role of instantons in the breakdown of chiral U(N) symmetry is studied in a two dimensional model. Chiral U(1) is always destroyed by the axial vector anomaly. For N = 2 chiral SU(N) is also spontaneously broken yielding massive fermions and three (decoupled) Goldstone bosons. For N greater than or equal to 3 the fermions remain massless. Realistic four dimensional theories are believed to behave in a similar way but the critical N above which the fermions cease to be massive is not known in four dimensions.
608 K
19 pp.
 
View Document 
  


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