TY - JOUR
T1 - Pseudoparticles and massless fermions in two dimensions
AU - Callan, Curtis Gove
AU - Dashen, Roger
AU - Gross, David J.
PY - 1977/1/1
Y1 - 1977/1/1
N2 - The role of pseudoparticles 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 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.
AB - The role of pseudoparticles 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 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.
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U2 - 10.1103/PhysRevD.16.2526
DO - 10.1103/PhysRevD.16.2526
M3 - Article
AN - SCOPUS:0000698633
SN - 1550-7998
VL - 16
SP - 2526
EP - 2534
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 8
ER -