TY - JOUR
T1 - A comment on sigma model anomalies
AU - Manohar, Aneesh
AU - Moore, Gregory
AU - Nelson, Philip
N1 - Funding Information:
*Work supported in part by the National r Harvard Society of Fellows. 2 NSF Graduate Fellow.
PY - 1985/2/28
Y1 - 1985/2/28
N2 - Some non-linear sigma models with fermions are known to be ill-defined because of a global obstruction to any consistent quantization. Sigma models relevant to phenomenological theories of dynamical symmetry breaking must satisfy the additional constraint of appropriately realizing the flavor symmetries of the underlying theory at the one-loop level. This is possible if and only if 't Hooft's anomaly condition is satisfied. In particular, we show that there always exists a Wess-Zumino term which correctly reproduces the flavor anomalies, and the global obstruction vanishes, whenever 't Hooft's condition is satisfied.
AB - Some non-linear sigma models with fermions are known to be ill-defined because of a global obstruction to any consistent quantization. Sigma models relevant to phenomenological theories of dynamical symmetry breaking must satisfy the additional constraint of appropriately realizing the flavor symmetries of the underlying theory at the one-loop level. This is possible if and only if 't Hooft's anomaly condition is satisfied. In particular, we show that there always exists a Wess-Zumino term which correctly reproduces the flavor anomalies, and the global obstruction vanishes, whenever 't Hooft's condition is satisfied.
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U2 - 10.1016/0370-2693(85)91141-4
DO - 10.1016/0370-2693(85)91141-4
M3 - Article
AN - SCOPUS:0002299772
VL - 152
SP - 68
EP - 74
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 1-2
ER -