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 -