Axial anomaly and Schwinger terms in two-dimensional general quantum field theory
H. G. Embacher and G. Grübl
Institut für Theoretische Physik der Universität Innsbruck, A-6020 Innsbruck, Austria
(Received: 1 February 1988)
Abstract. We compute the vacuum expectation value 
for a realistic, Hermitian, not necessarily local vector field in two-dimensional space-time when 
holds in 
, the space of tempered distributions. As the space-time symmetry group of the model we take the inhomogeneous proper orthochronous Lorentz group 
. 
is verified to have anomalous (axial-)vector Ward identities due to nonvanishing equal-time current-current commutators. Additional conditions on 
are specified which imply that is a free zero-mass Wightman field with 
.
AMS subject classification (1991). 42B10, 46F12, 81T40.
Phys. Rev. D 38, 597 - 600 (1988).
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