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Two--Dimensional BF Model Quantized in the Axial Gauge

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arxiv hep-th/9609240 v1 pith:O4FBZL5L submitted 1996-09-30 hep-th

Two--Dimensional BF Model Quantized in the Axial Gauge

classification hep-th
keywords axialgaugemodelproblemquantizedreplacedtwo--dimensionalaction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The two--dimensional topological BF model is quantized in the axial gauge. We show that this theory is trivially ultraviolet finite and that the usual infrared problem of the propagator of the scalar field in two dimensions is replaced by an easily solvable long distances problem inherent to the axial gauge. It will also be shown that contrarily to the 3--dimensional case, the action principle cannot be completely replaced by the various Ward identities expressing the symmetries of the model; some of the equation of motion are needed.

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