149 research outputs found
Note on massless bosonic states in two-dimensional field theories
In a wide class of invariant two-dimensional
super-renormalizable field theories, the parity-odd part of the two-point
function of global currents is completely determined by a fermion one-loop
diagram. For any non-trivial fermion content, the two-point function possesses
a massless pole which corresponds to massless bosonic physical states. As an
application, we show that two-dimensional supersymmetric
gauge theory without a superpotential possesses symmetry
and contains one massless bosonic state per fixed spatial momentum. The
supersymmetric pure Yang-Mills theory possesses
symmetry, and there exist at least three massless
bosonic states.Comment: 17pages, 4 figures, uses PTPTeX.cls and feynMF, added an appendi
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