Abstract
As part of a possible constructive approach to a gauge invariantP(φ)2 theory, we consider massive, scalar, polynomially selfcoupled fields φ in a fixed external Yang-Mills potentialA in two-dimensional euclidean space. For a large class ofA's we show that the corresponding euclidean Green's functions for the fields φ have a lower mass gap for weak coupling which is uniform inA. The result is obtained by adapting the Glimm-Jaffe-Spencer cluster expansion to the present situation through Kato's inequality, which reflects the diamagnetic effect of the Yang-Mills potential. A discussion of the corresponding gauge covariance is included.
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Communicated by A. Jaffe
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Schrader, R. Towards a constructive approach of a gauge invariant, massiveP(φ)2 theory. Commun.Math. Phys. 58, 299–312 (1978). https://doi.org/10.1007/BF01614226
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DOI: https://doi.org/10.1007/BF01614226