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arXiv · hep-th/0107069

Towards a Spectral Proof of the Mass Gap in QCD?

Giampiero Esposito
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Abstract

Yang--Mills theory in four dimensions is studied by using the Coulomb gauge. The Coulomb gauge Hamiltonian involves integration of matrix elements of an operator P built from the Laplacian and from a first-order differential operator. The operator P is studied from the point of view of spectral theory of pseudo-differential operators on compact Riemannian manifolds, both when self-adjointness holds and when it is not fulfilled. In both cases, well-defined matrix elements of P are evaluated as a first step towards the more difficult problems of quantized Yang--Mills theory.

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Giampiero Esposito. 2001-11-26. Towards a Spectral Proof of the Mass Gap in QCD?. https://doi.org/10.1142/s0217751x02010327

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