Restricting loop expansions in gauge theories coupled to matter
arXiv:2102.02854 · doi:10.1016/j.aop.2021.168659
Abstract
Quantizing any model in which a Lagrange multiplier (LM) field is used to restrict field configurations to those that satisfy the classical equations of motion, leads to at most one-loop radiative corrections. This approach can be used with both the Yang-Mills (YM) and Einstein-Hilbert (EH) action; the resulting theory is both renormalizable and unitary, has a positive energy spectrum and has no negative norm states contributing to physical processes. Although this approach cannot be consistently used with scalar fields alone, scalar fields can be coupled to gauge fields so that loop effects in the gauge sector are restricted to one-loop order in a way that satisfies the usual criterion for a consistent quantum field theory. The tree-level diagrams are those of the classical theory in which the metric couples to the energy-momentum tensor.
arXiv comment28 pages, 8 figures. To appear in the Annals of Physics (the references have been sorted)
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Cited by in corpus (6)
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- Field redefinition invariant Lagrange multiplier formalism
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- Field redefinition invariant Lagrange multiplier formalism with gauge symmetries
- Thermal quantum gravity in a general background gauge
- Thermal gauge theories with Lagrange multiplier fields