On Restricting First Order Form of Gauge Theories to One-Loop Order
arXiv:2009.09553 · doi:10.1016/j.aop.2021.168426
Abstract
The first order form of the Yang-Mills and Einstein-Hilbert actions are quantized, and it is shown how Green's functions computed using the first and the second order form of these theories are related. Next we show how by use of Lagrange multiplier fields (LM), radiative effects beyond one-loop order can be eliminated. This allows one to compute Green's functions exactly without loss of unitarity. The consequences of this restriction on radiative effects are examined for the Yang-Mills and Einstein-Hilbert actions. In these two gauge theories, we find that the quantized theory is both renormalizable and unitary once the LM field is used to eliminate effects beyond one-loop order.
arXiv comment24 pages, 12 figures. Added more details and a new reference; typos corrected. To be published in Annals of Physics
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Cited by in corpus (10)
- Quantization of Einstein-Cartan theory in the first order form
- Quantum gravity in a general background gauge
- Restricting loop expansions in gauge theories coupled to matter
- Field redefinition invariant Lagrange multiplier formalism
- On the breakdown of space-time in general relativity
- Renormalization of the Einstein-Cartan Theory in First-Order Form
- Field redefinition invariant Lagrange multiplier formalism with gauge symmetries
- Thermal quantum gravity in a general background gauge
- Thermal gauge theories with Lagrange multiplier fields
- Covariant quantization of the Einstein-Hilbert theory in first-order form