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| "$": "[BD08] C. Brouder and M. Du¨ tsch, Relating on-shell and off-shell formalisms in perturbative quantum field theory, J. Math. Phys. 49(5), 052303 (2008), arXiv:0710.3040." | |
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| "$": "We consider distributions on $\\R^n\\setminus{0}$ which satisfy a given set of partial differential equations and provide criteria for the existence of extensions to $\\R^n$ that satisfy the same set of equations on $\\R^n$. We use the results to construct distributions satisfying specific renormalisation conditions in the Epstein and Glaser approach to perturbative quantum field theory. Contrary to other approaches, we provide a unified apporach to treat Lorentz covariance, invariance under global gauge group and almost homogeneity, as well as discrete symmetries. We show that all such symmetries can be recovered by applying a linear map defined for all degrees of divergence. Using similar techniques, we find a relation between on-shell and off-shell time-ordered products involving higher derivatives of the fields." | |
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