Geodesic
$T$-products in Bogolubov's axiomatics
Trudy Matematicheskogo Instituta imeni V.A. Steklova, International Conference on Mathematical Problems of Quantum Field Theory and Quantum Statistics. Part I. Axiomatic quantum field theory, Tome 135 (1975), pp. 198-200.

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The obvious phenomenon in the classical mechanics, namely the distinction between Hamiltonian $H$ and (minus) Lagrangian $-L$, is described in quantum field theory by two distinct $T$-products. This distinction is reflected in two forms of $S$-matrix – the chronological exponentials, $T_D$ with $H$ and $T_W$ with $-L$ as generators, proposed by second author in 1961. The causal and unitary $S$-matrix requires resp. non-local and non-hermitian Lagrangian in the general type of régularisation. The distinction between $T_D$ and $T_W$, is also clearly seen in Green functions. The field Green functions depend on T-products only of the fields themselves when the classical examples of renormalisable theories are concerned. Generally the renormalisation of Green functions requires taking into consideration the higher field-like quasilocal operators. 
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     author = {B. V. Medvedev and A. D. Sukhanov},
     title = {$T$-products in {Bogolubov's} axiomatics},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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     publisher = {mathdoc},
     volume = {135},
     year = {1975},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_1975_135_a21/}
}
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B. V. Medvedev; A. D. Sukhanov. $T$-products in Bogolubov's axiomatics. Trudy Matematicheskogo Instituta imeni V.A. Steklova, International Conference on Mathematical Problems of Quantum Field Theory and Quantum Statistics. Part I. Axiomatic quantum field theory, Tome 135 (1975), pp. 198-200. http://geodesic.mathdoc.fr/item/TM_1975_135_a21/