Geodesic
$T$-products in Bogolubov's axiomatics
Informatics and Automation, 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},
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     publisher = {mathdoc},
     volume = {135},
     year = {1975},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_1975_135_a21/}
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B. V. Medvedev; A. D. Sukhanov. $T$-products in Bogolubov's axiomatics. Informatics and Automation, 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/TRSPY_1975_135_a21/