Geodesic
Calculation of the~renormalized two-point function by adiabatic regularization
Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 2, pp. 295-307

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We calculate a renormalized two-point function using the adiabatic regularization method. We study the conformally and minimally coupled cases for massless and massive scalar fields in full detail. We reproduce previous results in a rigorous mathematical form and clarify some empirical approximations and bounds. We consider some applications to inflationary models.
Keywords: two-point function, adiabatic regularization, de Sitter phase. 
@article{TMF_2010_165_2_a6,
     author = {J. Haro},
     title = {Calculation of the~renormalized two-point function by adiabatic regularization},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {295--307},
     publisher = {mathdoc},
     volume = {165},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2010_165_2_a6/}
}
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J. Haro. Calculation of the~renormalized two-point function by adiabatic regularization. Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 2, pp. 295-307. http://geodesic.mathdoc.fr/item/TMF_2010_165_2_a6/