Microlocal Analysis and Renormalization in Finite Temperature Field Theory

Details Microlocal Analysis and Renormalization in Finite Temperature Field Theory Microlocal Analysis and Renormalization in Finite Temperature Field Theory

2003-06-18

arxiv.org/abs/hep-th/0306169v2

Int.J.Theor.Phys.46:383-398,2007

Physics

High Energy Physics

High Energy Physics - Theory

New title. Version to appear in International Journal of Theoretical Physics

Scientific paper

10.1007/s10773-006-9239-4

We reassess the problem of renormalization in finite temperature field theory (FTFT). A new point of view elucidates the relation between the ultraviolet divergences for T=0 and $T \not= 0$ theories and makes clear the reason why the ultraviolet behavior keeps unaffected when we consider the FTFT version associated to a given quantum field theory (QFT). The strength of the derivation one lies on the H\"ormander's criterion for the existence of products of distributions in terms of the wavefront sets of the respective distributions. The approach allows us to regard the FTFT both imaginary and real time formalism at once in a unified way in the contour ordered formalism.

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