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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Renormalization group improved computation of correlation functions in theories with nontrivial phase diagram

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Codello, Alessandro [1, 2] ; Tonero, Alberto [3, 4]
Total Authors: 2
[1] Univ Southern Denmark, Origins CP3, Campusvej 55, DK-5230 Odense M - Denmark
[2] Univ Southern Denmark, Danish IAS, Campusvej 55, DK-5230 Odense M - Denmark
[3] ICTP SAIFR, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo - Brazil
[4] IFT UNESP, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo - Brazil
Total Affiliations: 4
Document type: Journal article
Source: Physical Review D; v. 94, n. 2 JUL 8 2016.
Web of Science Citations: 1

We present a simple and consistent way to compute correlation functions in interacting theories with nontrivial phase diagram. As an example we show how to consistently compute the four-point function in three dimensional Z(2)-scalar theories. The idea is to perform the path integral by weighting the momentum modes that contribute to it according to their renormalization group (RG) relevance, i.e. we weight each mode according to the value of the running couplings at that scale. In this way, we are able to encode in a loop computation the information regarding the RG trajectory along which we are integrating. We show that depending on the initial condition, or initial point in the phase diagram, we obtain different behaviors of the four-point function at the endpoint of the flow. (AU)

FAPESP's process: 11/11973-4 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
Grantee:Nathan Jacob Berkovits
Support type: Research Projects - Thematic Grants