TY - CHAP
T1 - Nonperturbative Contribution to Φ+U
T2 - Proof of Theorem 8.2.5
AU - Bauerschmidt, Roland
AU - Brydges, David C.
AU - Slade, Gordon
N1 - Publisher Copyright:
© 2019, Springer Nature Singapore Pte Ltd.
PY - 2019
Y1 - 2019
N2 - We prove the main estimates on the nonperturbative contribution to the flow of coupling constants, i.e., to the flow of the perturbative coordinate of the renormalisation group map. This proves one of the two main theorems from the previous chapter. The proof makes use of an “extended norm” which is defined in this chapter. The main work in the proof rests on the proof of various norm estimates for polynomials in the field. A more comprehensive set of estimates on polynomials, needed for the next chapter, is also presented here.
AB - We prove the main estimates on the nonperturbative contribution to the flow of coupling constants, i.e., to the flow of the perturbative coordinate of the renormalisation group map. This proves one of the two main theorems from the previous chapter. The proof makes use of an “extended norm” which is defined in this chapter. The main work in the proof rests on the proof of various norm estimates for polynomials in the field. A more comprehensive set of estimates on polynomials, needed for the next chapter, is also presented here.
KW - Flow of coupling constants
KW - Polynomial norm estimates
KW - Renormalisation group flow
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U2 - 10.1007/978-981-32-9593-3_9
DO - 10.1007/978-981-32-9593-3_9
M3 - Chapter
AN - SCOPUS:85074630722
T3 - Lecture Notes in Mathematics
SP - 139
EP - 149
BT - Lecture Notes in Mathematics
PB - Springer Verlag
ER -