| Full text | |
| Author(s): |
Pannell, William H.
;
Stergiou, Andreas
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Physics Letters B; v. 853, p. 6-pg., 2024-05-09. |
| Abstract | |
The gradient property of the renormalisation group (RG) flow of multiscalar theories is examined perturbatively in d = 4 and d = 4 - epsilon dimensions. Such theories undergo RG flows in the space of quartic couplings lambda(I). Starting at five loops, the relevant vector field that determines the physical RG flow is not the beta function traditionally computed in a minimal subtraction scheme in dimensional regularisation, but a suitable modification of it, the B function. It is found that up to five loops the.. vector field is gradient, i.e. B-I = G(IJ) partial derivative A/partial derivative lambda(J) with A a scalar and G(IJ) a rank-two symmetric tensor of the couplings. Up to five loops the beta function is also gradient, but it fails to be so at six loops. The conditions under which the.. function (and hence the RG flow) is gradient at six loops are specified, but their verification rests on a separate six-loop computation that remains to be performed. (AU) | |
| FAPESP's process: | 21/14335-0 - ICTP South American Institute for Fundamental Research: a regional center for Theoretical Physics |
| Grantee: | Nathan Jacob Berkovits |
| Support Opportunities: | Special Projects |