Physics – Condensed Matter
Scientific paper
2002-01-07
Physics
Condensed Matter
15 pages, latex, no figure
Scientific paper
10.1140/epjb/e2002-00360-1
The field theory of a short range spin glass with Gaussian random interactions, is considered near the upper critical dimension six. In the glassy phase, replica symmetry breaking is accompanied with massless Goldstone modes, generated by the breaking of reparametrization invariance of a Parisi type solution. Twisted boundary conditions are thus imposed at two opposite ends of the system in order to study the size dependence of the twist free energy. A loop-expansion is performed to first order around a twisted background. It is found, as expected but it is non trivial, that the theory does renormalize around such backgrounds, as well as for the bulk. However two main differences appear, in comparison with simple ferromagnetic transitions : (i) the loop expansion yields a (negative) anomaly in the size dependence of the free energy, thereby lifting the lower critical dimension to a value greater than two given by $d_c = 2-\eta(d_c)$ (ii) the free energy is lowered by twisting the boundary conditions. This sign may reflect a spontaneous spatial non-uniformity of the order parameter.
Brezin Edouard
Dominicis Cirano de
No associations
LandOfFree
Twist Free Energy in a Spin Glass does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Twist Free Energy in a Spin Glass, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Twist Free Energy in a Spin Glass will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-616334