Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2002-02-09
Eur. Phys. J. B 25, 361-372 (2002)
Physics
Condensed Matter
Disordered Systems and Neural Networks
25 pages. Latex2e with amsmath and amssymb. To be published in Eur. Phys. J B
Scientific paper
10.1140/epjb/e20020041
Symmetry considerations and a direct, Hubbard-Stratonovich type, derivation are used to construct a replica field-theory relevant to the study of the spin glass transition of short range models in a magnetic field. A mean-field treatment reveals that two different types of transitions exist, whenever the replica number n is kept larger than zero. The Sherrington-Kirkpatrick critical point in zero magnetic field between the paramagnet and replica magnet (a replica symmetric phase with a nonzero spin glass order parameter) separates from the de Almeida-Thouless line, along which replica symmetry breaking occurs. We argue that for studying the de Almeida-Thouless transition around the upper critical dimension d=6, it is necessary to use the generic cubic model with all the three bare masses and eight cubic couplings. The critical role n may play is also emphasized. To make perturbative calculations feasible, a new representation of the cubic interaction is introduced. To illustrate the method, we compute the masses in one-loop order. Some technical details and a list of vertex rules are presented to help future renormalisation-group calculations.
Dominicis Cirano de
Pimentel I. R.
Temesvari Tamas
No associations
LandOfFree
Generic replica symmetric field-theory for short range Ising spin glasses 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 Generic replica symmetric field-theory for short range Ising spin glasses, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generic replica symmetric field-theory for short range Ising spin glasses will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-675416