Cirano De Dominicis
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Cirano De Dominicis has a total of 12 co-authors. Here are the top co-authors by number of shared publications:
- Irene Giardina
Università Sapienza
3 shared publications T. Temesvari
Department of Theoretical Physics Eötvös University Puskin u. 5/7 H-1088 Budapest HONGRIE
2 shared publicationsD. M. Carlucci
Department of Physics Tokyo Institute of Technology 2-12-1 Oh-okayama Meguro-ku 152 Tokyo Japan
1 shared publicationDomenico M. Carlucci
Department of Physics, Tokyo Institute of Technology, 2-12-1 Oh-Okayama, Meguro-Ku, Tokyo 152, Japan
1 shared publication- Domenico M. Carlucci
Scuola Normale Superiore Piazza dei Cavalieri 7 56100 Pisa Italy
1 shared publication - E. Brézin
École Normale Supérieure
1 shared publication
Latest Publications
- 26 October 2006
- Published by Cambridge University Press (CUP)
- p. 205-208
Renormalization at one loop: tr ϕ3 theory (spin glass)
- 26 October 2006
- Published by Cambridge University Press (CUP)
- p. 205-208
Renormalization at one loop: tr ϕ3 theory (spin glass)
- 26 October 2006
- Published by Cambridge University Press (CUP)
- p. 201-204
Renormalization at one loop: ϕ4 theory (pure Ising)
- 26 October 2006
- Published by Cambridge University Press (CUP)
- p. 201-204
Renormalization at one loop: ϕ4 theory (pure Ising)
- 23 December 2005
- Published by Springer Nature in The European Physical Journal B
- Vol. 48 (3) , 373-377
W-T identities and a candidate “droplet” Lagrangean for the Ising spin glass
- 23 December 2005
- Published by Springer Nature in The European Physical Journal B
- Vol. 48 (3) , 373-377
W-T identities and a candidate “droplet” Lagrangean for the Ising spin glass
- 19 July 2005
- Published by American Physical Society (APS) in Physical Review B
- Vol. 72 (1) , 014443
Spatial correlation functions in three-dimensional Ising spin glasses
We investigate spin-spin correlation functions in the low-temperature phase of spin-glasses. Using the replica field theory formalism, we examine in detail their infrared (long-distance) behavior. In particular we identify a longitudinal mode that behaves as massive at intermediate-length scales (near-infrared region). These issues are then addressed by numerical simulation; the analysis of our data is compatible with the prediction that the longitudinal mode appears as massive, i.e., that it undergoes an exponential decay, for distances smaller than an appropriate correlation length.
- 19 July 2005
- Published by American Physical Society (APS) in Physical Review B
- Vol. 72 (1) , 014443
Spatial correlation functions in three-dimensional Ising spin glasses
We investigate spin-spin correlation functions in the low-temperature phase of spin-glasses. Using the replica field theory formalism, we examine in detail their infrared (long-distance) behavior. In particular we identify a longitudinal mode that behaves as massive at intermediate-length scales (near-infrared region). These issues are then addressed by numerical simulation; the analysis of our data is compatible with the prediction that the longitudinal mode appears as massive, i.e., that it undergoes an exponential decay, for distances smaller than an appropriate correlation length.
- Open Access
A Comment on "Free energy fluctuations in Ising spin glasses", by T. Aspelmeier and M.A. Moore
We show that there is no need to modify the Parisi replica symmetry breaking ansatz, by working with $R$ steps of breaking and solving {\it exactly} the discrete stationarity equations generated by the standard ``truncated Hamiltonian" of spin glass theory.Open AccessA Comment on "Free energy fluctuations in Ising spin glasses", by T. Aspelmeier and M.A. Moore
We show that there is no need to modify the Parisi replica symmetry breaking ansatz, by working with $R$ steps of breaking and solving {\it exactly} the discrete stationarity equations generated by the standard ``truncated Hamiltonian" of spin glass theory. - Open Access
Twist Free Energy in a Spin Glass
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.Open AccessTwist Free Energy in a Spin Glass
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. - Open Access
Interactions of several replicas in the random field Ising model
The replicated field theory of the random field Ising model involves the couplings of replicas of different indices. The resulting correlation functions involve a superposition of different types of long distance behaviours. However the $n=0$ limit allows one to discuss the renormalization group properties in spite of this phenomenon. The attraction of pairs of replicas is enhanced under renormalization flow and no stable fixed point is found. Consequently an instability occurs in the paramagnetic region, before one reaches the Curie line, signalling the onset of replica symmetry breaking.Open AccessInteractions of several replicas in the random field Ising model
The replicated field theory of the random field Ising model involves the couplings of replicas of different indices. The resulting correlation functions involve a superposition of different types of long distance behaviours. However the $n=0$ limit allows one to discuss the renormalization group properties in spite of this phenomenon. The attraction of pairs of replicas is enhanced under renormalization flow and no stable fixed point is found. Consequently an instability occurs in the paramagnetic region, before one reaches the Curie line, signalling the onset of replica symmetry breaking. - Open Access
On Ward-Takahashi identities for the Parisi spin glass
The introduction of ``small permutations'' allows us to derive Ward-Takahashi identities for the spin-glass, in the Parisi limit of an infinite number of steps of replica symmetry breaking. The first identities express the emergence of a band of Goldstone modes. The next identities relate components of (the Replica Fourier Transformed) 3-point function to overlap derivatives of the 2-point function (inverse propagator). A jump in this last function is exhibited, when its two overlaps are crossing each other, in the special simpler case where one of the cross-overlaps is maximal.
Open AccessOn Ward-Takahashi identities for the Parisi spin glass
The introduction of ``small permutations'' allows us to derive Ward-Takahashi identities for the spin-glass, in the Parisi limit of an infinite number of steps of replica symmetry breaking. The first identities express the emergence of a band of Goldstone modes. The next identities relate components of (the Replica Fourier Transformed) 3-point function to overlap derivatives of the 2-point function (inverse propagator). A jump in this last function is exhibited, when its two overlaps are crossing each other, in the special simpler case where one of the cross-overlaps is maximal.
- 1 November 1997
- Published by Elsevier in Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy
- Vol. 325 (9) , 527-530
Sur la transformée de Fourier de répliques
- 1 November 1997
- Published by Elsevier in Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy
- Vol. 325 (9) , 527-530
Sur la transformée de Fourier de répliques
- Open Access
On the Replica Fourier Transform
The Replica Fourier Transform introduced previously is related to the standard definition of Fourier transforms over a group. Its use is illustrated by block-diagonalizing the eigenvalue equation of a four-replica Parisi matrix.
Open AccessOn the Replica Fourier Transform
The Replica Fourier Transform introduced previously is related to the standard definition of Fourier transforms over a group. Its use is illustrated by block-diagonalizing the eigenvalue equation of a four-replica Parisi matrix.