The Replica Trick in the Frame of Replica Interpolation

2019 ◽  
pp. 171-191
Author(s):  
Francesco Guerra
Keyword(s):  
Replica Trick

scholarly journals Replica trick and string winding

2017 ◽  
Vol 96 (2) ◽  
Author(s):  
Andrea Prudenziati ◽  
Diego Trancanelli
Keyword(s):  
Replica Trick

scholarly journals Replica Trick with Real Replicas: A Way to Build in Thermodynamic Homogeneity

2005 ◽  
Vol 157 ◽  
pp. 99-102 ◽  
Author(s):  
Václav Janiš ◽  
Lenka Zdeborová
Keyword(s):  
Replica Trick

The replica-symmetric solution without replica trick for the Hopfield model

1994 ◽  
Vol 74 (5-6) ◽  
pp. 1161-1183 ◽  
Author(s):  
L. Pastur ◽  
M. Shcherbina ◽  
B. Tirozzi
Keyword(s):  
Symmetric Solution ◽  
Hopfield Model ◽  
Replica Trick

scholarly journals On the renormalization of entanglement entropy

2021 ◽  
Vol 31 (1) ◽  
Author(s):  
Jin-Yi Pang ◽  
Jiunn-Wei Chen
Keyword(s):  
Field Theory ◽  
Black Hole ◽  
Scalar Field ◽  
Entanglement Entropy ◽  
Black Hole Entropy ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Replica Trick ◽  
Dimensional Spacetime

AbstractThe renormalization of entanglement entropy of quantum field theories is investigated in the simplest setting with a λϕ4 scalar field theory. The 3+1 dimensional spacetime is separated into two regions by an infinitely flat 2-dimensional interface. The entanglement entropy of the system across the interface has an elegant geometrical interpretation using the replica trick, which requires putting the field theory on a curved spacetime background. We demonstrate that the theory, and hence the entanglement entropy, is renormalizable at order λ once all the relevant operators up to dimension 4 are included in the action. This exercise has a one-to-one correspondence to entanglement entropy interpretation of the black hole entropy which suggests that our treatment is sensible. Our study suggests that entanglement entropy is renormalizable and is a physical quantity.

Replica trick and fluctuations in disordered systems

1992 ◽  
Vol 2 (7) ◽  
pp. 1325-1332 ◽  
Author(s):  
A. Crisanti ◽  
G. Paladin ◽  
H.-J. Sommers A. Vulpiani
Keyword(s):  
Disordered Systems ◽  
Replica Trick

scholarly journals Petz reconstruction in random tensor networks

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Hewei Frederic Jia ◽  
Mukund Rangamani
Keyword(s):  
Boundary Data ◽  
Coarse Graining ◽  
Random Projections ◽  
Replica Trick ◽  
Tensor Networks ◽  
Tensor Network ◽  
Random Tensor

Abstract We illustrate the ideas of bulk reconstruction in the context of random tensor network toy models of holography. Specifically, we demonstrate how the Petz reconstruction map works to obtain bulk operators from the boundary data by exploiting the replica trick. We also take the opportunity to comment on the differences between coarse-graining and random projections.

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