The perturbative structure of spin glass field theory
نویسندگان
چکیده
منابع مشابه
Non-perturbative Field Theory
In this talk we review recent developments which enable us to use techniques of integrable twodimensional quantum field theories to solve exactly four dimensional N=4 gauge theory through the use of the AdS/CFT correspondence. By ‘solve’ we mean here to find all anomalous dimensions of all operators of the theory for any value of the gauge coupling. We illustrate the methods with the case of th...
متن کاملMean field theory of a quantum heisenberg spin glass
A full mean-field solution of a quantum Heisenberg spin-glass model is presented in a large- N limit. A spin-glass transition is found for all values of the spin S. The quantum critical regime associated with the quantum transition at S = 0 and the various regimes in the spin-glass phase at high spin are analyzed. The specific heat is shown to vanish linearly with temperature. In the spin-glass...
متن کاملPerturbative Topological Field Theory
We give a review of the application of perturbative techniques to topologi-cal quantum eld theories, in particular three-dimensional Chern-Simons-Witten theory and its various generalizations. To this end we give an introduction to graph homology and homotopy algebras and the work of Vassiliev and Kontsevich on perturbative knot invariants.
متن کاملMathematical Aspects of Mean Field Spin Glass Theory
A comprehensive review will be given about the rich mathematical structure of mean field spin glass theory, mostly developed, until now, in the frame of the methods of theoretical physics, based on deep physical intuition and hints coming from numerical simulation. Central to our treatment is a very simple and yet powerful interpolation method, allowing to compare different probabilistic scheme...
متن کامل8 Introduction to Mean-Field Theory of Spin Glass Models
2 Fundamental concepts of the full mean-field theory of spin glasses 6 2.1 Ergodicity, thermodynamic limit and thermodynamic homogeneity . . . . . . . 6 2.2 Real replicas and phase-space scalings . . . . . . . . . . . . . . . . . . . . . . 8 2.3 Hierarchical construction of mean-field free energies . . . . . . . . . . . . . . 10 2.4 Continuous limit: Parisi solution . . . . . . . . . . . . . . ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2014
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2014.01.020