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Stochastic quantization approach to disordered fermions
Author(s) -
Kolley E.,
Kolley W.
Publication year - 1987
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221400223
Subject(s) - stochastic quantization , euclidean geometry , quantization (signal processing) , normalization (sociology) , statistical physics , fermion , mathematics , second quantization , stochastic process , quantum , mathematical physics , physics , quantum mechanics , path integral formulation , algorithm , statistics , geometry , creation and annihilation operators , sociology , anthropology
The method of the stochastic quantization is applied to an electron system described by the random Hubbard model. Two different stochastic calculi are performed corresponding to Euclidean and non‐Euclidean versions of the quantum field theory in terms of Grassmann variables. In averaging over the quenched disorder a nontrivial normalization denominator can be avoided. An averaged, effective two‐time action is given as basis for treating localization.