Auxiliary-field quantum Monte Carlo calculations for the relativistic electron gas

Autor:	B L Gyorffy, M T Wilson
Rok vydání:	1995
Předmět:	Physics Quantum Monte Carlo Jellium Scalar (physics) Electron Condensed Matter Physics symbols.namesake Open quantum system Auxiliary field Quantum electrodynamics symbols Feynman diagram General Materials Science Gauge theory
Zdroj:	Journal of Physics: Condensed Matter. 7:1565-1581
ISSN:	1361-648X 0953-8984
DOI:	10.1088/0953-8984/7/8/006
Popis:	We have written a version of the Hubbard-Stratonovich transformation for the case of the relativistic jellium, and have developed an auxiliary-field method for performing a quantum Monte Carlo calculation on such a system. We have successfully applied such a technique to a system with two electrons in a repeated box, and report on the results here. Also, we comment on the relationship between the functional form of the above theory and Feynman's formulation of quantum electrodynamics, namely the relationship of the auxiliary fields to the scalar and vector potentials in quantum electrodynamics. We find that gauge freedom enables us to find an auxiliary-field representation in which all fields are real, thus in principle removing the need to use imaginary auxiliary fields.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6f12e35144d31f87cc73c991b3db90a6 https://doi.org/10.1088/0953-8984/7/8/006 Zobrazit plný text záznamu