Phys. Rev. Lett. 69, 3157–3160 (1992)Monte Carlo methods for the nuclear shell modelReceived 31 August 1992; published in the issue dated 30 November 1992 We present novel Monte Carlo methods for treating the interacting shell model that allow exact calculations much larger than those heretofore possible. The two-body interaction is linearized by an auxiliary field; Monte Carlo evaluation of the resulting functional integral gives ground-state or thermal expectation values of few-body operators. The ‘‘sign problem’’ generic to quantum Monte Carlo calculations is absent in a number of cases. We discuss the favorable scaling of these methods with nucleon number and basis size and their suitability to parallel computation. © 1992 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.69.3157
DOI:
10.1103/PhysRevLett.69.3157
PACS:
21.60.Cs, 02.70.+d, 21.60.Ka
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