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Renormalization group and quantum critical phenomena in the large-n limit

G. Busiello, L. De Cesare and I. Rabuffo

Physica A: Statistical Mechanics and its Applications, 1983, vol. 117, issue 2, 445-481

Abstract: The paper is devoted to a sistematic study of the critical behaviour and quantum regime of a wide class of quantum systems on the basis of the Renormalization Group (RG) approach in the large-n limit. It can be considered as a complement to recent perturbative (RG) investigations for the same systems and as a convenient basis for a treatment of the classical-quantum crossover. The differences between “Bosonized systems” and several quantum systems for which a dimensional crossover occurs in the low temperature limit are emphasized, consistently with the perturbative results and a calculation of the quantum non linear scaling field is also realized. Finally, a differential formulation of the quantum RG in the large-n limit is presented and its convenience in investigating some aspects of the problem is pointed out.

Date: 1983
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:117:y:1983:i:2:p:445-481

DOI: 10.1016/0378-4371(83)90126-7

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