Universität zu Köln

Nemkov, Nikita and Klevtsov, Semyon (2021). Liouville perturbation theory for Laughlin state and Coulomb gas. J. Phys. A-Math. Theor., 54 (33). BRISTOL: IOP PUBLISHING LTD. ISSN 1751-8121

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Abstract

We consider the generating functional (logarithm of the normalization factor) of the Laughlin state on a sphere, in the limit of a large number of particles N. The problem is reformulated in terms of a perturbative expansion of a 2d QFT, resembling the Liouville field theory. We develop an analog of the Liouville loop perturbation theory, which allows us to quantitatively study the generating functional for an arbitrary smooth metric and an inhomogeneous magnetic field beyond the leading orders in large N.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Nemkov, Nikita UNSPECIFIED UNSPECIFIED UNSPECIFIED Klevtsov, Semyon UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-583142
DOI:	10.1088/1751-8121/ac1483
Journal or Publication Title:	J. Phys. A-Math. Theor.
Volume:	54
Number:	33
Date:	2021
Publisher:	IOP PUBLISHING LTD
Place of Publication:	BRISTOL
ISSN:	1751-8121
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language QUANTUM HALL STATES; 2 DIMENSIONS; QUANTIZATION; TRANSPORT; PLASMA; FLUID Multiple languages Physics, Multidisciplinary; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/58314