Universität zu Köln

Daviet, Romain and Dupuis, Nicolas ORCID: 0000-0001-7710-4084 (2022). Flowing bosonization in the nonperturbative functional renormalization-group approach. SciPost Phys., 12 (3). AMSTERDAM: SCIPOST FOUNDATION. ISSN 2542-4653

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Abstract

Bosonization allows one to describe the low-energy physics of one-dimensional quantum fluids within a bosonic effective field theory formulated in terms of two fields: the density field phi and its conjugate partner, the phase theta of the superfluid order parameter. We discuss the implementation of the nonperturbative functional renormalization group in this formalism, considering a Luttinger liquid in a periodic potential as an example. We show that in order for theta and phi to remain conjugate variables at all energy scales, one must dynamically redefine the field theta along the renormalization-group flow. We derive explicit flow equations using a derivative expansion of the scale-dependent effective action to second order and show that they reproduce the flow equations of the sine-Gordon model (obtained by integrating out the field theta from the outset) derived within the same approximation. Only with the scale-dependent (flowing) reparametrization of the phase field theta do we obtain the standard phenomenology of the Luttinger liquid (when the periodic potential is sufficiently weak so as to avoid the Mott-insulating phase) characterized by two low-energy parameters, the velocity of the sound mode and the renormalized Luttinger parameter.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Daviet, Romain UNSPECIFIED UNSPECIFIED UNSPECIFIED Dupuis, Nicolas UNSPECIFIED orcid.org/0000-0001-7710-4084 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-674836
DOI:	10.21468/SciPostPhys.12.3.110
Journal or Publication Title:	SciPost Phys.
Volume:	12
Number:	3
Date:	2022
Publisher:	SCIPOST FOUNDATION
Place of Publication:	AMSTERDAM
ISSN:	2542-4653
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Physics, Multidisciplinary Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/67483