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Emergent Lorentz symmetry near fermionic quantum critical points in two and three dimensions
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Utrecht University, Netherlands .
2016 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 2016, no 4, 018Article in journal (Refereed) PublishedText
Abstract [en]

We study the renormalization group flow of the velocities in the field theory describing the coupling of the massless quasi-relativistic fermions to the bosons through the Yukawa coupling, as well as with both bosons and fermions coupled to a fluctuating U(1) gauge field in two and three spatial dimensions. Different versions of this theory describe quantum critical behavior of interacting Dirac fermions in various condensed-matter systems. We perform an analysis using one-loop ϵ-expansion about three spatial dimensions, which is the upper critical dimension in the problem. In two dimensions, we find that velocities of both charged fermions and bosons ultimately flow to the velocity of light, independently of the initial conditions, the number of fermionic and bosonic flavors, and the value of the couplings at the critical point. In three dimensions, due to the analyticity of the gauge field propagator, both the U(1) charge and the velocity of light flow, which leads to a richer behavior than in two dimensions. We show that all three velocities ultimately flow to a common terminal velocity, which is non-universal and different from the original velocity of light. Therefore, emergence of the Lorentz symmetry in the ultimate infrared regime seems to be a rather universal feature of this class of theories in both two and three dimensions.

Place, publisher, year, edition, pages
Springer-Verlag New York, 2016. Vol. 2016, no 4, 018
Keyword [en]
Effective field theories, Renormalization Group, Space-Time Symmetries
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-187193DOI: 10.1007/JHEP04(2016)018ISI: 000375331200002ScopusID: 2-s2.0-84962752978OAI: diva2:929923

QC 20160520

Available from: 2016-05-20 Created: 2016-05-18 Last updated: 2016-05-31Bibliographically approved

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Juričić, Vladimir
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Nordic Institute for Theoretical Physics NORDITA
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