Scaling limits of integrable quantum field theories

Bostelmann H, Lechner G, Morsella G (2011)

Publication Type: Journal article

Publication year: 2011

Journal

Reviews in Mathematical Physics World Scientific Publishing

Book Volume: 23

Pages Range: 1115-1156

Journal Issue: 10

DOI: 10.1142/S0129055X11004539

Abstract

Short distance scaling limits of a class of integrable models on two-dimensional Minkowski space are considered in the algebraic framework of quantum field theory. Making use of the wedge-local quantum fields generating these models, it is shown that massless scaling limit theories exist, and decompose into (twisted) tensor products of chiral, translation-dilation covariant field theories. On the subspace which is generated from the vacuum by the observables localized in finite light ray intervals, this symmetry can be extended to the Möbius group. The structure of the interval-localized algebras in the chiral models is discussed in two explicit examples. © 2011 World Scientific Publishing Company.

Authors with CRIS profile

Gandalf Lechner

Additional Organisation(s)

Lehrstuhl für Mathematik (Operatoralgebren)

Involved external institutions

Università degli Studi di Roma 'Tor Vergata' IT Italy (IT) University of York GB United Kingdom (GB) Universität Leipzig DE Germany (DE)

How to cite

APA:

Bostelmann, H., Lechner, G., & Morsella, G. (2011). Scaling limits of integrable quantum field theories. Reviews in Mathematical Physics, 23(10), 1115-1156. https://dx.doi.org/10.1142/S0129055X11004539

MLA:

Bostelmann, Henning, Gandalf Lechner, and Gerardo Morsella. "Scaling limits of integrable quantum field theories." Reviews in Mathematical Physics 23.10 (2011): 1115-1156.

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