An operator expansion for integrable quantum field theories

TY - JOUR

T1 - An operator expansion for integrable quantum field theories

AU - Bostelmann, Henning

AU - Cadamuro, Daniela

N1 - ©2013, IOP Publishing Ltd.

PY - 2013/2/15

Y1 - 2013/2/15

N2 - A large class of quantum field theories on 1+1 dimensional Minkowski space, namely, certain integrable models, has recently been constructed rigorously by Lechner. However, the construction is very abstract and the concrete form of local observables in these models remains largely unknown. Aiming for more insight into their structure, we establish a series expansion for observables, similar but not identical to the well-known form factor expansion. This expansion will be the basis for a characterization and explicit construction of local observables, to be discussed elsewhere. Here, we establish the expansion independent of the localization aspect, and analyze its behavior under space-time symmetries. We also clarify relations with deformation methods in quantum field theory, specifically, with the warped convolution in the sense of Buchholz and Summers.

AB - A large class of quantum field theories on 1+1 dimensional Minkowski space, namely, certain integrable models, has recently been constructed rigorously by Lechner. However, the construction is very abstract and the concrete form of local observables in these models remains largely unknown. Aiming for more insight into their structure, we establish a series expansion for observables, similar but not identical to the well-known form factor expansion. This expansion will be the basis for a characterization and explicit construction of local observables, to be discussed elsewhere. Here, we establish the expansion independent of the localization aspect, and analyze its behavior under space-time symmetries. We also clarify relations with deformation methods in quantum field theory, specifically, with the warped convolution in the sense of Buchholz and Summers.

UR - http://www.scopus.com/inward/record.url?scp=84874172329&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/46/9/095401

DO - 10.1088/1751-8113/46/9/095401

M3 - Article

SN - 1751-8113

VL - 46

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 9

M1 - 095401

ER -