Towards an explicit construction of the sine-Gordon field theory

Schroer, Bert; Truong, T.T.; Weisz, Peter

doi:10.1016/0370-2693(76)90386-5

Cited by 92 publications

(77 citation statements)

References 4 publications

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“…These elementary particles form bound states that obey a sine formula [5] m r = m sin( πr N ) sin( π N ) , r = 1, ..., N − 1,…”

Section: The Exact S-matrix and Multiparticle Statesmentioning

confidence: 99%

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Multiparticle form factors of the principal chiral model at largeN

Cubero

2012

Phys. Rev. D

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“…These elementary particles form bound states that obey a sine formula [5] m r = m sin( πr N ) sin( π N ) , r = 1, ..., N − 1,…”

Section: The Exact S-matrix and Multiparticle Statesmentioning

confidence: 99%

“…To express the functionŜ(θ, N ), presented in (II.6), in the form (IV.4), we use the integral formula of the gamma function [11], [12], 5) for N > 2. We use the formula [9] sin π 2 (z + a)…”

Section: Smirnov's Axioms and The Two-particle Form Factorsmentioning

confidence: 99%

Multiparticle form factors of the principal chiral model at largeN

Cubero

2012

Phys. Rev. D

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“…A sine-law bound-state mass spectrum is a general feature of any integrable theory with an attractive interaction and one fundamental particle [15]. In the planar limit, N → ∞, with m > 0 fixed and m r finite, the binding energy vanishes, except for r = N − 1.…”

Section: The Principal Chiral Modelmentioning

confidence: 99%

Correlation functions of theSU(∞)principal chiral model

Cubero

Orland

2013

Phys. Rev. D

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We obtain exact matrix elements of physical operators of the (1+1)-dimensional nonlinear sigma model of an SU(N )-valued bare field, in the 't Hooft limit N → ∞. Specifically, all the form factors of the Noether current and the stress-energy-momentum tensor are found with an integrable bootstrap method. These form factors are used to find vacuum expectation values of products of these operators.

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“…в терминах S-матрицы, восходит к Гейзенбергу [1] и Чу [2]. Этот подход оказался очень удачным для интегрируемых квантовых теорий поля в размерности 1 + 1 [3]- [8]. Данная программа не исходит из какого-либо классического лагран-жиана.…”

Section: Introductionunclassified