Multiparticle form factors of the principal chiral model at large<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>

Cubero, Axel Cortés

doi:10.1103/physrevd.86.025025

Cited by 13 publications

(24 citation statements)

References 17 publications

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“…These were found in the 't Hooft limit in Ref. [7]. For finite N , only the two-particle form factor is found in the same paper.…”

Section: Discussionsupporting

confidence: 51%

“…This calculation has been done before in Reference [5] for the SU (2) gauge group. We show here how to generalize this result for N > 2 using the form factors from Reference [7].…”

Section: The Vertical String Tensionmentioning

confidence: 67%

“…Recently some form factors of the PCSM for general N > 2 have been found [7], which allow us to generalize Orland's result to the gauge group SU (N ).…”

Section: Longitudinally Rescaled Yang-mills Hamiltonian In the Axmentioning

confidence: 73%

“…For the rest of this section we work exclusively in the large-N limit. The form factors of the sigma model at large N were found in references [7], [23], [27], and are reviewed in the appendix.…”

Section: Vertical Correlation Functionsmentioning

confidence: 99%

“…This is done using new form factors of the PCSM that were found in Ref. [7]. We also use the light glueball states to calculate long-distance correlation functions of gauge-invariant operators.…”

Section: Introductionmentioning

confidence: 99%

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(2+1)-dimensional Yang-Mills theory and form factor perturbation theory

Cubero¹

2014

Phys. Rev. D

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We study Yang Mills theory in 2+1 dimensions, as an array of coupled (1+1)-dimensional principal chiral sigma models. This can be understood as an anisotropic limit where one of the space-time dimensions is discrete and the others are continuous. The SU (N ) × SU (N ) principal chiral sigma model in 1+1 dimensions is integrable, asymptotically free and has massive excitations. New exact form factors and correlation functions of the sigma model have recently been found by the author and P. Orland. In this paper, we use these new results to calculate physical quantities in (2+1)-dimensional Yang-Mills theory, generalizing previous SU (2) results by Orland, which include the string tensions and the low-lying glueball spectrum. We also present a new approach to calculate two-point correlation functions of operators using the light glueball states. The anisotropy of the theory yields different correlation functions for operators separated in the x 1 and x 2 -directions.

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“…These were found in the 't Hooft limit in Ref. [7]. For finite N , only the two-particle form factor is found in the same paper.…”

Section: Discussionsupporting

confidence: 51%

“…This calculation has been done before in Reference [5] for the SU (2) gauge group. We show here how to generalize this result for N > 2 using the form factors from Reference [7].…”

Section: The Vertical String Tensionmentioning

confidence: 67%

“…Recently some form factors of the PCSM for general N > 2 have been found [7], which allow us to generalize Orland's result to the gauge group SU (N ).…”

Section: Longitudinally Rescaled Yang-mills Hamiltonian In the Axmentioning

confidence: 73%

Section: Vertical Correlation Functionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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(2+1)-dimensional Yang-Mills theory and form factor perturbation theory

Cubero¹

2014

Phys. Rev. D

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gauge theories at large

2013

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We review the theoretical developments and conceptual advances that stemmed from the generalization of QCD to the limit of a large number of color charges, originally proposed by 't Hooft. Then, after introducing the gauge-invariant non-perturbative formulation of non-Abelian gauge theories on a spacetime lattice, we present a selection of results from recent lattice studies of theories with a different number of colors, and the findings obtained from their extrapolation to the 't Hooft limit. We conclude with a brief discussion and a summary.

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Planar quantum quenches: computation of exact time-dependent correlation functions at largeN

Cubero¹

2016

J. Stat. Mech.

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We study a quantum quench of an integrable quantum field theory in the planar infinite-N limit. Unlike isovector-valued O(N ) models, matrix-valued field theories in the infinite-N limit are not solvable by the Hartre-Fock approximation, and are nontrivial interacting theories. We study quenches with initial states that are color-charge neutral, correspond to integrability-preserving boundary conditions, and that lead to nontrivial correlation functions of operators. We compute exactly at infinite N , the time-dependent one-and two-point correlation functions of the energymomentum tensor and renormalized field operator after this quench using known exact form factors. This computation can be done fully analytically, due the simplicity of the initial state and the form factors in the planar limit. We also show that this type of quench preserves factorizability at all times, allows for particle transmission from the pre-quench state, while still having nontrivial interacting post-quench dynamics. * Electronic address: acortes@sissa.it arXiv:1604.03879v2 [cond-mat.stat-mech]

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Multiparticle form factors of the principal chiral model at largeN

Abstract: We study the sigma model with SU (N ) × SU (N ) symmetry in 1 + 1 dimensions. The two-and four-particle form factors of the Noether current operators are found, by combining the integrablebootstrap method with the large-N expansion.

Cited by 13 publications

References 17 publications

(2+1)-dimensional Yang-Mills theory and form factor perturbation theory

(2+1)-dimensional Yang-Mills theory and form factor perturbation theory

gauge theories at large

Planar quantum quenches: computation of exact time-dependent correlation functions at largeN

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