Results 21 to 30 of about 7,086 (290)
Ward identities and combinatorics of rainbow tensor models [PDF]
, 2017 A bstractWe discuss the notion of renormalization group (RG) completion of non-Gaussian Lagrangians and its treatment within the framework of Bogoliubov-Zimmermann theory in application to the matrix and tensor models.
H. Itoyama +3 more
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The multicomponent KP hierarchy: differential Fay identities and Lax equations [PDF]
, 2010 In this paper, we show that four sets of differential Fay identities of an N-component KP hierarchy derived from the bilinear relation satisfied by the tau function of the hierarchy are sufficient to derive the auxiliary linear equations for the ...
L. Teo
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Explicit examples of DIM constraints for network matrix models [PDF]
, 2016 A bstractDotsenko-Fateev and Chern-Simons matrix models, which describe Nekrasov functions for SYM theories in different dimensions, are all incorporated into network matrix models with the hidden Ding-Iohara-Miki (DIM) symmetry.
H. Awata +7 more
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Solitons in lattice field theories via tight-binding supersymmetry
Journal of High Energy Physics, 2021 Reflectionless potentials play an important role in constructing exact solutions to classical dynamical systems (such as the Korteweg-de Vries equation), non-perturbative solutions of various large-N field theories (such as the Gross-Neveu model), and ...
Shankar Balasubramanian +2 more
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Symmetry preserving truncations of the gap and Bethe-Salpeter equations [PDF]
, 2016 Ward-Green-Takahashi (WGT) identities play a crucial role in hadron physics, e.g. imposing stringent relationships between the kernels of the one- and two-body problems, which must be preserved in any veracious treatment of mesons as bound-states.
D. Binosi +4 more
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Exact solution of matricial Φ23 quantum field theory
Nuclear Physics B, 2017 We apply a recently developed method to exactly solve the Φ3 matrix model with covariance of a two-dimensional theory, also known as regularised Kontsevich model. Its correlation functions collectively describe graphs on a multi-punctured 2-sphere.
Harald Grosse +2 more
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Finite size effects and the supersymmetric sine-Gordon models [PDF]
, 2003 We propose nonlinear integral equations to describe the groundstate energy of the fractional supersymmetric sine-Gordon models. The equations encompass the N = 1 supersymmetric sine-Gordon model as well as the phi(id,id,adj) perturbation of the SU(2)(L ...
Dunning, Clare
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Asymptotics of discrete β-corners processes via two-level discrete loop equations [PDF]
Probability and Mathematical Physics, 2019 We introduce and study stochastic particle ensembles which are natural discretizations of general $\beta$-corners processes. We prove that under technical assumptions on a general analytic potential the global fluctuations for the difference between two ...
E. Dimitrov, Alisa Knizel
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Combinatorics of KP hierarchy structural constants
European Physical Journal C: Particles and Fields, 2021 We investigate the structural constants of the KP hierarchy, which appear as universal coefficients in the paper of Natanzon–Zabrodin arXiv:1509.04472 . It turns out that these constants have a combinatorial description in terms of transport coefficients
A. Andreev +3 more
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Bi-Integrable and Tri-Integrable Couplings of a Soliton Hierarchy Associated with SO(3)
Advances in Mathematical Physics, 2017 Based on the three-dimensional real special orthogonal Lie algebra SO(3), by zero curvature equation, we present bi-integrable and tri-integrable couplings associated with SO(3) for a hierarchy from the enlarged matrix spectral problems and the enlarged ...
Jian Zhang, Chiping Zhang, Yunan Cui
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