Results 21 to 30 of about 6,894 (255)
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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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
semanticscholar +1 more source
W-infinity ward identities and correlation functions in the c=1 matrix model [PDF]
, 1991 We explore consequences of W-infinity symmetry in the fermionic field theory of the c=1 matrix model. We derive exact Ward identities relating correlation functions of the bilocal operator.
Sumit R. Das +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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Rainbow tensor model with enhanced symmetry and extreme melonic dominance
Physics Letters B, 2017 We introduce and briefly analyze the rainbow tensor model where all planar diagrams are melonic. This leads to considerable simplification of the large N limit as compared to that of the matrix model: in particular, what are dressed in this limit are ...
H. Itoyama, A. Mironov, A. Morozov
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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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Generalized Pseudospectral Method and Zeros of Orthogonal Polynomials
Advances in Mathematical Physics, 2018 Via a generalization of the pseudospectral method for numerical solution of differential equations, a family of nonlinear algebraic identities satisfied by the zeros of a wide class of orthogonal polynomials is derived.
Oksana Bihun, Clark Mourning
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Maximal cuts in arbitrary dimension
Journal of High Energy Physics, 2017 We develop a systematic procedure for computing maximal unitarity cuts of multiloop Feynman integrals in arbitrary dimension. Our approach is based on the Baikov representation in which the structure of the cuts is particularly simple. We examine several
Jorrit Bosma, Mads Sogaard, Yang Zhang
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Filomat, 2018 Let A=I-PQT, where P and Q are two n x 2 complex matrices of full column rank such that det(QTP)=0. We find all the commuting solutions of the quadratic matrix equation AXA = XAX.
Yin, Hui-Hui +3 more
openaire +3 more sources
Exact solution of the trigonometric SU(3) spin chain with generic off-diagonal boundary reflections
Nuclear Physics B, 2016 The nested off-diagonal Bethe ansatz is generalized to study the quantum spin chain associated with the SUq(3) R-matrix and generic integrable non-diagonal boundary conditions.
Guang-Liang Li +5 more
doaj +1 more source