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Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials

Applied Mathematics in Science and Engineering
This article introduces 2-variable q-Hermite matrix polynomials and delves into their complex representation, unravelling specific outcomes. The exploration encompasses the derivation of insightful identities for the q-cosine and q-sine analogues of the ...
Subuhi Khan, Hassan Ali, Mohammed Fadel
doaj   +5 more sources

Non-anomalous `Ward' identities to supplement large-Nmulti-matrix loop equations for correlations [PDF]

Journal of High Energy Physics, 2007
35 pages, reference added, minor typos corrected, published ...
Akant, L., Krishnaswami, G. S.
semanticscholar   +6 more sources

Equations of motion as constraints: superselection rules, Ward identities [PDF]

Journal of High Energy Physics, 2017
The meaning of local observables is poorly understood in gauge theories, not to speak of quantum gravity. As a step towards a better understanding we study asymptotic (infrared) transformations in local quantum physics.
M. Asorey, A. P. Balachandran, F. Lizzi, G. Marmo   +3 more
doaj   +3 more sources

Inversion identities for inhomogeneous face models

Nuclear Physics B, 2014
We derive exact inversion identities satisfied by the transfer matrix of inhomogeneous interaction-round-a-face (IRF) models with arbitrary boundary conditions using the underlying integrable structure and crossing properties of the local Boltzmann ...
Holger Frahm, Nikos Karaiskos
doaj   +3 more sources

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, A. Dhar, G. Mandal, S. Wadia   +3 more
semanticscholar   +3 more sources

Investigation of Matrices Q^(n._L ), M^(n._L ) and R^(n._L ) and Some Related Identities

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022
In this study, it is aimed to use the Lorenz matrix multiplication to find the n^th powers of some special matrices and to reach the quadratic equations and characteristic roots of the matrices obtained in this way. In addition, it is aimed to contribute
Ali Hikmet Değer, İbrahim Gökcan
doaj   +2 more sources

On refined Chern–Simons and refined ABJ matrix models [PDF]

Letters in Mathematical Physics, 2021
We consider the matrix model of U(N) refined Chern–Simons theory on S3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek ...
L. Cassia, M. Zabzine
semanticscholar   +2 more sources

Fuzzified Matrix Space and Solvability of Matrix Equations

Axioms
A fuzzified matrix space consists of a collection of matrices with a fuzzy structure, modeling the cases of uncertainty on the part of values of different matrices, including the uncertainty of the very existence of matrices with the given values.
Vanja Stepanović, Andreja Tepavčević
doaj   +2 more sources

Duality in non-Hermitian random matrix theory

Nuclear Physics B
We consider 9 Gaussian matrix ensembles characterized by single symmetry among the 38-fold symmetry classification classes of non-Hermitian random matrices, and establish exact duality formulae of certain observables between them.
Dang-Zheng Liu, Lu Zhang
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An algebraic approach to the scattering equations [PDF]

Journal of High Energy Physics, 2015
We employ the so-called companion matrix method from computational algebraic geometry, tailored for zero-dimensional ideals, to study the scattering equations.
Rijun Huang, Junjie Rao, Bo Feng, Yang-Hui He   +3 more
semanticscholar   +2 more sources