Results 1 to 10 of about 143,530 (145)

Characterizing barren plateaus in quantum ansätze with the adjoint representation [PDF]

Nature Communications
Variational quantum algorithms, a popular heuristic for near-term quantum computers, utilize parameterized quantum circuits which naturally express Lie groups.
Enrico Fontana, Dylan Herman, Shouvanik Chakrabarti, Niraj Kumar, Romina Yalovetzky, Jamie Heredge, Shree Hari Sureshbabu, Marco Pistoia   +7 more
doaj   +2 more sources

Useful relations among the generators in the defining and adjoint representations of SU(N)

SciPost Physics Lecture Notes, 2021
There are numerous relations among the generators in the defining and adjoint representations of SU(N). These include Casimir operators, formulae for traces of products of generators, etc.
Howard E. Haber
doaj   +1 more source

Worldline description of a bi-adjoint scalar and the zeroth copy

Journal of High Energy Physics, 2021
Bi-adjoint scalars are helpful in studying properties of color/kinematics duality and the double copy, which relates scattering amplitudes of gauge and gravity theories. Here we study bi-adjoint scalars from a worldline perspective.
Fiorenzo Bastianelli, Francesco Comberiati, Leonardo de la Cruz   +2 more
doaj   +1 more source

GMOR relation for a QCD-like theory from S-duality

Physics Letters B, 2022
Following [1] we study a QCD-like gauge theory using a non-supersymmetric setup in type IIB string theory. The setup includes an O3 plane and N D3 anti-branes and it realises a USp(2N) ‘electric’ gauge theory with four “quarks” in the two-index ...
Adi Armoni, Henry Harper-Gardner
doaj   +1 more source

Models of Self-Adjoint and Unitary Operators in Pontryagin Spaces

Современная математика: Фундаментальные направления, 2022
This paper represents a revised version of the lectures, delivered by the author at KROMSH-2019. These lectures are devoted to describing a few different ways of constructing a model representation for self-adjoint and unitary operators acting in ...
V. A. Strauss
doaj   +1 more source

Universal Racah matrices and adjoint knot polynomials: Arborescent knots

Physics Letters B, 2016
By now it is well established that the quantum dimensions of descendants of the adjoint representation can be described in a universal form, independent of a particular family of simple Lie algebras.
A. Mironov, A. Morozov
doaj   +1 more source

Evidence for fractional topological charge in SU(2) pure Yang-Mills theory [PDF]

, 1998
We investigate the spectral flows of the hermitian Wilson-Dirac operator in the fundamental and adjoint representations on two ensembles of pure SU(2) gauge field configurations at the same physical volume.
Cohen, Edwards, Eguchi, Fingberg, Narayanan, Narayanan, Rajamani Narayanan, Robert G. Edwards, Shifman, t' Hooft, Urs M. Heller, Witten   +11 more
core   +3 more sources

Approximate symmetries of the perturbed KdV-KS equation [PDF]

Iranian Journal of Numerical Analysis and Optimization
The analysis of approximate symmetries in perturbed nonlinear partial differential equations $(PDEs)$ stands as a cornerstone for unraveling  complex physical behaviors and solution patterns.
A. Mohammadpouri, M.S. Hashemi, R. Abbasi, R. Abbasi   +3 more
doaj   +1 more source

Analysis of the vacuum solution of the five-dimensional Einstein field equations with negative cosmological constant via variational symmetries [PDF]

AUT Journal of Mathematics and Computing
The Kaluza-Klein theory can be reckoned as a classical unified field theory of two of the significant forces of nature gravitation and electromagnetism.
Fatemeh Ahangari
doaj   +1 more source

Gluino Condensation in an Interacting Instanton Ensemble [PDF]

, 2000
We perform a semi-classical study of chiral symmetry breaking and of the spectrum of the Dirac operator in QCD with adjoint fermions. For this purpose we calculate matrix elements of the adjoint Dirac operator between instanton zero modes and study their
A. I. Vainshtein, A. Kovner, A. Ritz, A. V. Smilga, C. G. Callan, D. Amati, D. Amati, D. Diakonov, D. I. Diakonov, D. I. Diakonov, D. Toublan, E. Cohen, E. V. Shuryak, G. C. Rossi, G. Veneziano, G. ’t Hooft, H. Leutwyler, I. Affleck, I. Affleck, I. Affleck, I. Campos, J. C. Osborn, J. Fuchs, J. J. M. Verbaarschot, J. J. M. Verbaarschot, J. W. Negele, K. Intriligator, M. A. Shifman, N. M. Davies, N. Seiberg, R. Kirchner, T. Banks, T. C. Kraan, T. C. Kraan, T. J. Hollowood, T. Schäfer, Thomas Schäfer, U. M. Heller, V. A. Fateev, V. A. Novikov, V. A. Novikov, V. A. Novikov, V. A. Novikov, Y. I. Kogan   +43 more
core   +2 more sources