Small eigenvalues of the staggered Dirac operator in the adjoint representation and Random Matrix Theory [PDF]
, 1999 The low-lying spectrum of the Dirac operator is predicted to be universal, within three classes, depending on symmetry properties specified according to random matrix theory.
R. Edwards, U. Heller, R. Narayanan
semanticscholar +1 more source
Chiral transition of fundamental and adjoint quarks
, 2014 The chiral symmetry breaking transition of quarks in the fundamental and adjoint representation is studied in a model where the gap equation contains two contributions, one containing a confining propagator and another corresponding to the exchange of ...
Capdevilla, R. M. +2 more
core +1 more source
THE ADJOINT REPRESENTATION OF QUANTUM ALGEBRA Uq(sl(2))
Journal of Nonlinear Mathematical Physics, 2009 Starting from any representation of the Lie algebra on the finite dimensional vector space V we can construct the representation on the space Aut(V). These representations are of the type of ad.
C. Burdik, O. Navrátil, S. Posta
semanticscholar +1 more source
On conjugating representations and adjoint representations of semisimple groups
Inventiones Mathematicae, 1988 where Ea is a direct sum of irreducible G-modules of highest weight 2. Here we consider the conjugating representation in arbitrary characteristic and prove the appropriate version of Richardson's Theorem (under small, and almost certainly unnecessary, characteristic/root-system restrictions).
openaire +2 more sources
Canonical Quantization of SU(3) Skyrme Model in a General Representation
, 2005 A complete canonical quantization of the SU(3) Skyrme model performed in the collective coordinate formalism in general irreducible representations. In the case of SU(3) the model differs qualitatively in different representations. The Wess-Zumino-Witten
D. Jurčiukonis +6 more
core +1 more source
Adjoint Majorana QCD2 at finite N
Journal of High Energy Physics, 2023 The mass spectrum of 1 + 1-dimensional SU(N) gauge theory coupled to a Majorana fermion in the adjoint representation has been studied in the large N limit using Light-Cone Quantization.
Ross Dempsey +3 more
doaj +1 more source
Embedding of the Georgi-Glashow SU(5) model in the superconformal algebra
Journal of High Energy Physics, 2023 We present a scheme to construct grand unified models based on the superconformal algebra and the inclusion of matter fields in the adjoint representation of supersymmetry. As an illustration, we implemented the Georgi-Glashow SU(5) model.
P. D. Alvarez, R. A. Chavez, J. Zanelli
doaj +1 more source
Non-self-adjoint resolutions of the identity and associated operators
, 2014 Closed operators in Hilbert space defined by a non-self-adjoint resolution of the identity $\{X(\lambda)\}_{\lambda\in {\mb R}}$, whose adjoints constitute also a resolution of the identity, are studied . In particular, it is shown that a closed operator
Inoue, A., Trapani, C.
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Automatic adjoint-based inversion schemes for geodynamics: reconstructing the evolution of Earth's mantle in space and time [PDF]
Geoscientific Model DevelopmentReconstructing the thermo-chemical evolution of Earth's mantle and its diverse surface manifestations is a widely recognised grand challenge for the geosciences.
S. Ghelichkhan +5 more
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BPS Center Vortices in Nonrelativistic SU(N) Gauge Models with Adjoint Higgs Fields
Advances in High Energy Physics, 2015 We propose a class of SU(N) Yang-Mills models, with adjoint Higgs fields, that accept BPS center vortex equations. The lack of a local magnetic flux that could serve as an energy bound is circumvented by including a new term in the energy functional ...
L. E. Oxman
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