scholarly journals A NOTE ON THE ADJOINT REPRESENTATION AND ONE PARAMETER SUBGROUP OF SU(2)

2021 ◽  
Vol 26 (2) ◽  
pp. 139-147
Author(s):  
U. E. Edeke ◽  
J. A. Abuchu
Keyword(s):  
Adjoint Representation

scholarly journals ON THE QUANTUM CHROMODYNAMICS OF A MASSIVE VECTOR FIELD IN THE ADJOINT REPRESENTATION

2013 ◽  
Vol 28 (14) ◽  
pp. 1350054 ◽  
Author(s):  
ALFONSO R. ZERWEKH
Keyword(s):  
Vector Field ◽  
Quantum Chromodynamics ◽  
Extra Dimensions ◽  
Scalar Fields ◽  
Discrete Symmetry ◽  
Adjoint Representation ◽  
Coupling Constants ◽  
Gauge Symmetries ◽  
Gauge Fixing ◽  
Definition Of

In this paper, we explore the possibility of constructing the quantum chromodynamics of a massive color-octet vector field without introducing higher structures like extended gauge symmetries, extra dimensions or scalar fields. We show that gauge invariance is not enough to constraint the couplings. Nevertheless, the requirement of unitarity fixes the values of the coupling constants, which otherwise would be arbitrary. Additionally, it opens a new discrete symmetry which makes the coloron stable and avoid its resonant production at a collider. On the other hand, a judicious definition of the gauge fixing terms modifies the propagator of the massive field making it well-behaved in the ultraviolet limit. The relation between our model and the more general approach based on extended gauge symmetries is also discussed.

Effective action for adjoint representation Higgs-SU(N) gauge systems on a lattice

1985 ◽  
Vol 164 (4-6) ◽  
pp. 342-346 ◽  
Author(s):  
Peter Suranyi
Keyword(s):  
Effective Action ◽  
Adjoint Representation ◽  
Gauge Systems

scholarly journals DRINFELD TWIST FOR QUANTUM su(2) IN THE ADJOINT REPRESENTATION

1998 ◽  
Vol 13 (27) ◽  
pp. 2213-2226
Author(s):  
CHRYSSOMALIS CHRYSSOMALAKOS
Keyword(s):  
Identical Particle ◽  
Adjoint Representation ◽  
R Matrix ◽  
Drinfeld Twist ◽  
Twist Element

We give a detailed description of the adjoint representation of Drinfeld's twist element, as well as its coproduct, for su q(2). We also discuss, as applications, the computation of the universal R-matrix in this representation and the problem of symmetrization of identical-particle states with quantum su(2) symmetry.

The deduction of the Lax representation for constrained flows from the adjoint representation

1993 ◽  
Vol 26 (5) ◽  
pp. L273-L278 ◽  
Author(s):  
Yunbo Zeng ◽  
Yishen Li
Keyword(s):  
Adjoint Representation ◽  
Lax Representation

Hodge Representations and Hodge Domains

2012 ◽  
Author(s):  
Mark Green ◽  
Phillip Griffiths ◽  
Matt Kerr
Keyword(s):  
Linear Algebra ◽  
Algebraic Groups ◽  
Adjoint Representation ◽  
Structure Theory ◽  
Classical Groups ◽  
Hodge Structures ◽  
Standard Material ◽  
Exceptional Groups ◽  
The Relationship

This chapter deals with Hodge representations and Hodge domains. For general polarized Hodge structures, it considers which semi-simple ℚ-algebraic groups M can be Mumford-Tate groups of polarized Hodge structures, the different realizations of M as a Mumford-Tate group, and the relationship among the corresponding Mumford-Tate domains. The chapter uses standard material from the structure theory of semisimple Lie algebras and their representation theory. The discussion covers the adjoint representation and characterization of which weights give faithful Hodge representations, the classical groups and the exceptional groups, and Mumford-Tate domains as particular homogeneous complex manifolds. The examples concerning the classical groups illustrate both the linear algebra and Vogan diagram methods.

Singular orbits of the adjoint representation of the Lie groups SO(n)

1996 ◽  
Vol 51 (3) ◽  
pp. 541-542 ◽  
Author(s):  
A Boyarskii ◽  
T Skrypnik
Keyword(s):  
Lie Groups ◽  
Adjoint Representation ◽  
Singular Orbits

scholarly journals THE ADJOINT REPRESENTATION OF QUANTUM ALGEBRA Uq(sl(2))

2009 ◽  
Vol 16 (1) ◽  
pp. 63-75 ◽  
Author(s):  
Č. BURDÍK ◽  
O. NAVRÁTIL ◽  
S. POŠTA
Keyword(s):  
Adjoint Representation ◽  
Quantum Algebra

scholarly journals COHERENT STATES IN GRAVITATIONAL QUANTUM MECHANICS

2013 ◽  
Vol 22 (02) ◽  
pp. 1350004 ◽  
Author(s):  
POURIA PEDRAM
Keyword(s):  
Quantum Gravity ◽  
Coherent States ◽  
Scale Effects ◽  
Black Hole Physics ◽  
Probability Distributions ◽  
Planck Scale ◽  
Experimental Tests ◽  
Heisenberg Algebra ◽  
Adjoint Representation ◽  
Weight Functions

We present the coherent states of the harmonic oscillator in the framework of the generalized (gravitational) uncertainty principle (GUP). This form of GUP is consistent with various theories of quantum gravity such as string theory, loop quantum gravity and black-hole physics and implies a minimal measurable length. Using a recently proposed formally self-adjoint representation, we find the GUP-corrected Hamiltonian as a generator of the generalized Heisenberg algebra. Then following Klauder's approach, we construct exact coherent states and obtain the corresponding normalization coefficients, weight functions and probability distributions. We find the entropy of the system and show that it decreases in the presence of the minimal length. These results could shed light on possible detectable Planck-scale effects within recent experimental tests.

scholarly journals A new solution of the Yang-Baxter equation related to the adjoint representation of UqB2

1994 ◽  
Vol 27 (6) ◽  
pp. 1999-2009
Author(s):  
Zhong-Qi Ma ◽  
An-Ying Dai
Keyword(s):  
Adjoint Representation ◽  
Baxter Equation
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