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Showing 1 to 20 of 70 for “"SU(2)"”.
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Complexity One Hamiltonian SU(2) and SO(3) Actions
Main Theorem. (Local Uniqueness over 0). Let G be SU(2) or SO(3). Let (M, o, phi), and (M', o', phi ') be six dimensional compact connected Hamiltonian G-manifolds such that 0 ∈ phi(M) = phi '(M'). There exists an invariant neighborhood V of 0 in g* over which the Hamiltonian G-manifolds are …
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Pointwise and uniform convergence of fourier series on SU(2)
… Lipschitz function on the special unitary group SU (2). We prove that the Fourier partial sums of f converge to f uniformly on SU (2), thereby extending theorems of Caccioppoli, Mayer, and a special case of Ragozin. Pointwise convergence theorems for the Fourier series of functions on SU (2), due …
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On the SU(2) theory of the t-J model
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Physics, 1999.
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Topological structure in classical and quantum SU(2)-Higgs theories
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 1997.
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Stability of an oscillon un the SU (2) gauged Higgs model
… long-lived oscillons the spherical ansatz of the SU(2) gauged Higgs model -the standard model of the weak interactions without electromagnetism and fermions. In this thesis, we study the stability of these objects. We do this by adding a massless mode to the model and coupling it to the …
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Time-evolution of SU(2) lattice gauge theory on a quantum computer
Lattice Gauge Theory is a mathematical tool used to study the forces of nature, like Quantum Electrodynamics and Quantum Chromodynamics. Quantum computers offer an alternative to classical computers in studying these forces. In my thesis, a gate-based quantum computer was used to perform …
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Aspects of SU(2|4) symmetric field theories and the Lin-Maldacena geometries
… of this duality in which the field theories have SU(2|4) supersymmetry and discrete sets of vacuum solutions. Specifically, we use the duality to propose Lagrangian definitions of type IIA Little String Theory on S⁵ as double-scaling limits of the Plane-Wave Matrix Model, maximally supersymmetric …
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Confinement and Chiral Phase Transitions in SU(2) Gauge Theory via Topological Objects
… theory of the strong interaction between subatomic particles. A theoretical understanding of these transitions and their interrelations is of fundamental importance. While it is widely perceived that their dynamics arises from nontrivial topological configurations in Yang-Mills theories, a …
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Gauge -Balls, Glueballs and Monopoles in Pure U(1), SU(2) Lattice Gauge Theories
… and glueballs are studied in pure U(1) and SU(2) Lattice Gauge Theories. In the U(1) theory, numerical measurements of gauge-ball masses are carried out on link and monopole configurations at beta = 1.01 on the 164 lattice to determine if magnetic monopoles can account for the lightest …
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Gauge-balls, glueballs and monopoles in pure U(1), SU(2) lattice gauge theories
… and glueballs are studied in pure U(1) and SU(2) Lattice Gauge Theories. In the U(1) theory, numerical measurements of gauge-ball masses are carried out on link and monopole configurations at β = 1.01 on the 16^4 lattice to determine if magnetic monopoles can account for the lightest …
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The Staggered Chiral Perturbation Theory In The Two-Flavor Case And Su(2) Chiral Analysis Of The Milc Data
… masses and the taste splittings, I show that the SU(2) staggered chiral theory emerges from the SU(3) staggered chiral theory, as expected. Explicit relations between SU(2) and SU(3) low energy constants and taste-violating parameters are given. The results are useful for SU(2) chiral fits to …
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Pions and vector mesons at finite temperature from QCD sum rules
… Gell-Mann, Oakes and Renner(GMOR) relation in SU(2) X SU(2), the temperature behaviour of the pion mass and the q2 and T dependence of the ρππ vertex function in the space-like region are investigated.
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Anomalies and the Standard Model of Particle Physics
… constructed as a gauge field theory, it is also subject to these anomalies. Here we explore subtleties in anomalies that could arise from the Standard Model and also use them to provide a consistency check as we explore its phase diagram. We start by reexamining local anomaly cancellation in the …
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Studies of lepton and quark interactions
… Current All possible experiments which test the SU(2)<sub>L</sub> x U(1)<sub>R</sub> x U(1)<sub>B-L</sub> model and SU(2)<sub>L</sub> x SU(2)<sub>R</sub> x U(1)<sub>B-L</sub> model using the LEP e⁺e⁻ collider and HERA e⁻p collider are calculated and the most sensitive experiments are examined. …
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Topological Objects and Confinement in Non-Abelian Lattice Gauge Theory
… objects and the confining potential in SU(2) and SU(3) Yang-Mills theories. We use Monte Carlo techniques, generating and performing measurements on sample configurations of SU(2) and SU(3) gauge fields. We isolate topological objects, specifically Abelian monopoles and center vortices, …
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Numerical studies of the critical behaviour of non-commutative field theories
… critical behaviour of matrix models with builtin SU(2) geometry by using Hybrid Monte Carlo (HMC) techniques. The first system under study is a matrix regularization of the φ4 theory defined on the sphere. We develop a HMC algorithm together with an SU(2) gauge-fixing procedure in order to study …
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Topics in quantum topology
… joint work with Gilmer, we define an index two subcategory of a 3-dimensional cobordism category. The objects of the category are surfaces equipped with Lagrangian subspaces of their real first homology. This generalizes the result of [9] where surfaces are equipped with Lagrangian subspaces of …
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Métodos analíticos para el tratamiento de potenciales anarmónicos en física molecular
… y aplicaciones físicas disimiles. El modelo SU(2) forma parte de los llamad os métodos algebraicos, es puramente fenomenológico y hace uso de las técnicas matemáticos de la teoría de grupos. Esta teoría proporciona un conjunto de procedimientos que se utilizan para el ajuste y la predicción …
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SOLUTIONS OF MATTER-COUPLED HALF-MAXIMAL GAUGED SUPERGRAVITY IN FOUR AND FIVE DIMENSIONS
… solutions of matter-coupled half- maximal gauged supergravity (SUGRA) in four and five dimensions using the embedding tensor formalism. In the first part, we study the 5D N = 4 gauged supergravity coupled to five vector multiplets with compact gauge group U(1) × SU(2) × SU(2), as well as …
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Group theory predictions for B --> M₁M₂M₃
… for B mesons decaying to MMM, in the limit of SU(2) isospin and in the limit of SU(3) quark flavor symmetry. Our results are classified according to the relative angular momentum of mesons in the final states. When all the mesons have relative even angular momentum, there are 56 decay channels …
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