scholarly journals Models for the BPS Berry connection

2020 ◽  
pp. 2150007
Author(s):  
Satoshi Ohya
Keyword(s):  
Ground State ◽  
Monotonic Function ◽  
Quantum Mechanical ◽  
Model Parameters ◽  
State Sector ◽  
Yang Mills ◽  
Systematic Construction ◽  
Mechanical Models

Motivated by the Nahm’s construction, in this paper, we present a systematic construction of Schrödinger Hamiltonians for a spin-1/2 particle where the Berry connection in the ground-state sector becomes the Bogomolny–Prasad–Sommerfield (BPS) monopole of SU(2) Yang–Mills–Higgs theory. Our construction enjoys a single arbitrary monotonic function, thereby creating infinitely many quantum-mechanical models that simulate the BPS monopole in the space of model parameters.

scholarly journals LOW ENERGY DYNAMICS OF MONOPOLES IN N=2 SYM WITH MATTER

1996 ◽  
Vol 11 (05) ◽  
pp. 367-379 ◽  
Author(s):  
MARTIN CEDERWALL ◽  
GABRIELE FERRETTI ◽  
BENGT E.W. NILSSON ◽  
PER SALOMONSON
Keyword(s):  
Gauge Group ◽  
Time Evolution ◽  
Low Energy ◽  
Quantum Mechanical ◽  
Fundamental Representation ◽  
Yang Mills ◽  
Energy Dynamics ◽  
Mechanical Models ◽  
Energy Approximation

We derive, for N=2 super-Yang-Mills with gauge group SU(2) and massless matter, the supersymmetric quantum mechanical models describing the time evolution of multimonopole configurations in the low energy approximation. This is a first step towards identifying the solitonic states mapped to fundamental excitations by duality in the model with four hypermultiplets in the fundamental representation.

scholarly journals MASS DEFORMATIONS OF SUPER YANG–MILLS THEORIES IN D = 2 + 1, AND SUPER-MEMBRANES: A NOTE

2009 ◽  
Vol 24 (03) ◽  
pp. 193-211 ◽  
Author(s):  
ABHISHEK AGARWAL
Keyword(s):  
Quantum Mechanics ◽  
Gauge Theories ◽  
Mass Term ◽  
Quantum Mechanical ◽  
Explicit Formulas ◽  
Yang Mills ◽  
Mechanical Models ◽  
Mass Terms ◽  
Matter Fields ◽  
Matrix Quantum

Mass deformations of supersymmetric Yang–Mills theories in three spacetime dimensions are considered. The gluons of the theories are made massive by the inclusion of a nonlocal gauge and Poincaré invariant mass term due to Alexanian and Nair, while the matter fields are given standard Gaussian mass-terms. It is shown that the dimensional reduction of such mass-deformed gauge theories defined on R3 or R × T2 produces matrix quantum mechanics with massive spectra. In particular, all known massive matrix quantum mechanical models obtained by the deformations of dimensional reductions of minimal super Yang–Mills theories in diverse dimensions are shown also to arise from the dimensional reductions of appropriate massive Yang–Mills theories in three spacetime dimensions. Explicit formulas for the gauge theory actions are provided.

scholarly journals SUPERSYMMETRY: A CONSEQUENCE OF SMOOTHNESS?

2002 ◽  
Vol 17 (15) ◽  
pp. 2073-2093
Author(s):  
H. B. NIELSEN ◽  
S. PALLUA ◽  
P. PRESTER
Keyword(s):  
Ground State ◽  
Vacuum Energy ◽  
Point Of View ◽  
Quantum Mechanical ◽  
Ground State Properties ◽  
Mechanical Models ◽  
Supersymmetric Theories

The consequences of certain simple assumptions like smoothness of ground state properties and vanishing of the vacuum energy (at least perturbatively) are explored. It would be interesting from the point of view of building realistic theories to obtain these properties without supersymmetry. Here we show, however, at least in some quantum mechanical models, that these simple assumptions lead to supersymmetric theories.

The Riccati–Padé quantization method for one-dimensional quantum-mechanical models

1996 ◽  
Vol 74 (9-10) ◽  
pp. 697-700 ◽  
Author(s):  
Francisco M. Fernández ◽  
R. H. Tipping
Keyword(s):  
Ground State ◽  
Logarithmic Derivative ◽  
Quantum Mechanical ◽  
Quantization Method ◽  
Anharmonic Oscillators ◽  
Eigenvalues And Eigenfunctions ◽  
One Dimensional ◽  
Continuum States ◽  
Separable Models ◽  
Mechanical Models

We improve on a previously developed method for the calculation of accurate eigenvalues and eigenfunctions of separable models in quantum mechanics. It consists of the approximation of the logarithmic derivative of the eigenfunction by means of a rational function or Padé approximant. Here we modify the approach by the separation of the function just mentioned into its odd and even parts, thus making the procedure more efficient for treating asymmetric one-dimensional potentials. We obtain the ground-state eigenvalue of anharmonic oscillators with one and two wells and the lowest resonances of anharmonic oscillators that support only continuum states.

STRUCTURE, STABILITY, AND ELECTRONIC PROPERTIES OF LARGE FULLERENES

1993 ◽  
Vol 07 (26) ◽  
pp. 4305-4329 ◽  
Author(s):  
C.Z. WANG ◽  
B.L. ZHANG ◽  
K.M. HO ◽  
X.Q. WANG
Keyword(s):  
Total Energy ◽  
Electronic Properties ◽  
Ground State ◽  
Relative Stability ◽  
Chemical Reactivity ◽  
Structure Stability ◽  
Quantum Mechanical ◽  
Efficient Scheme ◽  
Ground State Structures ◽  
Fullerene Clusters

The recent development in understanding the structures, relative stability, and electronic properties of large fullerenes is reviewed. We describe an efficient scheme to generate the ground-state networks for fullerene clusters. Combining this scheme with quantum-mechanical total-energy calculations, the ground-state structures of fullerenes ranging from C 20 to C 100 have been studied. Fullerenes of sizes 60, 70, and 84 are found to be energetically more stable than their neighbors. In addition to the energies, the fragmentation stability and the chemical reactivity of the clusters are shown to be important in determining the abundance of fullerene isomers.

On the stability of the perturbative ground state in non-abelian Yang-Mills theories

1985 ◽  
Vol 154 (5-6) ◽  
pp. 411-417 ◽  
Author(s):  
Maurizio Consoli ◽  
Giuliano Preparata
Keyword(s):  
Ground State ◽  
Yang Mills ◽  
The Stability
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