121781132
Comment on “A novel class of isospectral deformations in supersymmetric quantum mechanics” by B. Jensen, JHEP 11(2011)059
A bstractWe re-examine the deformation of supersymmetric quantum mechanics considered in ref [1] and show that it is identically same as the deformation considered earlier by a number of authors [2-4].
8406718
Motion of a spin-½ particle in shape invariant scalar and magnetic fields
We study the motion of a spin-½ particle in a scalar as well as a magnetic field within the framework of supersymmetric quantum mechanics. We also introduce the concept of shape invariant scalar and magnetic fields and it is shown that the problem admits exact analytical solutions when such fields are considered.
14129154
A new class of PT-symmetric Hamiltonians with real spectra
Abstract We investigate complex PT-symmetric potentials, associated with quasi-exactly solvable non-Hermitian models involving polynomials and a class of rational functions. We also look for special solutions of intertwining relations of SUSY quantum mechanics providing a partnership between a real and a complex PT-symmetric potential of the kind mentioned above. We investigate conditions sufficient to ensure the reality of the full spectrum or, for the quasi-exactly solvable systems, the reality of the energy of the finite number of levels.
120571457
Supersymmetric anyon quantum mechanics
Abstract We develop a framework for anyons within supersymmetric quantum mechanics. We prove that supersymmetry can be realized spectrally but necessarily requires a contact interaction which modifies in a specific way the usual regularity condition of the wavefunction at the origin.
119751583
On supersymmetry and random sources
We evaluate the one loop effective potential for the supersymmetric Higgs model in the presence of a gaussian random source and examine supersymmetry breaking at the one loop level.
119312840
'Stringy' Coherent States Inspired By Generalized Uncertainty Principle
Abstract Coherent States with Fractional Revival property, that explicitly satisfy the Generalized Uncertainty Principle (GUP), have been constructed in the context of Generalized Harmonic Oscillator. The existence of such states is essential in motivating the GUP based phenomenological results present in the literature which otherwise would be of purely academic interest. The effective phase space is Non-Canonical (or Non-Commutative in popular terminology). Our results have a smooth commutative limit, equivalent to Heisenberg Uncertainty Principle. The Fractional Revival time analysis yields an independent bound on the GUP parameter. Using this and similar bounds obtained here, we derive the largest possible value of the (GUP induced) minimum length scale. Mandel parameter analysis shows that the statistics is Sub-Poissonian. Correspondence Principle is deformed in an interesting way. Our computational scheme is very simple as it requires only first order corrected energy values and undeformed basis states.
121319624
Explicit classical solutions to Euclidean Yang-Mills theory with spherical symmetry
All real classical solutions of the SU(2) Yang-Mills theory with spherical symmetry in 4-dimensional Euclidean space are constructed analytically and catalogued. The uniqueness of the solution of Belavinet al in possessing finite action is explicitly demonstrated.
16313257
Oblique electroweak corrections and triple vector boson couplings
We relate all $C$-- and $P$--invariant anomalous triple vector--boson couplings to the oblique electroweak parameters. LEP constraints on the latter then yield the strongest and most general simultaneous bounds to date on the former. Even if the oblique parameters assume their Standard Model values precisely, these bounds would not shrink to zero---thus underscoring the need for direct experimental probes at future colliders.
9102072
Bilarge neutrino mixing from supersymmetry breaking: The Role of high-scale parameters
We show how a bilarge neutrino mixing pattern can arise in a broken supersymmetric theory, in such a way that the difference with quark mixing is explained. Our basic assumption is that this difference is due to nonrenormalizable interactions involving hidden sector fields. Such interactions lend lepton number violating mass terms to both the right-handed neutrino and sneutrino fields. A superpotential containing an array of gauge singlet chiral superfields, together with a combination of seesaw and radiative contributions lead us to a neutrino mass matrix which, for some natural parametric choices, can have the structure needed for bilarge mixing. Allowed ranges of parameters in the gauge singlet sector are delineated, corresponding to each of the cases of normal hierarchy, inverted hierarchy and degenerate neutrinos. PACS indices: 12.60.Jv, 14.60.Lm, 14.60.Pq, 14.60.St Electronic address: biswarup@mri.ernet.in Electronic address: probir@theory.tifr.res.in Electronic address: srikanth@mri.ernet.in
118994828
Supersymmetric lepton flavor violation in a linear collider: the role of charginos
Abstract. The occurrence of significant supersymmetric lepton flavor violation at laboratory energies, through $\tilde\nu_\mu $–$\tilde\nu_\tau$ mixing, has become a realistic possibility in the wake of the super-Kamiokande atmospheric neutrino result. This effect can be observed in an $e^+e^-$ linear collider with the distinct final state $\tau \mu+{\mathrm{jets}} + {E\!\!\!/}_T$. We show that the pair production of charginos can make an important contribution to this process and has to be taken into account in addition to that of sneutrinos or charged sleptons. Some case studies are presented with CM energies of 500 and 800GeV and integrated luminosities of 50, 500 and 1000${\mathrm{fb}}^{-1}$.
9800959
A new proposal for glueball exploration in hard gluon fragmentation
An unambiguous identification of glueballs in experiments will be of great significance, because their existence is an important test of QCD. The proposal, advanced here, is to experimentally search for glueballs as peaks in the invariant mass of a leading KS-pair fragmenting from an energetic gluon jet out of high-statistics three-jet events in hadronic decays of the weak neutral Z boson. Using a physically motivated model of the gluon-glueball fragmentation function, we find a substantial fragmentation rate into a leading glueball. It is very likely that a search, along the lines suggested here by any of the four groups at the Large Electron Positron collider at CERN, will prove fruitful.