121043298
On the construction of supersymmetric quantum mechanical Hamiltonian
Starting from an arbitrary supersymmetric quantum mechanical Hamilonian (SSQM) (with unbroken spersymmetry) we construct a sequence of SSQM Hamiltonians, each one having the same energy spectrum as the original one with different eigenvectors. The alogorithm developed here is verified for a transcendental type superpotential.
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.
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.
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.
120237473
An operatorially solved model of massless two-dimensional quantum chromodynamics
An operator solution is constructed in (1,1) dimensions to the massless quantum chromodynamics of n fermion quarks and n2 − 1 vector boson gluons with local colour SU(n) symmetry. The interacting quark field is a confined SU(n) Thirring field with zero Abelian coupling. The colour gluons are dependent Lie fields obeying the gluon-free fermionic current identity. Explicit local infinitesimal operator colour transformations (with an arbitrary coordinate-independent Lorentz vector coefficient defining the gauge) are given and the requirement of proper colour covariance linked to the vanishing of the coloured quark source currents and hence to the absence of coloured quark-composite states. The status of Noether's theorem is also clarified.
56445248
Developments in high energy theory
This non-technical review article is aimed at readers with some physics background, including beginning research students. It provides a panoramic view of the main theoretical developments in high energy physics since its inception more than half a century ago, a period in which experiments have spanned an enormous range of energies, theories have been developed leading up to the Standard Model, and proposals — including the radical paradigm of String Theory — have been made to go beyond the Standard Model. The list of references provided here is not intended to properly credit all original work but rather to supply the reader with a few pointers to the literature, specifically highlighting work done by Indian authors.
120198731
Spotting Glueballs in Collinear Gluon Jets
Abstract We suggest looking for pure gluon hadronic states (glueballs) in ϒ→ 3g → low spherically final state (collinear gluon jets). In these events one gluon has the maximum energy, Mϒ 2 , favouring fragmentation into a glueball. The signature for a true C = G + glueball is its prominence at the ϒ resonance in e + e − →ϒ → (glueball → four charged pions) + … and its absence in q q jets off (we do not expect significant quark fragmentation into glueballs).
121409119
Explicit operator solution to thirring model with U(n) symmetry
Abstract Two explicit solutions to the Thirring model with U( n ) symmetry are constructed following Klaiber's approach. Products of fields are obtained in terms of those for the free case and scale dimensions of composite operators are computed.
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.