13891610
Conditionally Exactly Solvable Potentials: A Supersymmetric Construction Method☆
Abstract We present in this paper a rather general method for the construction of so-called conditionally exactly solvable potentials. This method is based on algebraic tools known from supersymmetric quantum mechanics. Various families of one-dimensional potentials are constructed whose corresponding Schrodinger eigenvalue problem can be solved exactly under certain conditions of the potential parameters. Examples of quantum systems on the real line and the half line as well as on some finite interval are studied in detail.
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.
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.
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.
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.
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.
120777598
Role of parton transverse momenta in polarized deep inelastic scattering
Abstract The transverse momenta of quark partons are shown to significantly dilute the moderate- Q 2 broken-SU (6) constraints on the leading spin-dependent deep inelastic electromagnetic structure function of the proton. A realistic calculation of the latter is performed incorporating these effects as well as those of the quantum chromodynamic evolution to higher Q 2 .
121250600
Exactly solvable two-dimensional U(n) gauge-field theory and its consequences
Thirring--Wess and Schwinger models generalized to U(n) symmetry are explicitly solved by using the operator solution to the U(n)-symmetric Thirring model. The gauge-invariant SU(n) current densities vanish identically, indicating the absence of colored physical states. The fermion screening mechanism occurs entirely due to the masslessness of the Abelian vector-boson field. There is no dynamical generation of mass for the non-Abelian vector bosons, which have to have zero mass for the solvability of the model. (AIP)
120850595
Two-loop versus new physics effects on oblique parameters
We utilize the recent calculation of the dominant two-loop radiative corrections to electroweak parameters to investigate higher order effects on the standard model predictions for the oblique parameters S, T and U. The variations of these contributions over a wide range of top quark and Higgs boson masses are investigated. The magnitude of two-loop effects is often greater than that of certain new physics scenarios beyond the standard model which have been considered in this context, and therefore must be taken into account first. However, two-loop effects never move both S and T simultaneously towad more negative values and therefore do not reduce the tantalizing 1 to 1.5σ discrepancy of the present data with the standard model.
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.
18893681
Beyond Standard Model : Report of Working Group II
Working group II at WHEPP3 concentrated on issues related to the supersymmetric standard model as well as SUSY GUTS and neutrino properties. The projects identified by various working groups as well as progress made in them since WHEPP3 are briefly reviewed.