201233866
REMARK ON CONTACT INTERACTION OF SUPERSYMMETRIC ANYONS
We examine the possibility of contact interaction of anyons within the framework of a two-particle supersymmetric model. It is shown that anyons can be realized in a supersymmetric manner (except in two low lying states) and they do not feel contact interaction.
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.
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.
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.
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.
122010304
Partial diagonality of stress trace
The trace of the stress energy tensor is shown to be diagonal between two states whose total four-momenta are equal. Additional comments are made on certain matrix-elements of the time-derivative of the dilation charge.
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)
15317748
Radiative neutrino mass matrix for three active plus one sterile species
A simple unifying mass matrix is presented for the three active and one sterile neutrinose, �µ, ��, ands, using an extension of the radiative mechanism proposed some time ago by Zee. The total neutrino-oscillation data are explained by the scheme �e ↔ �s (solar), �µ ↔ �� (atmospheric) ande ↔ �µ (LSND). We obtain the inter- esting approximate relationship (�m 2 )atm ≃ 2((�m 2 )solar(�m 2 )LSND) 1/2 which is well
17021064
New constraints on lepton nonconserving R-parity violating couplings
Strong upper bounds are derived on certain product combinations of lepton nonconserving couplings in the minimal sypersymmetric standard model with explicit R-parity violation. The input is information from rare leptonic decays of the long-lived neutral kaon, the muon and the tau as well as from the mixings of neutral K- and B-mesons. One of these bounds is comparable and another superior to corresponding ones obtained recently from neutrinoless double beta decay.
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${\mathrm{fb}}^{-1}$.