121584805
Current-commutators and high energy hadron production in e+e− annihilation
Abstract We consider the asymptotic behavior of the structure-functions for the process e + e − → H + everything (where H is a detectable hadron) in terms of commutators involving the electromagnetic current.
22137804
Inclusive forward-backward asymmetry for light quarks.
The energy-differential forward-backward asymmetry in the reaction {ital e}{sup +}{ital e}{sup {minus}}{r arrow}M+ anything, {ital M} being a leading, light-quark-constituted meson in a jet, is considered. The measurement of this quantity yields rank-1 and higher-rank fragmentation functions for light quarks hadronizing into light mesons, separately. It is also possible, in the case of a large event sample and good particle identification capabilities at high energies, to obtain information on {ital Z} couplings to light quarks.
31086876
Stringent low-energy mass constraints in no-scale supergravity.
Spectacular mass constraints are shown to exist at low energies in minimal no-scale supergravity theories. The top quark cannot be too light, the lowest-lying Higgs particle cannot be too heavy, and the pseudoscalar Higgs boson must weigh nearly a quarter as much as the gluino.
44535961
Negative, anomaly-free, oblique radiative corrections.
Current electroweak precision measurements tend to prefer negative values of the oblique radiative parameters, {ital S} and {ital T}, relative to their standard-model expectations. This tendency is shown to be consistent with the existence of new colorless fermions in the anomaly-free combination of two doublets ({ital N}{sub 1},{ital E}){sub {ital L}} and ({ital E}{sup {ital c}},{ital N}{sub 2}){sub {ital L}} and one singlet {ital N}{sub 3{ital L}}, which are contained in some supersymmetric or {ital E}{sub 6} extensions of the standard model.
121460845
Spinor-inverted solution to thirring model and its generalization to U(n) symmetry
Abstract Using the properties of massless free Fermi fields in (1-1) dimensions, it is shown that the spinor inverted form of Klaiber's operator solution to Thirring model is also a scale-invariant solution of the model. But unlike the former it admits a nonvanishing SU(n) current coupling in the generalization of the model to include U(n) symmetry. The value of this coupling constant is fixed and equals Dashen-Frishman number −4π (n + 1) . The general form of the 2m-point function is given and operates product expansions are exhibited in terms of composite local operators. Scale dimensions of all the bilinear and quadrilinear local operators with U(n) symmetry are computed and are found to depend on n. However, different parts of a composite local operator belonging to different irreducible U(n) representations have the same dimension.
35680472
Identifying tau as a nonleptonic superparticle.
Given a lepton number L=1 for e, ν e , μ, and ν μ , all available data at present are compatible with L=0 for τ and ν τ . A model with such an assignment is shown to be as natural as the conventional one in a supersymmetric extension of the standard model. Processes such as pp (orpp)→τ ± τ ± + two quark jets as well as ep→ττ − + one quark jet+missing energy (p τ ) provide unique signatures of this possibility.
115157994
Non-hermitian quantum mechanics in non-commutative space
AbstractA recent investigation of the possibility of having a 
$\mathcal{PT}$
-symmetric periodic potential in an optical lattice stimulated the urge to generalize non-hermitian quantum mechanics beyond the case of commutative space. We thus study non-hermitian quantum systems in non-commutative space as well as a 
$\mathcal{PT}$
-symmetric deformation of this space. Specifically, a 
$\mathcal{PT}$
-symmetric harmonic oscillator together with an iC(x1+x2) interaction are discussed in this space, and solutions are obtained. We show that in the 
$\mathcal{PT}$ 
deformed non-commutative space the Hamiltonian may or may not possess real eigenvalues, depending on the choice of the non-commutative parameters. However, it is shown that in standard non-commutative space, the iC(x1+x2) interaction generates only real eigenvalues despite the fact that the Hamiltonian is not 
$\mathcal{PT}$
-symmetric. A complex interacting anisotropic oscillator system also is discussed.
121472335
Supersymmetry at high density
122355855
Comment on the ''Effect of a strong magnetic field and high temperature on broken gauge theories''
In a recent paper Chakrabarti has examined the effects of a strong magnetic field and high temperature on spontaneously broken gauge theories. We point out the invalidity of the approximation he has used to evaluate the one-loop effective potential. Using a rigorous and improved method, we obtain a result different from Chakrabarti's result. Further using this method we extend the results of the aforementioned paper by including fermions in the theory.
16476248
Supersymmetry of a spin particle on the real line
Abstract We study one dimensional supersymmetric (SUSY) quantum mechanics of a spin 1 2 particle moving in a rotating magnetic field and scalar potential. We also discuss SUSY breaking and it is shown that SUSY breaking essentially depends on the strength and period of the magnetic field. For a purely rotating magnetic field the eigenvalue problem is solved exactly and two band energy spectrum is found.
121026122
A Variational approach to the Liouville model
We perform a variational analysis of the Liouville model. In particular we evaluate the effective potential and examine the possibility of restoring translation invariance.