119370491
Oblique corrections and the quadratic approximation in electroweak precision testing
This paper is withdrawn. A revised and expanded version of this work is available as hep-ph/9603323.
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.
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.
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.
125018064
Supersymmetry working group report, 'From strings to LHC' workshop, Goa, (January, 2007)
122353884
Parton description of the forward peak in single particle electroproduction with highly virtual photons
The parton mode or the reaction eN→eAB (N = nucleon, A, B = hadrons) in the fixed ω Bj limit is used to discuss the width of the corresponding forward peak as a function of the photon mass.
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.
121137215
Novel perturbation expansion for the Langevin equation
We discuss the randomly driven systemdx/dt= -W(x) +f(t), wheref(t) is a Gaussian random function or stirring force with〈f(t)f(t′)〉=2δ(t−t′), andW(x) is of the formgx1+2δ. The parameterδ is a measure of the nonlinearity of the equation. We show how to obtain the correlation functions〈x(t)f(t′)〉···x(t(n))〉f as a power series inδ. We obtain three terms in theδ expansion and show how to use Padé approximants to analytically continue the answer in the variableδ. By using scaling relations, we show how to get a uniform approximation to the equal-time correlation functions valid for allg andδ.
15254404
Non-linear coherent states associated with conditionally exactly solvable problems
Abstract Recently, based on a supersymmetric approach, new classes of conditionally exactly solvable problems have been found. These systems exhibit a symmetry structure characterized by non-linear algebras. In this paper the associated “non-linear” coherent states are constructed and some of their properties are discussed in detail.
117085756
On Pseudo-Hermitian Hamiltonians
We investigate some questions on the construction of $\eta$ operators for pseudo-Hermitian Hamiltonians. We give a sufficient condition which can be exploited to systematically generate a sequence of $\eta$ operators starting from a known one, thereby proving the non-uniqueness of $\eta$ for a particular pseudo-Hermitian Hamiltonian. We also study perturbed Hamiltonians for which $\eta$'s corresponding to the original Hamiltonian still work.
119146278
Pseudo-Hermitian generalized Dirac oscillators
Abstract We study generalized Dirac oscillators with complex interactions in ( 1 + 1 ) dimensions. It is shown that for the choice of interactions considered here, the Dirac Hamiltonians are η -pseudo-Hermitian with respect to certain metric operators η . Exact solutions for the generalized Dirac oscillator for some choices of the interactions have also been obtained. It is also shown that generalized Dirac oscillators can be identified with an anti-Jaynes–Cummings-type model and by spin flipping they can also be identified with a Jaynes–Cummings-type model.