121312231
Effective lagrangian for a supersymmetric non-abelian gauge theory
We evaluate the one-loop effective potential for a supersymmetricSU(2) gauge theory in the presence of a constant external magnetic field and discuss the minima of the resulting effective potential.
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.
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.
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.
10508956
Higgs-mediated heavy neutrino pair-production at pp supercolliders
Gluon fusion into a very heavy neutrino pair by Higgs exchange is shown to lead to substantial production cross sections at pp supercolliders even without any extra generation of quarks. Rates are calculated for scalar as well as pseudoscalar Higgs. The angular correlation between dileptons emerging from the decays of the neutrinos shows distinctive features for Dirac and Majorana neutrinos as well as for scalar and pseudoscalar Higgs.
121583641
Spin-isospin mixing without spontaneous symmetry breakdown
The phenomenon advertised in the title is demonstrated in an exactly symmetricSU(2) classical gauge theory with a scalar isodoublet of matter fields. Possible implications for chromodynamics are discussed briefly.
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.
119416995
Colliding beam test of neutral isoscalar axial current
We discuss the condition for the presence of isoscalar parity violating neutral currents and notice that it is present in most gauge-theoretic models of weak interactions. We investigate the possibility of testing its presence in e+e− colliding beams and find that parity violation in the reaction e+e−→Λ°Λ° would provide an unambiguous test for such a current.
119774769
Exact sum rules for the decay constant of the neutral pion
Two new sum rules are obtained from fairly general assumptions. They relate the π 0 decay constant to appropriate energy integrals of the differences between the total hadronic production cross sections of two real photons (i) of equal and opposite helicities and (ii) of parallel and perpendicular linear polarizations. The sum rules are derived by both dispersion-theoretic and light-plane methods. The experimental verification of these sum rules will be possible in the near future by studying the reaction ee→(eeγγ)→ee + "anything hadronic" with polarized colliding beams in storage rings. Theoretical and experimental aspects of these questions are discussed.