121917879
A GAUSSIAN APPROACH TO SINE GORDON THEORY AT FINITE TEMPERATURE
We evaluate the gaussian effective potential (GEP) for the Sine Gordon theory at finite temperature. Using the GEP we find a critical temperature (Tc) such that for all T≥Tc, soliton solutions in this model cease to exist. The zero temperature situation has also been analysed and it has been shown that for λ≥λc, solitons do not exist.
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.
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.
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.
2592484
A General Treatment of Oblique Parameters
A re-examination is made of one-loop oblique electroweak corrections. General definitions are given of the oblique parameters without reference to any q2 expansion scheme. The old oblique parameters S, T and U are defined as differences of gauge boson vacuum polarization Π functions and suffice for describing certain observable ratios on the Z peak and the ρ parameter at q2 = 0. Regarding the new oblique parameters V, W and X, the first two are defined in terms of differences of Π functions as well as the wave function renormalization of the corresponding weak boson, and the third in terms of the difference of differences of two Π functions for γ - Z mixing. Explicit expressions for measurable quantities involving all six oblique parameters are given and experimental bounds are obtained on the latter, some for the first time. A review of these constraints suggests that the linear approximation of Peskin and Takeuchi is robust.
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
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.
119753398
Ultralight Dirac neutrinos from possible supergrand scenario
Persistent experimental suggestions about the electron neutrino being an ultralight Dirac particle in the mass range 20 to 55 eV have underlined the need to theoretically generate such a mass naturally, i.e., without any arbitrarily small Yukawa coupling or Higgs-field vacuum expectation value. A mechanism for this is proposed in this paper in terms of a 4\ifmmode\times\else\texttimes\fi{}4 neutral-fermion Majorana mass matrix for a single-generation world. The physical eigenstates turn out to be one ultralight and one very heavy Dirac neutrino within each fermion family. A general discussion (including the many-generation case) is given of the necessary and sufficient conditions for the emergence of such ultralight Dirac neutrinos. We also consider the skeleton of an illustrative, though incomplete, SO(10) supersymmetric (SUSY) grand unified theory (GUT) scenario\char22{}with a geometric type of hierarchy and some global symmetries\char22{}in which the aforesaid mass matrix is likely to arise. The ultralight neutrino Dirac mass is related at the tree level to that of its charge-$\frac{2}{3}$ family member by ${m}_{\ensuremath{\nu}}\ensuremath{\sim}m(\frac{2}{3})\frac{{M}_{\mathrm{SUSY}}}{{M}_{\mathrm{GUT}}}$ and radiative corrections are shown to be controllably small. Various implications of this result are brought out.
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.