SPONTANEOUS BREAKING OF LORENTZ SYMMETRY AND VERTEX OPERATORS FOR VORTICES

Download

index.pdf

Date

2013-03-14

Author

Balachandran, A. P.
Kürkcüoğlu, Seçkin
De Queiroz, A. R.

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

211
views

84
downloads

We first review the spontaneous Lorentz symmetry breaking in the presence of mass-less gauge fields and infraparticles. This result was obtained long time ago in the context of rigorous quantum field theory (QFT) by Frohlich, Morchio and Strocchi [Ann. Phys. 119, 241 (1979); Phys. Lett. B 89, 61 (1979)] and reformulated by Balachandran and Vaidya (arXiv:1302.3406) using the notion of superselection sectors and directiondependent test functions at spatial infinity for gauge transformations. Inspired by these developments and under the assumption that the spectrum of the electric charge is quantized (in units of a fundamental charge e), we construct a family of vertex operators which create winding number k, electrically charged Abelian vortices from the vacuum (zero winding number sector) and/or shift the winding number by k units. Vortices created by this vertex operator may be viewed both as a source and as a probe for inducing and detecting the breaking of spontaneous Lorentz symmetry. We find that for rotating vortices, the vertex operator at level k shifts the angular momentum of the vortex by k q/q, where q is the electric charge of the quantum state of the vortex and q is the charge of the vortex scalar field under the U(1) gauge field. We also show that, for charged-particle-vortex composites, angular momentum eigenvalues shift by k q/q q being the electric charge of the charged-particle-vortex composite. This leads to the result that for q/q half-odd integral and for odd k, our vertex operators flip the statistics of charged-particle-vortex composites from bosons to fermions and vice versa. For fractional values of q/q, application of vertex operator on charged-particlevortex composite leads in general to composites with anyonic statistics.

Subject Keywords

Nuclear and High Energy Physics, Astronomy and Astrophysics

URI

https://hdl.handle.net/11511/43966

Journal

MODERN PHYSICS LETTERS A

DOI

https://doi.org/10.1142/s0217732313500284

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Charged lepton flavor physics and extra dimensions Iltan, E. I. (World Scientific Pub Co Pte Lt, 2007-06-28) We estimate the charged lepton electric dipole moments and the branching ratios of radiative lepton flavor violating decays in the framework of the two Higgs doublet model with the inclusion of two extra dimensions. Here, we consider that the new Higgs doublet is accessible to one of the extra dimensions with a Gaussian profile and the fermions are accessible to the other extra dimension with uniform zero-mode profile. We observe that the numerical values of the physical quantities studied enhance with the ...
Noncommutative nonlinear sigma models and integrability Kürkcüoğlu, Seçkin (American Physical Society (APS), 2008-09-01) We first review the result that the noncommutative principal chiral model has an infinite tower of conserved currents and discuss the special case of the noncommutative CP1 model in some detail. Next, we focus our attention to a submodel of the CP1 model in the noncommutative spacetime A(theta)(R2+1). By extending a generalized zero-curvature representation to A(theta)(R2+1) we discuss its integrability and construct its infinitely many conserved currents. A supersymmetric principal chiral model with and wi...
Magnetic dipole moment of the light tensor mesons in light cone QCD sum rules Alıyev, Tahmasıb; Savcı, Mustafa (IOP Publishing, 2010-07-01) The magnetic dipole moments of the light tensor mesons f(2), a(2) and the strange K-2*(0)(1430) tensor meson are calculated in the framework of the light cone QCD sum rules. It is observed that the values of the magnetic dipole moment for the charged tensor particles are considerably different from zero. These values are very close to zero for the light neutral f(2) and a(2) tensor mesons, while it has a small nonzero value for the neutral strange K-2*(0)(1430) tensor meson.
Associative photoproduction of charmed particles near threshold Rekalo, MP; Tomasi-Gustafsson, E (Elsevier BV, 2001-02-15) We calculate the cross section and the beam asymmetry for exclusive photoproduction of charmed particles near threshold (gamma + p --> Lambda (+)(c) (D-0) over bar), in the framework of an effective Lagrangian model. We discuss the sensitivity of these observables to the magnetic moment of the Lambda (c) baryon and of the coupling constant in the p Lambda D-c vertex. We show that exclusive measurements allow, in principle, to determine the magnetic moments of charmed baryons. (C) 2001 Published by Elsevier ...
Mass spectra of heavy quarkonia and B-c decay constant for static scalar-vector interactions with relativistic kinematics Ikhdair, SM; Sever, Ramazan (World Scientific Pub Co Pte Lt, 2005-11-10) We reproduce masses of the self-conjugate and non-self-conjugate mesons in the context of the spinless Salpeter equation taking into account the relativistic kinematics and the quark spins. The hyperfine splittings for the 2S charmonium and IS bottomonium are also calculated. Further, the pseudoscalar and vector decay constants of the Be meson and the unperturbed radial wave function at the origin are also calculated. We have obtained a local equation with a complete relativistic corrections to a class of t...

Citation Formats

A. P. Balachandran, S. Kürkcüoğlu, and A. R. De Queiroz, “SPONTANEOUS BREAKING OF LORENTZ SYMMETRY AND VERTEX OPERATORS FOR VORTICES,” MODERN PHYSICS LETTERS A, pp. 0–0, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/43966.