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B. Rosenstein

Publications and source records attributed to B. Rosenstein.

42 records · Page 3Linked to original sources
arXiv1994

Fermionic Operators from Bosonic Fields in 3+1 Dimensions

We present a construction of fermionic operators in 3+1 dimensions in terms of bosonic fields in the framework of $QED_4$. The basic bosonic variables are the electric fields $E_i$ and their conjugate momenta $A_i$. Our construction generalizes the analogous constuction of fermionic operators in 2+1 dimensions. Loosely speaking, a fermionic operator is represented as a product of an operator that creates a pointlike charge and an operator that creates an infinitesimal t'Hooft loop of half integer strength. We also show how the axial $U(1)$ transformations are realized in this construction.

hep-th↗
arXiv1993

Edge States in Strong Magnetic Field

Energies and wave functions of edge states in twodimensional electron gas are evaluated for a finite step potential barrier model. The spectrum exhibits richer structure than observed previously for an infinite barrier model. Surprisingly, instead of smooth Landau level bending in the vicinity of the barrier, the levels acquire a steplike form. These plateaus have a direct impact on widths of the magnetotransport conducting channels.

cond-mat↗
arXiv1993

A Candidate for Exact Continuum Dual Theory for Scalar QED$_3$

We discuss a possible exact equivalence of the Abelian Higgs model and a scalar theory of a magnetic vortex field in 2+1 dimensions. The vortex model has a current - current interaction and can be viewed as a strong coupling limit of a massive vector theory. The fixed point structure of the theory is discussed and mapped into fixed points of the Higgs model.

hep-th↗
arXiv1992

Quarks as topological defects or what is confined inside a hadron?

We present a picture of confinement based on representation of quarks as pointlike topological defects. The topological charge carried by quarks and confined in hadrons is explicitly constructed in terms of Yang - Mills variables. In 2+1 dimensions we are able to construct a local complex scalar field $V(x)$, in terms of whichthe topological charge is $Q=-\frac{i}{4π}\int d^2x ε_{ij}\partial_i(V^*\partial_i V -c.c.)$. The VEV of the field $V$ in the confining phase is nonzero and the charge is the winding number corresponding to homotopy group $π_1(S^1)$. Qurks carry the charge $Q$ and therefore are topological solitons. The effective Lagrangian for $V$ is derived in models with adjoint and fundamental quarks. In 3+1 dimensions the explicit expression for $V$ and therefore a detailed picture is not available. However, assuming the validity of the same mechanism wepoint out several interesting qualitative consequences. We argue that in the Georgi - Glashow model or any grand unified model the photon (in the Higgs phase) should have a small nonperturbative mass and $W^\pm$ should be confined although with small string tension.

hep-th↗
arXiv1992

New Look at QED$_4$: the Photon as a Goldstone Boson and the Topological Interpretation of Electric Charge

We develop the dual picture for Quantum Electrodynamics in 3+1 dimensions. It is shown that the photon is massless in the Coulomb phase due to spontaneous breaking of the magnetic symmetry group. The generators of this group are the magnetic fluxes through any infinite surface $Φ_S$. The order parameter for this symmetry breaking is the operator $V(C)$ which creates an infinitely long magnetic vortex. We show that although the order parameter is a stringlike rather than a local operator, the Goldstone theorem is applicable if $ \ne 0$. If the system is properly regularized in the infrared, we find $ \ne 0$ in the Coulomb phase and $V(C)=0$ in the Higgs phase. The Higgs - Coulomb phase transition is therefore understood as condensation of magnetic vortices. The electric charge in terms of $V(C)$ is topological and is equal to the winding number of the mapping from a circle at spatial infinity into the manifold of possible vacuum expectation values of a magnetic vortex in a given direction. Since the vortex operator takes values in $S^1$ and $Π_1(S^1)={\cal Z}$, the electric charge is quantized topologically.

hep-th↗