arXiv subjects

E. C. Marino

Publications and source records attributed to E. C. Marino.

63 records · Page 4Linked to original sources

arXiv1996

Massive Quantum Vortex Excitations in a Pure Gauge Abelian Theory in 2+1D

We introduce and study a pure gauge abelian theory in 2+1D in which massive quantum vortex states do exist in the spectrum of excitations. This theory can be mapped in a three dimensional gas of point particles with a logarithmic interaction, in the grand-canonical ensemble. We claim that this theory is the 2+1D analog of the Sine-Gordon, the massive vortices being the counterparts of Sine-Gordon solitons. We show that a symmetry breaking, order parameter, similar to the vacuum expectation value of a Higgs field does exist.

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arXiv1996

Local Charged States of the Gauge Field in Three Dimensional Maxwell-Type Theories

Gauge invariant local creation operators of charged states are introduced and studied in pure gauge theories of the Maxwell type in 2+1D. These states are usually unphysical because of the subsidiary condition imposed on the physical subspace by Gauss' law. A dual Maxwell theory which possesses a topological electric charge is introduced. Pure Electrodynamics lies in the sector where the topological charge identically vanishes. Charge bearing operators fully expressed in terms of the gauge field, however, can create physical states in the nontrivial topological sectors which thereby generalize QED. An order disorder structure exists relating the charged operators and the magnetic flux creating (vortex) operators, both through commutation rules and correlation functions. The relevance of this structure for bosonization in 2+1D is discussed.

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arXiv1996

Charge and Magnetic Flux Correlations in Chern-Simons Theory with Fermions

Charge and magnetic flux bearing operators are introduced in Chern-Simons theory both in its pure form and when it is coupled to fermions. The magnetic flux creation operator turns out to be the Wilson line. The euclidean correlation functions of these operators are shown to be local and are evaluated exactly in the pure case and through an expansion in the inverse fermion mass whenever these are present. Physical states only occur in the presence of fermions and consist of composite charge-magnetic flux carrying states which are in general anyonic. The large distance behavior of the correlation functions indicates the condensation of charge and magnetic flux.

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arXiv1994

A New Quantum Vortex Operator and Its Correlation Functions

A new local and gauge invariant quantum vortex operator is constructed in three-dimensional gauge field theories. The correlation functions of this operator are evaluated exactly in pure Maxwell theory and by means of a loop expansion in the Abelian Higgs model. In the broken symmetry phase of the latter an explicit expression for the mass of the quantum vortices is obtained from the long distance exponential decay of the two-point function.

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arXiv1993

Are There Topologically Charged States Associated with Quantum Electrodynamics ?

We present a formulation of Quantum Electrodynamics in terms of an antisymmetric tensor gauge field. In this formulation the topological current of this field appears as a source for the electromagnetic field and the topological charge therefore acts physically as an electric charge. The charged states of QED lie in the sector where the topological charge is identical to the matter charge. The antisymmetric field theory, however, admits new sectors where the topological charge is more general. These nontrivial, electrically charged, sectors contain massless states orthogonal to the vacuum which are created by a gauge invariant operator and can be interpreted as coherent states of photons. We evaluate the correlation functions of these states in the absence of matter. The new states have a positive definite norm and do interact with the charged states of QED in the usual way. It is argued that if these new sectors are in fact realized in nature then a very intense background electromagnetic field is necessary for the experimental observation of them. The order of magnitude of the intensity threshold is estimated.

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arXiv1993

Mass Spectrum and Correlation Functions of Nonabelian Quantum Magnetic Monopoles

The method of quantization of magnetic monopoles based on the order-disorder duality existing between the monopole operator and the lagrangian fields is applied to the description of the quantum magnetic monopoles of `t Hooft and Polyakov in the SO(3) Georgi-Glashow model. The commutator of the monopole operator with the magnetic charge is computed explicitly, indicating that indeed the quantum monopole carries $4π/g$ units of magnetic charge. An explicit expression for the asymptotic behavior of the monopole correlation function is derived. From this, the mass of the quantum monopole is obtained. The tree-level result for the quantum monopole mass is shown to satisfy the Bogomolnyi bound ($M_{\rm mon} \geq 4 π\frac{M}{g^2}$) and to be within the range of values found for the energy of the classical monopole solution.

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arXiv1993

Quantum Electrodynamics of Particles on a Plane and the Chern-Simons Theory

We study the electrodynamics of generic charged particles (bosons, fermions, relativistic or not) constrained to move on an infinite plane. An effective gauge theory in 2+1 dimensional spacetime which describes the real electromagnetic interaction of this particles is obtained. The relationship between this effective theory with the Chern-Simons theory is explored. It is shown that the QED lagrangian {\it per se} produces the Chern-Simons constraint relating the current to the effective gauge field in 2+1 D. It is also shown that the geometry of the system unavoidably induces a contribution from the topological $θ$-term that generates an explicit Chern-Simons term for the effective 2+1 dimensional gauge field as well as a minimal coupling of the matter to it. The possible relation of the effective three dimensional theory with the bosonization of the Dirac fermion field in 2+1 D is briefly discussed as well as the potential applications in Condensed Matter systems.

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arXiv1992

Duality, Quantum Vortices and Anyons in Maxwell-Chern-Simons-Higgs Theories

The order-disorder duality structure is exploited in order to obtain a quantum description of anyons and vortices in: a) the Maxwell theory; b) the Abelian Higgs Model; c) the Maxwell-Chern-Simons theory; d) the Maxwell-Chern-Simons-Higgs theory. A careful construction of a charge bearing order operator($σ$) and a magnetic flux bearing disorder operator (vortex operator) ($μ$) is performed, paying attention to the necessary requirements for locality. An anyon operator is obtained as the product $φ=σμ$. A detailed and comprehensive study of the euclidean correlation functions of $σ$, $μ$ and $φ$ is carried on in the four theories above. The exact correlation functions are obtained in cases $\underline{a}$ and $\underline{c}$. The large distance behavior of them is obtained in cases $\underline{b}$ and $\underline{d}$. The study of these correlation functions allows one to draw conclusions about the condensation of charge and magnetic flux, establishing thereby an analogy with the Ising model. The mass of vortex and anyon excitations is explicitly obtained wherever these excitations are present in the spectrum. The independence between the mechanisms of mass generation for the vortices and for the vector field is clearly exposed.

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arXiv1992

The New Charged Massless States of Quantum Electrodynamics

Quantum Electrodynamics can be formulated as the theory of an antisymmetric tensor gauge field. In this formulation the topological current of this field appears as an additional source for the electromagnetic field. The topological charge therefore acts physically as an electric charge. The topologically nontrivial, electrically charged sector contains massless quantum states orthogonal to the vacuum in spite of the absence of classical topological solutions. These states are created by a gauge invariant local operator and can be interpreted as coherent states of photons. The obtainment of a quantity like charge, which is usually associated with matter, as a property of some peculiar states of the gauge field points towards the possibility of describing both the matter and the fields which mediate its interactions within the same unified framework.

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