142 research outputs found
Canonical quantization of non-local field equations
We consistently quantize a class of relativistic non-local field equations
characterized by a non-local kinetic term in the lagrangian. We solve the
classical non-local equations of motion for a scalar field and evaluate the
on-shell hamiltonian. The quantization is realized by imposing Heisenberg's
equation which leads to the commutator algebra obeyed by the Fourier components
of the field. We show that the field operator carries, in general, a reducible
representation of the Poincare group. We also consider the Gupta-Bleuler
quantization of a non-local gauge field and analyze the propagators and the
physical states of the theory.Comment: 18 p., LaTe
Vacuum state of the quantum string without anomalies in any number of dimensions
We show that the anomalies of the Virasoro algebra are due to the asymmetric
behavior of raising and lowering operators with respect to the ground state of
the string. With the adoption of a symmetric vacuum we obtain a non-anomalous
theory in any number of dimensions. In particular for D=4.Comment: 14 pages, LaTex, no figure
Quantum Hall Smectics, Sliding Symmetry and the Renormalization Group
In this paper we discuss the implication of the existence of a sliding
symmetry, equivalent to the absence of a shear modulus, on the low-energy
theory of the quantum hall smectic (QHS) state. We show, through
renormalization group calculations, that such a symmetry causes the naive
continuum approximation in the direction perpendicular to the stripes to break
down through infrared divergent contributions originating from naively
irrelevant operators. In particular, we show that the correct fixed point has
the form of an array of sliding Luttinger liquids which is free from
superficially "irrelevant operators". Similar considerations apply to all
theories with sliding symmetries.Comment: 7 pages, 3 figure
Non-perturbative approach to backscattering off a dynamical impurity in 1D Fermi systems
We investigate the problem of backscattering off a time-dependent impurity in
a one-dimensional electron gas. By combining the Schwinger-Keldysh method with
an adiabatic approximation in order to deal with the corresponding out of
equilibrium Dirac equation, we compute the total energy density (TED) of the
system. We show how the free fermion TED is distorted by the backscattering
amplitude and the geometry of the impurity.Comment: 5 pages, 2 figures, RevTex4. Appendix and some text added. Results
and conclusions did not change. Version accepted for publication in Phys.
Rev.
Vacuum properties of a Non-Local Thirring-Like Model
We use path-integral methods to analyze the vacuum properties of a recently
proposed extension of the Thirring model in which the interaction between
fermionic currents is non-local. We calculate the exact ground state wave
functional of the model for any bilocal potential, and also study its
long-distance behavior. We show that the ground state wave functional has a
general factored Jastrow form. We also find that it posess an interesting
symmetry involving the interchange of density-density and current-current
interactions.Comment: 25 pages, latex, no figure
Topological and Universal Aspects of Bosonized Interacting Fermionic Systems in (2+1)d
General results on the structure of the bosonization of fermionic systems in
d are obtained. In particular, the universal character of the bosonized
topological current is established and applied to generic fermionic current
interactions. The final form of the bosonized action is shown to be given by
the sum of two terms. The first one corresponds to the bosonization of the free
fermionic action and turns out to be cast in the form of a pure Chern-Simons
term, up to a suitable nonlinear field redefinition. We show that the second
term, following from the bosonization of the interactions, can be obtained by
simply replacing the fermionic current by the corresponding bosonized
expression.Comment: 29 pages, RevTe
On the Electromagnetic Response of Charged Bosons Coupled to a Chern-Simons Gauge Field: A Path Integral Approach
We analyze the electromagnetic response of a system of charged bosons coupled
to a Chern-Simons gauge field. Path integral techniques are used to obtain an
effective action for the particle density of the system dressed with quantum
fluctuations of the CS gauge field. From the action thus obtained we compute
the U(1) current of the theory for an arbitrary electromagnetic external field.
For the particular case of a homogeneous external magnetic field, we show that
the quantization of the transverse conductivity is exact, even in the presence
of an arbitrary impurity distribution. The relevance of edge states in this
context is analyzed. The propagator of density fluctuations is computed, and an
effective action for the matter density in the presence of a vortex excitation
is suggested.Comment: LaTex file, 27 pages, no figure
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