8,398 research outputs found
Modified 2D Proca Theory: Revisited Under BRST and (Anti-)Chiral Superfield Formalisms
Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) approach, we discuss
mainly the fermionic (i.e. off-shell nilpotent) (anti-)BRST, (anti-)co-BRST and
some discrete dual-symmetries of the appropriate Lagrangian densities for a two
(1+1)-dimensional (2D) modified Proca (i.e. a massive Abelian 1-form) theory
without any interaction with matter fields. One of the novel observations of
our present investigation is the existence of some kinds of restrictions in the
case of our present St\"{u}ckelberg-modified version of the 2D Proca theory
which is not like the standard Curci-Ferrari (CF)-condition of a non-Abelian
1-form gauge theory. Some kinds of similarities and a few differences between
them have been pointed out in our present investigation. To establish the
sanctity of the above off-shell nilpotent (anti-)BRST and (anti-)co-BRST
symmetries, we derive them by using our newly proposed (anti-)chiral superfield
formalism where a few specific and appropriate sets of invariant quantities
play a decisive role. We express the (anti-)BRST and (anti-)co-BRST conserved
charges in terms of the superfields that are obtained after the applications of
(anti-)BRST and (anti-)co-BRST invariant restrictions and prove their off-shell
nilpotency and absolute anticommutativity properties, too. Finally, we make
some comments on (i) the novelty of our restrictions/obstructions, and (ii) the
physics behind the negative kinetic term associated with the pseudo-scalar
field of our present theory.Comment: LaTeX file, 58 pages, Journal reference give
Magnetic field induced Coulomb blockade in small disordered delta-doped heterostructures
At low densities, electrons confined to two dimensions in a delta-doped
heterostructure can arrange themselves into self-consistent droplets due to
disorder and screening effects. We use this observation to show that at low
temperatures, there should be resistance oscillations in low density two
dimensional electron gases as a function of the gate voltage, that are greatly
enhanced in a magnetic field. These oscillations are intrinsic to small samples
and give way to variable range hopping resistivity at low temperatures in
larger samples. We place our analysis in the context of recent experiments
where similar physical effects have been discussed from the point of view of a
Wigner crystal or charge density wave picture.Comment: 6 pages RevTeX, 2 figures, published versio
Coulomb blockade and quantum tunnelling in the low-conductivity phase of granular metals
We study the effects of Coulomb interaction and inter-grain quantum
tunnelling in an array of metallic grains using the phase-functional approach
for temperatures well below the charging energy of individual
grains yet large compared to the level spacing in the grains. When the
inter-grain tunnelling conductance , the conductivity in
dimensions decreases logarithmically with temperature
(), while for ,
the conductivity shows simple activated behaviour ().
We show, for bare tunnelling conductance , that the parameter
determines the competition between
charging and tunnelling effects. At low enough temperatures in the regime
, a charge is shared among a finite
number of grains, and we find a soft
activation behaviour of the conductivity, , where is the effective
coordination number of a grain.Comment: 11 pages REVTeX, 3 Figures. Appendix added, replaced with published
versio
Active Vibration Control of a Smart Cantilever Beam on General Purpose Operating System
All mechanical systems suffer from undesirable vibrations during their operations. Their occurrence is uncontrollable as it depends on various factors. However, for efficient operation of the system, these vibrations have to be controlled within the specified limits. Light weight, rapid and multi-mode control of the vibrating structure is possible by the use of piezoelectric sensors and actuators and feedback control algorithms. In this paper, direct output feedback based active vibration control has been implemented on a cantilever beam using Lead Zirconate-Titanate (PZT) sensors and actuators. Three PZT patches were used, one as the sensor, one as the exciter providing the forced vibrations and the third acting as the actuator that provides an equal but opposite phase vibration/force signal to that of sensed so as to damp out the vibrations. The designed algorithm is implemented on Lab VIEW 2010 on Windows 7 Platform.Defence Science Journal, 2013, 63(4), pp.413-417, DOI:http://dx.doi.org/10.14429/dsj.63.486
Supervariable and BRST Approaches to a Toy Model of Reparameterization Invariant Theory
We apply the geometrical supervariable approach to derive the appropriate
quantum Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetries for the toy
model of a free scalar relativistic particle by exploiting the classical
reparameterization symmetry of this theory. The supervariable approach leads to
the derivation of an (anti-)BRST invariant Curci-Ferrari (CF)-type restriction
which is the hallmark of a quantum theory (discussed within the framework of
BRST formalism). We derive the conserved and off-shell nilpotent (anti-)BRST
charges and prove their absolute anticommutativity property by using the
virtues of CF-type restriction of our present theory. We establish the sanctity
of the existence of CF-type restriction (i) by considering the (anti-)BRST
symmetries for the coupled (but equivalent) Lagrangians, and (ii) by proving
the symmetry invariance of the Lagrangians within the framework of
supervariable approach. We capture the off-shell nilpotency and absolute
anticommutativity of the conserved (anti-)BRST charges within the framework of
(anti-)chiral supervariable approach (ACSA) to BRST formalism. One of the novel
observations of our present endeavor is the derivation of CF-type restriction
by using the modified Bonora-Tonin (BT) supervariable approach (while deriving
the (anti-)BRST symmetries for the target spacetime and/or momenta variables)
and by symmetry considerations of the Lagrangians of the theory. The rest of
the (anti-)BRST symmetries for the other variables of our theory are derived by
using the ACSA to BRST formalismComment: LaTeX file, 26 pages, no figure
Optical conductivity of a granular metal at not very low temperatures
We study the finite-temperature optical conductivity, sigma(omega,T), of a
granular metal using a simple model consisting of a array of spherical metallic
grains. It is necessary to include quantum tunneling and Coulomb blockade
effects to obtain the correct temperature dependence of sigma(omega, T), and to
consider polarization oscillations to obtain the correct frequency dependence.
We have therefore generalized the Ambegaokar-Eckern-Schoen (AES) model for
granular metals to obtain an effective field theory incorporating the
polarization fluctuations of the individual metallic grains. In contrast to the
DC conductivity, which is determined by inter-grain charge transfer and obeys
an Arrhenius law at low temperature, the AC conductivity is dominated by a
resonance peak for intra-grain polarization oscillations, which has a power-law
tail at low frequencies. More importantly, although the resonance frequency
agrees with the classical prediction, the resonance width depends on intergrain
quantum tunneling and Coulomb blockade parameters, in addition to the classical
Drude relaxation within the grain. This additional damping is due to inelastic
cotunneling of polarization fluctuations to neighbouring grains and it
qualitatively differs from the DC conductivity in its temperature dependence
quite unlike the expectation from Drude theory.Comment: Added figures, published version, 16 pages, REVTe
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