69 research outputs found
Self-consistent perturbation expansion for Bose-Einstein condensates satisfying Goldstone's theorem and conservation laws
Quantum-field-theoretic descriptions of interacting condensed bosons have
suffered from the lack of self-consistent approximation schemes satisfying
Goldstone's theorem and dynamical conservation laws simultaneously. We present
a procedure to construct such approximations systematically by using either an
exact relation for the interaction energy or the Hugenholtz-Pines relation to
express the thermodynamic potential in a Luttinger-Ward form. Inspection of the
self-consistent perturbation expansion up to the third order with respect to
the interaction shows that the two relations yield a unique identical result at
each order, reproducing the conserving-gapless mean-field theory [T. Kita, J.
Phys. Soc. Jpn. 74, 1891 (2005)] as the lowest-order approximation. The
uniqueness implies that the series becomes exact when infinite terms are
retained. We also derive useful expressions for the entropy and superfluid
density in terms of Green's function and a set of real-time dynamical equations
to describe thermalization of the condensate.Comment: 15 pages, 6 figures, to appear in Phys. Rev.
Super-oblique corrections and non-decoupling of supersymmetry breaking
If supersymmetric partners of the known particles have masses at the
multi-TeV scale, they will not be directly discovered at planned future
colliders and decouple from most observables. However, such superpartners also
induce non-decoupling effects that break the supersymmetric equivalence of
gauge boson couplings and gaugino couplings through supersymmetric
analogues of the oblique corrections. Working within well-motivated theoretical
frameworks, we find that multi-TeV scale supersymmetric particles produce
deviations at the 1-10% level in the ratios . Such effects allow one
to bound the scale of kinematically inaccessible superpartners through
precision measurements of processes involving the accessible superparticles.
Alternatively, if all superpartners are found, significant deviations imply the
existence of highly split exotic supermultiplets.Comment: 18 pages, REVTeX, no figur
Simulating (electro)hydrodynamic effects in colloidal dispersions: smoothed profile method
Previously, we have proposed a direct simulation scheme for colloidal
dispersions in a Newtonian solvent [Phys.Rev.E 71,036707 (2005)]. An improved
formulation called the ``Smoothed Profile (SP) method'' is presented here in
which simultaneous time-marching is used for the host fluid and colloids. The
SP method is a direct numerical simulation of particulate flows and provides a
coupling scheme between the continuum fluid dynamics and rigid-body dynamics
through utilization of a smoothed profile for the colloidal particles.
Moreover, the improved formulation includes an extension to incorporate
multi-component fluids, allowing systems such as charged colloids in
electrolyte solutions to be studied. The dynamics of the colloidal dispersions
are solved with the same computational cost as required for solving
non-particulate flows. Numerical results which assess the hydrodynamic
interactions of colloidal dispersions are presented to validate the SP method.
The SP method is not restricted to particular constitutive models of the host
fluids and can hence be applied to colloidal dispersions in complex fluids
Dual Order Parameter for the Nodal Liquid
The guiding conception of vortex-condensation-driven Mott insulating behavior
is central to the theory of the nodal liquid. We amplify our earlier
description of this idea and show how vortex condensation in 2D electronic
systems is a natural extension of 1D Mott insulating and 2D bosonic Mott
insulating behavior. For vortices in an underlying superconducting pair field,
there is an important distinction between the condensation of flux hc/2e and
flux hc/e vortices. The former case leads to spin-charge confinement,
exemplified by the band insulator and the charge-density-wave. In the latter
case, spin and charge are liberated leading directly to a 2D Mott insulator
exhibiting *spin-charge separation*. Possible upshots include not only the
nodal liquid, but also a novel undoped antiferromagnetic insulating phase with
gapped excitations exhibiting spin-charge separation.Comment: 16 pages, 2 figure
Spin half fermions with mass dimension one: theory, phenomenology, and dark matter
We provide the first details on the unexpected theoretical discovery of a
spin-one-half matter field with mass dimension one. It is based upon a complete
set of dual-helicity eigenspinors of the charge conjugation operator. Due to
its unusual properties with respect to charge conjugation and parity, it
belongs to a non-standard Wigner class. Consequently, the theory exhibits
non-locality with (CPT)^2 = - I. We briefly discuss its relevance to the
cosmological `horizon problem'. Because the introduced fermionic field is
endowed with mass dimension one, it can carry a quartic self-interaction. Its
dominant interaction with known forms of matter is via Higgs, and with gravity.
This aspect leads us to contemplate the new fermion as a prime dark matter
candidate. Taking this suggestion seriously we study a supernova-like explosion
of a galactic-mass dark matter cloud to set limits on the mass of the new
particle and present a calculation on relic abundance to constrain the relevant
cross-section. The analysis favours light mass (roughly 20 MeV) and relevant
cross-section of about 2 pb. Similarities and differences with the WIMP and
mirror matter proposals for dark matter are enumerated. In a critique of the
theory we bare a hint on non-commutative aspects of spacetime, and
energy-momentum space.Comment: 78 pages [Changes: referee-suggested improvements, additional
important references, and better readability
Physics Opportunities of e+e- Linear Colliders
We describe the anticipated experimental program of an e+e- linear collider
in the energy range 500 GeV -- 1.5 TeV. We begin with a description of current
collider designs and the expected experimental environment. We then discuss
precision studies of the W boson and top quark. Finally, we review the range of
models proposed to explain the physics of electroweak symmetry breaking and
show, for each case, the central role that the linear collider experiments will
play in elucidating this physics. (to appear in Annual Reviews of Nuclear and
Particle Science)Comment: 93 pages, latex + 23 figures; typos corrections + 1 reference adde
A systematic study of J/psi suppression in cold nuclear matter
Based on a Glauber model, a statistical analysis of all mid-rapidity J/psi
hadroproduction and leptoproduction data on nuclear targets is carried out.
This allows us to determine the J/psi-nucleon inelastic cross section, whose
knowledge is crucial to interpret the J/psi suppression observed in heavy-ion
collisions, at SPS and at RHIC. The values of sigma are extracted from each
experiment. A clear tension between the different data sets is reported. The
global fit of all data gives sigma=3.4+/-0.2 mb, which is significantly smaller
than previous estimates. A similar value, sigma=3.5+/-0.2 mb, is obtained when
the nDS nuclear parton densities are included in the analysis, although we
emphasize that the present uncertainties on gluon (anti)shadowing do not allow
for a precise determination of sigma. Finally, no significant energy dependence
of the J/psi-N interaction is observed, unless strong nuclear modifications of
the parton densities are assumed.Comment: 25 pages, 5 figure
Fractionalization patterns in strongly correlated electron systems: Spin-charge separation and beyond
We discuss possible patterns of electron fractionalization in strongly
interacting electron systems. A popular possibility is one in which the charge
of the electron has been liberated from its Fermi statistics. Such a
fractionalized phase contains in it the seed of superconductivity. Another
possibility occurs when the spin of the electron, rather than its charge, is
liberated from its Fermi statistics. Such a phase contains in it the seed of
magnetism, rather than superconductivity. We consider models in which both of
these phases occur and study possible phase transitions between them. We
describe other fractionalized phases, distinct from these, in which fractions
of the electron themselves fractionalize, and discuss the topological
characterization of such phases. These ideas are illustrated with specific
models of p-wave superconductors, Kondo lattices, and coexistence between
d-wave superconductivity and antiferromagnetism.Comment: 28 pages, 11 fig
Charmonium absorption by nucleons
dissociation in collisions with nucleons is studied within a boson
exchange model and the energy dependence of the dissociation cross section is
calculated from the threshold for production to high
energies. We illustrate the agreement of our results with calculations based on
short distance QCD and Regge theory. The compatibility between our calculations
and the data on photoproduction on a nucleon is discussed. We evaluate
the elastic cross section using a forward dispersion relation and
demonstrate the overall agreement with the predictions from QCD sum rules. Our
results are compatible with the phenomenological dissociation cross section
evaluated from the experimental data on production from ,
and collisions.Comment: 14 pages, revtex, including 13 figures, accepted for publication in
Phys. Rev.
O(N) Quantum fields in curved spacetime
For the O(N) field theory with lambda Phi^4 self-coupling, we construct the
two-particle-irreducible (2PI), closed-time-path (CTP) effective action in a
general curved spacetime. From this we derive a set of coupled equations for
the mean field and the variance. They are useful for studying the
nonperturbative, nonequilibrium dynamics of a quantum field when full back
reactions of the quantum field on the curved spacetime, as well as the
fluctuations on the mean field, are required. Applications to phase transitions
in the early Universe such as the Planck scale or in the reheating phase of
chaotic inflation are under investigation.Comment: 31 pages, 2 figures, uses RevTeX 3.1, LaTeX 2e, AMSfonts 2.2,
graphics 0.6; To appear in Phys. Rev. D (7/15/97
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