1,427 research outputs found
Entanglement and Nonunitary Evolution
We consider a collapsing relativistic spherical shell for a free quantum
field. Once the center of the wavefunction of the shell passes a certain radius
R, the degrees of freedom inside R are traced over. We show that an observer
outside this region will determine that the evolution of the system is
nonunitary. We argue that this phenomenon is generic to entangled systems, and
discuss a possible relation to black hole physics.Comment: 14 pages, 1 figure; Added a clarification regarding the relation with
black hole physic
Numerical Study of the Lowest Energy Configurations for Global String-Antistring Pairs
We investigate the lowest energy configurations for string - antistring pairs
at fixed separations by numerically minimizing the energy. We show that for
separations smaller than a critical value, a region of false vacuum develops in
the middle due to large gradient energy density. Consequently, well defined
string - antistring pairs do not exist for such separations. We present an
example of vortex - antivortex production by vacuum bubbles where this effect
seems to play a dynamical role in the annihilation of the pair. We also study
the dependence of the energy of an string-antistring pair on their separation
and find deviations from a simple logarithmic dependence for small separations.Comment: 14 pages, in LATEX, 7 figures (not included
Monopole Chains in the Compact Abelian Higgs Model with doubly-charged Matter Field
We study the properties of topological defects in the lattice compact Abelian
Higgs Model with charge Q=2 matter field. We find that monopoles and
antimonopoles form chain-like structures which are dense in the
confinement/symmetric phase. In this phase the mentioned structures explain
both the confinement of single-charged and the breaking of strings spanned
between doubly-charged test particles. This observation helps to understand how
the non-diagonal gluons, once taken into consideration in the Abelian
projection of gluodynamics, could reproduce in this framework the string
breaking for adjoint charges.Comment: 11 pages, 8 figures; Revision 1: two figures added, percolation
properties discussed, title changed, enlarged version; Revision 2: misprints
are corrected, to be published in Phys.Lett.
Squeezed States in the de Sitter Vacuum
We discuss the treatment of squeezed states as excitations in the Euclidean
vacuum of de Sitter space. A comparison with the treatment of these states as
candidate no-particle states, or alpha-vacua, shows important differences
already in the free theory. At the interacting level alpha-vacua are
inconsistent, but squeezed state excitations seem perfectly acceptable. Indeed,
matrix elements can be renormalized in the excited states using precisely the
standard local counterterms of the Euclidean vacuum. Implications for
inflationary scenarios in cosmology are discussed.Comment: 15 pages, no figures. One new citation in version 3; no other change
Off-Forward Parton Distributions in 1+1 Dimensional QCD
We use two-dimensional QCD as a toy laboratory to study off-forward parton
distributions (OFPDs) in a covariant field theory. Exact expressions (to
leading order in ) are presented for OFPDs in this model and are
evaluated for some specific numerical examples. Special emphasis is put on
comparing the and regimes as well as on analyzing the
implications for the light-cone description of form factors.Comment: Revtex, 6 pages, 4 figure
Quantum chiral phases in frustrated easy-plane spin chains
The phase diagram of antiferromagnetic spin-S chain with XY-type anisotropy
and frustrating next-nearest-neighbor interaction is studied in the limit of
large integer S with the help of a field-theoretical approach. It is shown that
the existence of gapless and gapped chiral phases found in recent numerical
studies [M.Kaburagi et al., J. Phys. Soc. Jpn. vol.68, 3185 (1999), T.Hikihara
et al., J. Phys. Soc. Jpn. vol.69, 259 (2000)] is not specific for S=1, but is
rather a generic large-S feature. Estimates for the corresponding transition
boundaries are obtained, and a sketch of the typical phase diagram is
presented. It is also shown that frustration stabilizes the Haldane phase
against the variation of the anisotropy.Comment: 4 revtex pages, 3 ps figure
Defect Production in Slow First Order Phase Transitions
We study the formation of vortices in a U(1) gauge theory following a
first-order transition proceeding by bubble nucleation, in particular the
effect of a low velocity of expansion of the bubble walls. To do this, we use a
two-dimensional model in which bubbles are nucleated at random points in a
plane and at random times and then expand at some velocity .
Within each bubble, the phase angle is assigned one of three discrete values.
When bubbles collide, magnetic `fluxons' appear: if the phases are different, a
fluxon--anti-fluxon pair is formed. These fluxons are eventually trapped in
three-bubble collisions when they may annihilate or form quantized vortices. We
study in particular the effect of changing the bubble expansion speed on the
vortex density and the extent of vortex--anti-vortex correlation.Comment: 13 pages, RevTeX, 15 uuencoded postscript figure
Boson--fermion bound states in two dimensional QCD
We derive the boson--fermion bound state equation in a two dimensional gauge
theory in the large--\nc limit. We analyze the properties of this equation
and in particular, find that the mass trajectory is linear with respect to the
bound state level for the higher mass states.Comment: 5pp, 2 figs (as a separate file), TIT/HEP-23
Supergrassmannian and large N limit of quantum field theory with bosons and fermions
We study a large N_{c} limit of a two-dimensional Yang-Mills theory coupled
to bosons and fermions in the fundamental representation. Extending an approach
due to Rajeev we show that the limiting theory can be described as a classical
Hamiltonian system whose phase space is an infinite-dimensional
supergrassmannian. The linear approximation to the equations of motion and the
constraint yields the 't Hooft equations for the mesonic spectrum. Two other
approximation schemes to the exact equations are discussed.Comment: 24 pages, Latex; v.3 appendix added, typos corrected, to appear in
JM
Non--decoupling, triviality and the parameter
The dependence of the parameter on the mass of the Higgs scalar and
the top quark is computed non--perturbatively using the expansion in
the standard model. We find an explicit expression for the parameter
that requires the presence of a physical cutoff. This should come as no
surprise since the theory is presumably trivial. By taking this cutoff into
account, we find that the parameter can take values only within a
limited range and has finite ambiguities that are suppressed by inverse powers
of the cutoff scale, the so called ``scaling--violations". We find that large
deviations from the perturbative results are possible, but only when the cutoff
effects are also large.Comment: 16pp, Figures NOT included, harvmac, minor modifications incl.
wording, refs., UCLA/92/TEP/23,OHSTPY-HEP-T-92-00
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