814 research outputs found
Running coupling constants of the Luttinger liquid
Two running coupling constants of the Luttinger liquid are computed in the
fermion-fermion and fermion-antifermion channels. Nontrivial scaling laws are
found together with Landau poles. The apparent contradiction with the expected
vanishing of the beta functions is explained.Comment: Final version, to appear in Phys. Lett.
Testing Lorentz invariance violations in the tritium beta-decay anomaly
We consider a Lorentz non-invariant dispersion relation for the neutrino,
which would produce unexpected effects with neutrinos of few eV, exactly where
the tritium beta-decay anomaly is found. We use this anomaly to put bounds on
the violation of Lorentz invariance. We discuss other consequences of this
non-invariant dispersion relation in neutrino experiments and high-energy
cosmic-ray physics.Comment: 11 pages, 2 figures, elsart style. Some references added. Final
version to appear in Physics Letters
Atomic Model of Susy Hubbard Operators
We apply the recently proposed susy Hubbard operators to an atomic model. In
the limiting case of free spins, we derive exact results for the entropy which
are compared with a mean field + gaussian corrections description. We show how
these results can be extended to the case of charge fluctuations and calculate
exact results for the partition function, free energy and heat capacity of an
atomic model for some simple examples. Wavefunctions of possible states are
listed. We compare the accuracy of large N expansions of the susy spin
operators with those obtained using `Schwinger bosons' and `Abrikosov
pseudo-fermions'. For the atomic model, we compare results of slave boson,
slave fermion, and susy Hubbard operator approximations in the physically
interesting but uncontrolled limiting case of N->2. For a mixed representation
of spins we estimate the accuracy of large N expansions of the atomic model. In
the single box limit, we find that the lowest energy saddle-point solution
reduces to simply either slave bosons or slave fermions, while for higher boxes
this is not the case. The highest energy saddle-point solution has the
interesting feature that it admits a small region of a mixed representation,
which bears a superficial resemblance to that seen experimentally close to an
antiferromagnetic quantum critical point.Comment: 17 pages + 7 pages Appendices, 14 figures. Substantial revision
Relation between Tunneling and Particle Production in Vacuum Decay
The field-theoretical description of quantum fluctuations on the background
of a tunneling field is revisited in the case of a functional
Schrodinger approach. We apply this method in the case when quantum
fluctuations are coupled to the field through a mass-squared term,
which is 'time-dependent' since we include the dynamics of . The
resulting mode functions of the fluctuation field, which determine the quantum
state after tunneling, display a previously unseen resonance effect when their
mode number is comparable to the curvature scale of the bubble. A detailed
analysis of the relation between the excitations of the field about the true
vacuum (interpreted as particle creation) and the phase shift coming from
tunneling is presented.Comment: 20 pages, 4 figures, submitted to PR
Deriving Gauge Symmetry and Spontaneous Lorentz Violation
We consider a class of field theories with a four-vector field
in addition to other fields supplied with a global charge symmetry - theories
which have partial gauge symmetry in the sense of only imposing it on those
terms in the Lagrangian density which have derivatives as factors in them. We
suppose that spontaneous Lorentz invariance breaking occurs in such a theory
due to the four-vector field taking a non-zero vacuum expectation value. Under
some very mild assumptions, we show that this Lorentz violation is not
observable and the whole theory is practically gauge invariant. A very
important presupposition for this theorem is that an initial condition is
imposed on the no-derivative expressions corresponding to the early Universe
being essentially in a vacuum state. This condition then remains true forever
and can be interpreted as a gauge constraint. We formulate the conditions under
which the spontaneous Lorentz violation becomes observable. Spontaneously
broken Lorentz invariance could be seen by some primordially existing or
created "fossil" charges with the property of moving through the Universe with
a fixed velocity.Comment: Extended versio
Shrimp-RG-U-Pb zircon geochronology of mesoproterozoic metamorphism and plutonism in the southwesternmost United States
Mesoproterozoic intrusive and granulite-grade metamorphic rocks in southern California have been inferred to be exotic to North America on the basis of perceived chronologic incompatibility with autochthonous cratonal rocks. Ion microprobe geochronology indicates that zircons in granulite-grade gneisses, dated at 1.4 Ga using conventional methods, are composed of 1.68-1.80-Ga cores and 1.19-Ga rims. These Early Proterozoic gneisses were metamorphosed at extremely high temperatures and moderate pressures during emplacement of the 1.19-Ga San Gabriel anorthosite complex. The lack of a 1.4-Ga metamorphic event suggests that Proterozoic rocks in this region, rather than being exotic to North America, may in fact be a midcrustal window into Mesoproterozoic crustal evolutionary processes in southwestern North America
Thermal Decay of the Cosmological Constant into Black Holes
We show that the cosmological constant may be reduced by thermal production
of membranes by the cosmological horizon, analogous to a particle ``going over
the top of the potential barrier", rather than tunneling through it. The
membranes are endowed with charge associated with the gauge invariance of an
antisymmetric gauge potential. In this new process, the membrane collapses into
a black hole, thus the net effect is to produce black holes out of the vacuum
energy associated with the cosmological constant. We study here the
corresponding Euclidean configurations ("thermalons"), and calculate the
probability for the process in the leading semiclassical approximation.Comment: 14 pages, 6 figures. Minor correction
Standard Model with Partial Gauge Invariance
We argue that an exact gauge invariance may disable some generic features of
the Standard Model which could otherwise manifest themselves at high energies.
One of them might be related to the spontaneous Lorentz invariance violation
(SLIV) which could provide an alternative dynamical approach to QED and
Yang-Mills theories with photon and non-Abelian gauge fields appearing as
massless Nambu-Goldstone bosons. To see some key features of the new physics
expected we propose partial rather than exact gauge invariance in an extended
SM framework. This principle applied, in some minimal form, to the weak
hypercharge gauge field B_{mu} and its interactions leads to SLIV with B field
components appearing as the massless Nambu-Goldstone modes, and provides a
number of distinctive Lorentz beaking effects. Being naturally suppressed at
low energies they may become detectable in high energy physics and
astrophysics. Some of the most interesting SLIV processes are considered in
significant detail.Comment: 32 pages, extended version, to appear in Eur.Phys.J.
Spontaneous Lorentz Violation via QED with Non-Exact Gauge Invariance
We reconsider an alternative theory of the QED with the photon as a massless
vector Nambu-Goldstone boson and show that the underlying spontaneous Lorentz
violation caused by the vector field vacuum expectation value, while being
superficial in gauge invariant theory, becomes physically significant in the
QED with a tiny gauge non-invariance. This leads, through special dispersion
relations appearing for charged fermions, to a new class of phenomena which
could be of distinctive observational interest in particle physics and
astrophysics. They include a significant change in the GZK cutoff for UHE
cosmic-ray nucleons, stability of high-energy pions and W bosons, modification
of nucleon beta decays, and some others.Comment: 15 pages, to appear in Eur.Phys.J.
Isospin splitting in heavy baryons and mesons
A recent general analysis of light-baryon isospin splittings is updated and
extended to charmed baryons.
The measured and splittings stand out as being difficult
to understand in terms of two-body forces alone.
We also discuss heavy-light mesons; though the framework here is necessarily
less general, we nevertheless obtain some predictions that are not strongly
model-dependent.Comment: 12 pages REVTEX 3, plus 4 uuencoded ps figures, CMU-HEP93-
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